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Nanoscale PAPER Cite this: Nanoscale, 2016, 8, 5755 Received 21st December 2015, Accepted 10th February 2016 DOI: 10.1039/c5nr09085g www.rsc.org/nanoscale Noise and sensitivity characteristics of solid-state nanopores with a boron nitride 2-D membrane on a pyrex substrateKyeong-Beom Park, a Hyung-Jun Kim, a Hyun-Mi Kim, a Sang A Han, b Kang Hyuck Lee, b Sang-Woo Kim b and Ki-Bum Kim* a We have fabricated highly sensitive and low noise solid-state nanopores with multiple layers of boron nitride (BN) membranes transferred onto a pyrex substrate. Both the dielectric and icker noise of the device, which have been described as one of the bottlenecks to making highly sensitive 2-D membrane nanopore devices, have been reduced as follows. Firstly, a pyrex substrate with a low dielectric constant (ε r = 4.75.1) and low dielectric loss (D < 0.001) is used instead of a Si substrate to reduce the dielectric noise of the device. Secondly, icker noise is minimized by employing a 100 nm thick SiN x supporting layer with a small opening (less than 100 nm) for BN membrane transfer to enhance the mechanical stabi- lity. The icker noise is further reduced by transferring multiple layers of BN instead of a single layer of BN. The resulting multi-layered BN device shows signicant reduction of dielectric and 1/f noise as compared to the devices with a single layerof the BN and Si substrate. Furthermore, we demonstrate dsDNA trans- locations with a high signal to noise ratio around 50 at 100 and 10 kHz bandwidths. Introduction Considerable progress has been made recently with biological nanopores for single nucleotide identification 1 and plausible DNA sequencing. 24 This progress has resulted from the advantages inherent to biological nanopores, such as (a) repro- ducible formations of extremely small pore sizes (less than 1.5 nm), (b) extremely small thickness sensing zones (approxi- mately 1 nm or less depending on protein utilized), (c) excel- lent low noise levels of the protein nanopore with less than 10 pA I RMS , (d) controlling the DNA translocation speed using enzymes, and (e) relatively small interactions between the DNA and protein pore wall (infrequent sticking or clogging of DNA to the pore wall). On the contrary, the progress in solid-state nanopores has been much slower due to the lack of such advantages of protein nanopores. Still, solid-state nanopores are an attractive alternative because of their long term stability and versatility. Solid-state nanopores can be operated in harsh environments, be produced in a scalable manner, and can be engineered to act as an active device by itself or integrated with other sensing mechanisms. 57 The basic structure of solid-state nanopores and their oper- ating mechanism are almost the same as those of biological nanopores. A thin membrane with a nanometer scale pore pro- vides a structure to sense biomolecules on a single molecule level by electrically trapping and translocating them through the pore. 5 Here, the structure is utilized as a resistive pulse sensor to monitor the transient reduction of the pore conduc- tance and time of reduction when the analyte biomolecules are electrophoretically driven through the pore. Until now, a wide range of analytes have been studied with solid-state nano- pores, most commonly single- and double-stranded DNA, RNA, and proteins, as well as the interaction between these molecules. 6,818 Still, various hindrances remain for the suc- cessful application of solid-state nanopores for biomolecule detection in general and, in particular, for DNA sequencing. These issues include (a) controlling the translocation speed of the biomolecule, (b) improving the trapping probability, and (c) enhancing both the spatial (lateral and vertical) and tem- poral resolution of the device. In particular, the application of atomically thin two-dimen- sional materials such as graphene, 1922 boron nitride (BN) 23,24 as well as the recently developed transition metal-chalcogenide of MoS 2 2527 as a membrane is an attractive method to improve the vertical resolution of these devices. For instance, to sequence DNA using solid-state nanopores, the vertical Electronic supplementary information (ESI) available. See DOI: 10.1039/ c5nr09085g a Department of Materials Science and Engineering, Seoul National University, Seoul 151-742, Korea. E-mail: [email protected]; Fax: +82-2-885-5820; Tel: +82-2-880-7095 b SKKU Advanced Institute of Nanotechnology (SAINT), Center for Human Interface Nanotechnology (HINT), Sungkyunkwan University (SKKU), Suwon 440-746, Korea This journal is © The Royal Society of Chemistry 2016 Nanoscale, 2016, 8, 57555763 | 5755 Published on 24 February 2016. Downloaded by Sungkyunkwan University on 15/03/2016 05:29:07. View Article Online View Journal | View Issue

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Nanoscale

PAPER

Cite this: Nanoscale, 2016, 8, 5755

Received 21st December 2015,Accepted 10th February 2016

DOI: 10.1039/c5nr09085g

www.rsc.org/nanoscale

Noise and sensitivity characteristics of solid-statenanopores with a boron nitride 2-D membrane ona pyrex substrate†

Kyeong-Beom Park,a Hyung-Jun Kim,a Hyun-Mi Kim,a Sang A Han,b

Kang Hyuck Lee,b Sang-Woo Kimb and Ki-Bum Kim*a

We have fabricated highly sensitive and low noise solid-state nanopores with multiple layers of boron

nitride (BN) membranes transferred onto a pyrex substrate. Both the dielectric and flicker noise of the

device, which have been described as one of the bottlenecks to making highly sensitive 2-D membrane

nanopore devices, have been reduced as follows. Firstly, a pyrex substrate with a low dielectric constant

(εr = 4.7–5.1) and low dielectric loss (D < 0.001) is used instead of a Si substrate to reduce the dielectric

noise of the device. Secondly, flicker noise is minimized by employing a 100 nm thick SiNx supporting

layer with a small opening (less than 100 nm) for BN membrane transfer to enhance the mechanical stabi-

lity. The flicker noise is further reduced by transferring multiple layers of BN instead of a single layer of BN.

The resulting multi-layered BN device shows significant reduction of dielectric and 1/f noise as compared

to the devices with a single layer of the BN and Si substrate. Furthermore, we demonstrate dsDNA trans-

locations with a high signal to noise ratio around 50 at 100 and 10 kHz bandwidths.

Introduction

Considerable progress has been made recently with biologicalnanopores for single nucleotide identification1 and plausibleDNA sequencing.2–4 This progress has resulted from theadvantages inherent to biological nanopores, such as (a) repro-ducible formations of extremely small pore sizes (less than1.5 nm), (b) extremely small thickness sensing zones (approxi-mately 1 nm or less depending on protein utilized), (c) excel-lent low noise levels of the protein nanopore with less than10 pA IRMS, (d) controlling the DNA translocation speed usingenzymes, and (e) relatively small interactions between the DNAand protein pore wall (infrequent sticking or clogging of DNAto the pore wall). On the contrary, the progress in solid-statenanopores has been much slower due to the lack of suchadvantages of protein nanopores. Still, solid-state nanoporesare an attractive alternative because of their long term stabilityand versatility. Solid-state nanopores can be operated in harshenvironments, be produced in a scalable manner, and can be

engineered to act as an active device by itself or integratedwith other sensing mechanisms.5–7

The basic structure of solid-state nanopores and their oper-ating mechanism are almost the same as those of biologicalnanopores. A thin membrane with a nanometer scale pore pro-vides a structure to sense biomolecules on a single moleculelevel by electrically trapping and translocating them throughthe pore.5 Here, the structure is utilized as a resistive pulsesensor to monitor the transient reduction of the pore conduc-tance and time of reduction when the analyte biomoleculesare electrophoretically driven through the pore. Until now, awide range of analytes have been studied with solid-state nano-pores, most commonly single- and double-stranded DNA, RNA,and proteins, as well as the interaction between thesemolecules.6,8–18 Still, various hindrances remain for the suc-cessful application of solid-state nanopores for biomoleculedetection in general and, in particular, for DNA sequencing.These issues include (a) controlling the translocation speed ofthe biomolecule, (b) improving the trapping probability, and(c) enhancing both the spatial (lateral and vertical) and tem-poral resolution of the device.

In particular, the application of atomically thin two-dimen-sional materials such as graphene,19–22 boron nitride (BN)23,24

as well as the recently developed transition metal-chalcogenideof MoS2

25–27 as a membrane is an attractive method toimprove the vertical resolution of these devices. For instance,to sequence DNA using solid-state nanopores, the vertical

†Electronic supplementary information (ESI) available. See DOI: 10.1039/c5nr09085g

aDepartment of Materials Science and Engineering, Seoul National University,

Seoul 151-742, Korea. E-mail: [email protected]; Fax: +82-2-885-5820;

Tel: +82-2-880-7095bSKKU Advanced Institute of Nanotechnology (SAINT), Center for Human Interface

Nanotechnology (HINT), Sungkyunkwan University (SKKU), Suwon 440-746, Korea

This journal is © The Royal Society of Chemistry 2016 Nanoscale, 2016, 8, 5755–5763 | 5755

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resolution of the device, namely, the thickness of membrane,should be less than 0.5 nm for a single base-pair resolution.Because the thicknesses of a single layer of graphene, BN, andMoS2 are approximately 0.3–0.7 nm, these are the idealmembrane materials for highly sensitive solid-state nanoporedevices. Moreover, thinner membranes are expected toenhance the blockade signal to enhance the signal-to-noiseratio (SNR), assuming that the noise level is the same.10,17

However, the initial attempts of fabricating 2-D membranenanopores using graphene were not satisfactory due to thehigh flicker noise that resulted.19–21 High flicker noise has alsobeen obtained from other 2-D membrane materials such as BNand MoS2,

23,26 which showed flicker noises about two ordersof magnitude higher than SiNx membranes. Initially, thehydrophobic nature of the 2-D membrane material and struc-tural defects in the membrane, such as pinholes and domainboundaries, were suggested as the source of this high flickernoise.20 However, recent reports by Kumar et al.28 andHeerema et al.29 reveal that the flicker noise level can begreatly reduced using fewer graphene layers instead of a singlelayer, which suggests that the mechanical stability of the mem-brane might be the major source of the flicker noise. Similarly,other researchers found out that decreasing the opening areaof the supporting layer for the 2-D membrane effectivelyreduces the flicker noise in both graphene22 and BN.24 All ofthese results suggest that the mechanical stability of the mem-brane material is indeed one of the major factors that influ-ence the flicker noise.

In this manuscript, we would like to present the fabricationscheme of a highly sensitive, low noise solid-state nanoporedevice using a hexagonal-BN (h-BN) membrane. Hexagonal-BNlayers are insulators with a wide band gap (∼5.9 eV), unlike thegraphene which is a conductor.30 Additionally, h-BN nano-pores are highly resistant to oxidation and turned hydrophilicby UV-oxygen treatments.24 Both these attributes are importantconsiderations in the search for solid-state nanoporemembrane materials. First of all, h-BN membranes were trans-ferred onto two different substrate materials, Si and pyrex sub-strates, to compare the dielectric noise. Previously, we reportedthat the dielectric noise of the solid-state nanopore can be sig-nificantly improved by using a pyrex substrate instead of a Sisubstrate due to the low capacitance and dielectric loss of thepyrex substrate.17 Again, in this work, pyrex-based BN poresexhibit two orders of lower dielectric noise level than Si based,and the reduced dielectric noise permits sub 5 pA root meansquare (RMS) noise level at 10 kHz frequency. The flicker noiselevel was compared using a single layer of h-BN versus multiplelayers of h-BN. Here, the membrane layer(s) was transferredonto a 100 nm thick SiNx supporting layer with only about an80 nm opening area diameter. It is shown that the flickernoise power is two orders of magnitude smaller when usingmultiple layers of BN than when using a single layer.

Finally, we demonstrate how the DNA translocation signalvaries with the filter frequency (10 kHz versus 100 kHz) for thetranslocating signals of a 1 kbp double-stranded DNA. Theresulting 2D devices enable a sufficient noise level to measure

dsDNA translocation events with a 100 kHz filter frequency.The dsDNA translocation signal appears quite differentdepending on the filter frequency employed, which shows theimportance of improving both the spatial and temporal resolu-tion of the nanopores.

ExperimentsPyrex substrate preparation

The fabrication process of the h-BN nanopores is schematicallyillustrated in Fig. 1a. Firstly, a low dielectric noise substrate ofpyrex was prepared. The details of the device fabricationprocess were reported in our previous studies.17 Briefly, a200 nm thick a-Si film was deposited on the top and bottomsurfaces of a pyrex substrate by low pressure chemical vapordeposition (LPCVD). Then, an a-Si layer was lithographicallydefined and dry etched while the pyrex substrate was wet-chemically etched using diluted-HF until a microchannel wasvertically formed through the substrate. The resulting structureformed a 2 µm circular opening on the top-side of the a-Silayer (Fig. 1b). Then, a LPCVD SiNx membrane with 100 nmthickness was transferred onto the pyrex substrate, and a sub-100 nm hole was drilled in the SiNx membrane by a focusedion beam (FIB; Carl Zeiss, AURIGA). This layer acted as amechanical supporting layer for the BN membrane. We triedto reduce the area of the opening of the SiN membranebecause the mechanical stability of the membrane (or freestanding area) is quite important in reducing the flicker noiselevel.22,24

BN film preparation

Multiple layers of hexagonal-BN (h-BN) films were grown bychemical vapor deposition (CVD) on the Cu foil (Alfa Aesar,125 μm thickness) using ammonia borane (NH3-BH3) as thesource gas. The h-BN film grown under this condition wasidentified to have 6–8 layers by cross-sectional TEM analysis.31

The h-BN films were then transferred onto the SiN supportinglayer by a PMMA coating, wet-chemical etching of the Cu foil,and PMMA cleaning with an annealing process. Fig. 1d showsthat the Raman peak of the h-BN appears at 1366 cm−1, whichagrees with the published B–N vibration mode (E2g).

32 The XPSdata also show that the binding energies of N 1s and B 1s are397.8 eV and 190.3 eV, respectively, which are very close to thereported values of the CVD grown h-BN film (Fig. 1e).18,27

Once the BN membrane was transferred onto the SiNx/pyrexsample with a sub-100 nm hole in the SiNx, a nanometer-sizepore was drilled in the BN membrane by using a transmissionelectron microscope (TEM; JEOL JEM 2100F) with the pore sizeranging from 3 to 12 nm.

Nanopore measurements

Before the ionic current measurements of the BN nanopores,the sample was treated with oxygen plasma (PELCO easi-GlowTM) at a 0.2 mbar working pressure and 15 mA plasmacurrent for 5 min, similarly to the UV-oxygen treatment of the

Paper Nanoscale

5756 | Nanoscale, 2016, 8, 5755–5763 This journal is © The Royal Society of Chemistry 2016

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BN layer, to enhance the wettability of the sample.24 Then, thenanopore chip was mounted on a microfluidic flow cell with aPDMS gasket, and both chambers were filled with a 1 M KClelectrolyte and TE buffer solution (10 mM Tris-HCl and 1 mMEDTA buffer, pH 8.0). The Ag/AgCl electrodes were insertedinto both chambers, and the two electrodes were connected toan Axopatch 200B amplifier with a 250 kHz sampling rate andlow pass four-pole Bessel filter at 10 kHz or 100 kHz. For thedsDNA experiments, 1 kbp Fermentas NoLimits DNA frag-ments (Thermo Scientific) were used and 1 nM of dsDNA wasinserted into the cis-chamber.

Results and discussionIonic conductance measurements

Fig. 2 shows representative TEM images of nanopores fabri-cated on multiple layers of the h-BN film with sizes rangingfrom 3 nm to 8 nm (Fig. 2a) and the corresponding I–V curveswere measured from −200 mV to 200 mV (Fig. 2b). The ioniccurrent clearly shows a linear ohmic behavior in the voltageranges that were measured. In Fig. 2c, the pore conductancevalue is plotted with respect to the pore diameter. It is knownthat the pore conductance depends on the pore diameter and

thickness of the membrane when the effect of the surfacecharge is negligible due to the high electrolyte concentration.

Gnanopore ¼ σKCl=4LeffπD2 þ 1

D

� �

where, σKCl is the conductivity of the electrolyte solution (11.1S m−1 for 1 M KCl), Leff is the effective thickness of the mem-brane and D is the pore diameter.33 The first and second termin the equation imply that the channel resistance and accessresistance contribute to the conductance. As is shown inFig. 2c, the pore conductance follows a linear dependency onthe pore diameter with an effective membrane thickness of Leff= 1.4 ± 0.2 nm. Considering that our h-BN films have 6–8layers with a physical thickness of 2.0–3.0 nm, this fittingvalue is in the reasonable range because the effective thicknessis typically smaller than the physical thickness.34 Moreover,the linear dependency of the pore conductance on the porediameter indicates that the pore conductance is mainly depen-dent on the access resistance, as is observed when the mem-brane thickness is smaller than the pore diameter.

Noise characteristics of BN nanopores

Each noise part of BN devices such as flicker and dielectricwas improved in the following sequence. First, the dielectric

Fig. 1 (a) Fabrication steps of h-BN nanopore on pyrex substrate. Each layer thickness is as follows; pyrex – 300 μm, a-Si – 200 nm, Si3N4 –

100 nm, BN – 6–8 layers, (b) optical microscopy images of the top side of the multiple layer BN-pyrex platform. The opening area (blue region) ofthe top side is 2 μm (scale bar is 25 μm). (c) Low magnification transmission electron microscopy (TEM) image of BN membrane suspended on theSiN window. (d) Raman spectra of h-BN thin film. The peak point is 1366 cm−1. (e) XPS data of h-BN thin film. Main peak of N 1s is 397.8 eV and B 1sis 190.3 eV.

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noise was reduced by using a pyrex substrate instead of a Sisubstrate and then, the flicker noise by using multiple layersof h-BN instead of a single layer of BN; both were transferredto a SiN supporting layer with openings smaller than 100 nm.The noise characteristics of the nanopores were analyzed usingthe power spectral density (PSD, SI) curve of the measuredcurrent traces and the RMS noise (IRMS) obtained from theintegration of the PSD with respect to the frequency up to thefilter frequency. Here, the power spectral density (SI) and theRMS noise (IRMS) are expressed as the sum of four differentnoise sources as follows:

SI ¼ SFlickerð/1=f Þ þ STherð/1=RPÞþ SDielecð/CDDDf Þ þ SAmpð/f 2Þ

Irms2 ¼

ðSIdf ;

Irms2 ¼ IFlicker2ð/ lnðf ÞÞ þ ITher2ð/f =RPÞ

þ IDielec2ð/CDDDf 2Þ þ IAmp2ð/f 3Þ

where, f is the frequency, RP is the pore resistance and CD andDD are the capacitance and dielectric loss of the nanoporedevice.35,36 The four noise sources are the flicker noise(SFlicker), thermal noise combined with shot noise (SThermal),

dielectric noise (SDielectric) and amplifier noise (SAmp), and eachsource has a specific frequency dependency.

Here, three different types of BN nanopore device structureswere prepared to investigate the effect of the structural distinc-tion on the noise properties: ① multiple-BN/SiNx/pyrex ②

single-BN/SiNx/pyrex ③ single-BN/SiNx/Si, where multiple-BNand single-BN are multiple layers of BN and single layer of BN(Graphene Supermarket).

Noise comparison with Si and pyrex substrate. To investi-gate the impact of the substrate material, the ionic currentnoise of a single-BN membrane nanopore fabricated on a con-ventional Si substrate was compared to that of a single-BNnanopore on a pyrex substrate. Fig. 3a shows 2-second ioniccurrent traces measured at 0 mV and 100 mV of (a) a single-BNon Si (red), (b) a single-BN on a pyrex substrate (blue), as wellas (c) a multiple-BN on a pyrex substrate, with a pore diameterof approximately 4 and 5 nm. In addition, Fig. 3b and c showthe corresponding power spectral density (PSD) curvesobtained at 0 and 100 mV, respectively. All the data shown inFig. 3 were obtained at a 250 kHz sampling frequency andwere filtered at 10 kHz.

First of all, the pyrex-based single-BN pore considerablyexhibits the low dielectric noise (Fig. 3b) due to the low capaci-tance and dielectric loss of the pyrex substrate (5–10 pF in 1 M

Fig. 2 (a) Transmission electron microscopy (TEM) images of several sized BN nanopores. Each is high magnification image of 3, 5, 6, 8 nm-sizedBN nanopores, respectively (scale bar = 3 nm). (b) I–V characteristics of BN nanopores with different pore sizes at 1 M KCl concentration. (c) Con-ductance vs. pore diameter plot for multiple layered BN nanopores. The effective thickness value is extracted from fitting into theoretical conduc-tance formula.

Paper Nanoscale

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KCl). The dielectric noise level of a pyrex-based device is3 × 10−8 f (pA2 Hz−1), which is two orders of magnitude lowerthan that of the Si-based device 5 × 10−6 f (pA2 Hz−1). Becauseof this large difference, the pyrex-based single-BN pore had alower RMS noise, 3.6 pARMS, while the Si-based single-BN porehad 28 pARMS measured at 0 mV. When voltage is appliedacross the pore and the ionic current is measured, flickernoise (1/f ) is generated as a function of applied voltage (orionic current), SFlicker = (AN/f )I

2, where AN is the noise powerand I is the ionic current.37 For instance, Fig. 3c shows thePSD of the devices measured at 100 mV. Here, both devices(single-BN/pyrex and single-BN/Si) show similar 1/f noise,where each fitting value is 36/f 1.15 and 86/f 1.15 (pA2 Hz−1) forthe pyrex and Si-based materials from the curve fitting withthe function S( f ) = A/f β (where A is fitting parameter and 0 < β

< 2, where parameter β is commonly close to 1). The slight dis-crepancy of the 1/f noise level appears to be caused by thedifference in the pore conductance of the two type of pores,where the conductance of a single-BN/Si device (G = 68 nS) isslightly higher than that of the single-BN/Py device (G = 43 nS).Fig. 3d shows the corresponding frequency response of IRMS

describing the contribution of each noise source to the totalRMS value. The IRMS curves have the plateau over the filter fre-

quency, in this graph, 10 kHz. The applied voltage (100 mV)across the pore amplified the RMS noise level to 36 pARMS forthe Si-based device and to 15 pARMS for the pyrex-based device.The dotted lines in Fig. 3d are the theoretically calculateddependency of 1/f noise (green) on the thermal + dielectricnoise (purple). The single-BN pyrex sample exhibited a similartrend to the flicker noise dependency, which means that onlythe 1/f noise contributed to the total RMS noise. On the otherhand, the flicker noise component of the single-BN/Si samplewas dominant only up to 3000 Hz, and the remaining fre-quency domain was governed by the dielectric noise. Thus, theIRMS values of the two pores showed a similar interval as theapplied voltage increased from 0 mV to 200 mV in the IRMS

versus voltage curve (Fig. 3f), where the slope of this curvemeans the IRMS dependency on the 1/f noise, and the IRMS ofboth pores shows the proportional scaling to the appliedvoltage with a similar slope. In other words, the IRMS of asingle-BN pyrex pore shows lower values compared to that of asingle-BN/Si pore because the latter is affected by the highdielectric noise as well as the 1/f noise in the voltage range wemeasured.

Noise comparison with single and multiple-BN. Now we willturn our attention to the comparison of single-BN versus mul-

Fig. 3 (a) Ionic current traces of single-BN pore on Si (ϕ 5 nm, G = 68 nS) in red color, s-BN (ϕ 4 nm, G = 43 nS) and multiple-BN pore (ϕ 8 nm, G =79 nS) on pyrex in blue and green colors under 0 mV and 100 mV. (b, c) Power spectral densities of the same pores corresponding to panel a,measured at 0 and 100 mV. (d) IRMS versus frequency curves of the same devices as described in panel c, measured at 100 mV. (e) Normalized powerspectral densities at various voltages for s-BN and m-BN pore. Each linear red line results from the fitting of the data to SI/I

2 = AN/f. (f ) IRMS of thecorresponding pores against the applied voltages up to 200 mV.

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tiple-BN membrane with regard to the flicker noise. Fig. 3a–cdescribe the current traces and PSD curves of single-BN (blue)and multiple-BN (green) on a pyrex substrate at 0 mV and100 mV. Both the single-BN and multiple-BN pores show a veryclose ionic current noise at 0 mV (3.6 pARMS and 4.3 pARMS,respectively). The PSD graph at 0 mV illustrates that the mul-tiple-BN pores (ϕ 8 nm, G = 79 nS) have a slightly higherthermal noise floor than the s-BN pore (ϕ 4 nm, G = 43 nS)because the thermal noise is proportional to the conductance(Sther = 4kT/Rpore = 4kTGpore). Again, when voltage was applied,flicker noise was generated and the noise level goes up to 15and 6.8 pARMS for the single-BN and multiple-BN baseddevices. As shown in Fig. 3c, the 1/f noise level of the multiple-BN based device (2.3/f1.05 pA2 Hz−1) was one order of magnitudelower than that of the single-BN based device (36/f1.15 pA2 Hz−1).The 1/f noise levels of our multiple-BN nanopores ranged from1/f to 10/f magnitudes (pA2 Hz−1) at 100 mV, depending on thepore size (Fig. S1, ESI†). Fig. 3e shows the normalizedpower spectral densities (SI/I

2) of the single-BN and multiple-BN nanopores to compare the noise power AN, which isindependent of the current and applied voltage. The PSD ofeach pore was converted to the normalized PSD with threedifferent voltages, and each of the normalized PSD curvesoverlap the same range of magnitudes. Each spectrum wasfitted to the following relation, SI/I

2 = AN/f to find the value ofnoise power. The fitting result of AN was 1.3 × 10−6 (dimension-less) and 3.7 × 10−8 for the single-BN and multiple-BN pore,respectively.

The AN value of the multiple-BN nanopores varied from 7.6× 10−7 to 2.1 × 10−8 as the pore diameter changed from ϕ 4 nmto 12 nm. Table S1† shows the previously reported values ofAN. Considering the pore size tested, our value of AN (3.7 ×10−8 for 8 nm pore size, 2.1 × 10−8 for 12 nm pore size) wasone order lower than the reported BN pore with ϕ 10 nm (6.7 ×10−7).24 Additionally, our value is comparable to the AN valueof typical SiNx pores (5 × 10−8).29,37 This indicates that mul-

tiple-BN pores combined with the small opening area in theSiNx supporting layer and improved the noise level in responseto the applied voltage. This result agrees with the recently pub-lished results of flicker noise reduction with increasing gra-phene layer thicknesses15,16 and small opening windowsizes,22,24 which is explained by the enhancement of the mech-anical stability. In Fig. 3f, the influence of the applied voltageon the IRMS is investigated in the corresponding single-BN andmultiple-BN device by varying the voltage from 0 to 200 mV.Fig. 3f shows that the IRMS values of the multiple-BN basedpore have a much lower voltage dependency than those of thesingle-BN based pore, where the slope of the former is aboutfour-times lower than that of the latter. This slope discrepancyis well matched with the difference in the 1/f noise level of thesingle-BN and multiple-BN pores, considering the relationshipIRMS

2 ¼ ÐSIdf . As a result of the low 1/f noise dependency, the

multiple-BN nanopores showed approximately 10 pARMS evenat 200 mV.

Noise comparison with 10 kHz and 100 kHz. The highbandwidth for nanopore measurements is required to detectaccurate current blockades, but increasing bandwidth isaccompanied by increasing noise and decreasing SNR. Toexplore the possibility of high bandwidth, the noise character-istics of the multiple-BN pore on a pyrex substrate weremeasured at 100 kHz bandwidth and compared with that at 10kHz filter frequency. As an example, Fig. 4a shows the PSDplot of the ϕ 8 nm multiple-BN pore at 0 and 100 mV, filteredat 10 kHz (green) and 100 kHz (red). The PSD curves were dam-pened in the region of each filter frequency. The spectral den-sities of the 100 kHz filter show a thermal noise floorcombined with a low dielectric noise and are located in the10−2 and 10−3 pA2 Hz−1 region at 104 to 105 Hz frequencies.

Fig. 4b shows the increase in the IRMS value by the existingthermal and dielectric noise in the 10–100 kHz bandwidth asobserved in the theoretical fits. Thus, the difference in theIRMS values using the 10 kHz and 100 kHz filter frequencies is

Fig. 4 (a) Power spectral densities of m-BN pore on pyrex under 0 mV and 100 mV, filtered at 10 kHz (green colors) and 100 kHz (red colors). (b)RMS noise versus frequency curves of the same pore for 10 kHz and 100 kHz filter under 100 mV, as described in panel a. The black dotted lineresults from the theoretical fits and it can be split into flicker and other noise part. (c) RMS noise of the corresponding m-BN pore with 10 kHz and100 kHz against the applied voltages up to 200 mV.

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almost the same, approximately 8 to 10 pA, and independentof the applied voltage. Although this device showed an RMSnoise increase of approximately 10 pA with a 100 kHz filter,the noise level was still below 20 pARMS at 200 mV, whichprovides sufficient noise level to detect biomoleculetranslocations.

Double-stranded DNA transport

The translocation events of the 1 kbp ds-DNA through the ϕ4 nm multiple-BN pore (25 nS) were measured at differentfilter frequencies (100 kHz and 10 kHz). The electrolyte solu-tion was 1 M KCl with 10 mM Tris and 1 mM EDTA (pH 8.0),and the concentration of the dsDNA was adjusted to 1 nM. Tosee the bandwidth effect, 1 kbp ds-DNA was selected for thisexperiment because the mean translocation time of this size ofDNA was reported to locate in 10 μs (100 kHz filter frequency)to 100 μs (10 kHz filter frequency).9 Fig. 5a shows the continu-ous ionic current traces measured with 150 mV (black),200 mV (red) and 250 mV (blue), filtered at 100 kHz. Also, data-sets of 10 kHz filter frequency are displayed in Fig. S2.† Fromthe ionic current traces, the actual DNA translocation eventswere selected to exclude bouncing or collision spikes. Forinstance, the histogram of all current drops at 200 mV isshown in Fig. S3a† which typically shows two Gaussian distri-bution. Here, we regard the first Gaussian as bouncing spikesand the second Gaussian as real translocation events. Indeed,both td and ΔI of the bouncing spikes are independent of theapplied voltage (Fig. S3b†) indicating that these are not theactual translocation events. So, only the events involved inGaussian distribution of translocations were selected andexhibited in the scatter plots.

The scatter plots for the blockade current (ΔI) and dwelltime (td) with 150 mV, 200 mV, and 250 mV of the appliedvoltage are summarized in Fig. 5b (100 kHz filter) andFig. S2b† (10 kHz filter). It is noted that the mean blockadecurrents filtered at 10 kHz look about two times lower than theones filtered at 100 kHz under all the voltage conditions. For

instance, the mean blockade current measured at 10 kHzvaries from 350 to 550 pA with applied voltages of 150–250 mV,while it varies from 600 to 1100 pA when measured at 100 kHzin the same applied voltage range. This tendency means thatthe translocation events at 10 kHz were distorted due to therelatively short translocation time. In fact, it is known that thesignal for fast single molecule events below the temporalresolution is notably attenuated.38 As is shown in Fig. S3b,†the mean dwell time of the 1 kbp ds-DNA translocationmeasured at 100 kHz was approximately 45, 29 and 23 μs atthe applied voltages of 150, 200, and 250 mV, respectively,which is smaller than the temporal resolution of the 10 kHzfilter (100 μs). To support this, Fig. S4a† shows a 30 s continu-ous current trace measured with the 100 kHz filter (blue) aswell as those digitally filtered to 10 kHz (red) using an 8 poleBessel filter. In addition, Fig. S4b† represents an example of7 DNA translocation events where the translocation timevaried from 20 to 200 μs. This is shown to demonstrate howthe electrical filter distorts the blockade signal when td ≤2τrise, where τrise is the finite rise time of the filter and isrelated to the filter frequency fc : τrise ≈ 0.33/fc (= 33 μs for10 kHz filter).36,39 Accordingly, the first four events with a tdless than 66 μs (= 2τrise) were clearly attenuated by the 10 kHzfilter while the DNA events longer than 66 μs were not.

The normalized histograms of ΔI with three different vol-tages are shown in Fig. 5c (100 kHz). The mean ΔI valuesobtained from a Gaussian fitting are shown with respect to theapplied voltages in the inset of Fig. 5c. As expected, the ΔIshows a linear dependency on the applied voltages and theslope of the linear fitting matches the blockade conductanceΔG (ΔI = VΔG). The measured blockade conductance for 1 kbpdsDNA was 4.3 ± 0.2 nS at 100 kHz. This is the comparablevalue to ΔG of single layered graphene nanopore with a 4 nmdiameter, which is ∼4.8 nS when scaled to 1 M KCl (ΔG ∼12 nS in 3 M KCl).22 In Fig. S2c,† the measured ΔG at 10 kHzwas distorted to 2.3 ± 0.1 nS and about two times lower thanthat at 100 kHz.

Fig. 5 (a) Ionic current traces for 1 kbp dsDNA translocation at 150 mV (black), 200 mV (red) and 250 mV (blue) through ϕ 4 nm m-BN nanopore in1 M KCl with TE buffer (pH 8.0), filtered at 100 kHz. Each trace is measured during 10 s. (b) Scatter plots of blockade current (ΔI) and dwell time for150 mV, 200 mV and 250 mV. (c) Normalized histogram of ΔI corresponding to (b) with different voltages. The inset is blockade current level as afunction of voltage, showing linear dependency of ΔI on the applied voltage.

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Finally, the signal to noise ratio (SNR = ΔI/IRMS) wasobtained with respect to the voltages from 150 mV to 250 mVwith two different filters (Fig. S5†). Although the SNRmeasured at 100 kHz is lower than those at 10 kHz, our BNpore has a sufficient SNR value at 100 kHz bandwidth (from40 to 55). This implies that we have a feasibility of applyinghigh bandwidth more than 100 kHz with 1 MHz bandwidthequipment.40

Conclusions

The aim of this research was to improve the noise propertiesof BN nanopores. We developed the BN pore using a low-noisesubstrate platform and multi-layered BN membranes withsmall opening area. After comparing the effect of the substratematerial, we demonstrated that our m-BN based devices had alower 1/f noise level than the s-BN based devices. As a result ofthe reduced 1/f and dielectric noise, the multiple-BN poreshad an ionic current noise level of 10 pARMS at 200 mV. Finally,we detected 1 kbp dsDNA translocation events through lownoise m-BN nanopores with 100 kHz and 10 kHz filters. Wealso confirmed that the signal to noise ratio of this device wasapproximately 50 for both filters. Although we demonstratedsimple double-stranded DNA transport with the m-BN pore inthis manuscript, we anticipate that our developed BN nano-pores, which have a high SNR, have the potential to identifythe four base pairs of DNA and realize DNA sequencing,eventually.

Acknowledgements

This research was supported by the Pioneer Research CenterProgram through the National Research Foundation of Koreafunded by the Ministry of Science, ICT & Future Planning(2012-0009563). Also, this work was supported by BioNanoHealth-Guard Research Center funded by the Ministry ofScience, ICT & Future Planning (MSIP) of Korea as GlobalFrontier Project (H-GUARD_2014M3A6B2060301).

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