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Nuwanjula Samarasingha,1 Cesar Rodriguez,1 Jaime Moya,1 Nalin Fernando,1 Stefan Zollner,1 Patrick
Ponath,2 Kristy J. Kormondy,2 Alex Demkov,2 Dipayan Pal,3 Aakash Mathur,3 Ajaib Singh,3 Surjendu
Dutta,4 Jaya Singhal,5 Sudeshna Chattopadhyay3,4,5
1Department of Physics, New Mexico State University, Las Cruces, NM2Department of Physics, University of Texas at Austin, Austin, Texas3Centre for Materials Science and Engineering, Indian Institute of Technology Indore, Indore 452020, India4Discipline of Physics, Indian Institute of Technology Indore, Indore 452020, India5Biosciences and Biomedical Engineering, Indian Institute of Technology Indore, Indore 452020, India
May 16, 2017AVS New Mexico Symposium
Excitonic Effect at Interfaces in
Thin Oxide Films
1National Science Foundation (DMR-1505172)
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
Outline
Introduction (Excitons)
Results:
- Excitons at interfaces: ZnO on Si, ZnO on SiO2, SrTiO3 thin films on
semiconductors
- X ray diffraction and X ray reflectance
Tanguy formalism and Type I, Type II quantum well
Conclusions
2
3
The Concept of an Exciton
Valence Band
Conduction BandEnergy
Ef
Ei
Eg
hω
e
Exciton: bound electron – hole pair
Mark Fox, Optical Properties of Solids (Oxford, 2010).
Troy K. Townsend, Inorganic Metal Oxide Nanocrystal Photocatalysts for solar fuel Generation from water (2014).
S.L. Pyshkin, L. Zv. Zifudin, Excitons in highly optically excited gallium phosphide, Journal of luminescence (1974).
Conduction band
Valence band
e
Wannier exciton(typical of inorganic semiconductors)
Semiconductor Picture
Ground State Wannier Exciton
Large radius
Radius is larger than
atomic spacing
Weakly bounded
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
4
Excitons at interfaces
ZnO on Si, SiO2 and SrTiO3 on Si, Ge, LaAlO3, SrTiO3
Spectroscopic Ellipsometer
What spectroscopic
ellipsometry reveals:
• Thickness (100 Å to 10000 Å)
• Excitonic absorption
• Refractive index
sample
Monochromator
polarizer
analyzer
detector
Φ
X ray reflectivity setup
What x-ray reflectivity
reveals:
• Thickness (5 Å to 1000 Å)
• Surface and interface
roughness
• Electron density profile
Thickness Roughness
X ray diffraction setup
What x-ray diffraction
reveals:
• Distances between atoms
• Lattice mismatch (strain)
• Grain size
X-ray beam
atoms
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
Outline
Introduction (Excitons)
Results:
- Excitons at interfaces: ZnO on Si, ZnO on SiO2, SrTiO3 thin films on
semiconductors
- X ray diffraction and X ray reflectance
Tanguy formalism and Type I, Type II quantum well
Conclusions
5Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
Film Thickness =𝟐𝝅
𝚫𝑸
X ray
reflectivity
6
ZnO thin film on Si (ALD)
Structural properties of the ZnO thin films
Atomic Layer Deposition technique (ALD) was used to grow,
• High quality
• Very low roughness crystalline ZnO thin film
• Grown at 200CAFM Images
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
5 nm
38 nm
19 nm
9 nm
7
ZnO thin film on Si (ALD)
Three Tauc-Lorentz oscillators.
Thickness confirmed by X ray reflectance and by a uniqueness fit.
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
8
ZnO thin film on Si (ALD)
Do the properties of ZnO layers on Si depend on the ZnO film thickness?
Real and imaginary part of the dielectric function of ZnO layers on Si decrease
monotonically with decreasing thickness.
Small blueshift with decreasing thickness.
Absorb less light with decreasing thickness below ~20 nm.
Kramers–Kronig consistent modeling with Tauc-Lorentz oscillators.
ZnO excitonic
bohr radius =2nm
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
9
ZnO thin film on SiO2 (ALD)
Do the properties of ZnO layers on SiO2 depend on the ZnO film thickness?
UV-Vis absorption spectra of ZnO films deposited on SiO2 using a UV-
Vis spectrophotometer in transmission mode.
Thinner ZnO films show higher absorption
coefficient at and above band edge.
( ) ( )n
gh B h E
For the direct transition n=1/2Eg - optical band gapB - constanth - incident photon energy
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
10
X ray diffraction
Peak PDF(2θ)
(100) 31.7651
(002) 34.4179
(101) 36.2497
PDF card number :
01-079-2205
X ray diffraction pattern matches with the standard
diffraction pattern of hexagonal ZnO.
Preferred orientation of the ZnO is along <002>
direction with c axis perpendicular to the substrate
surface.
𝑚𝑒𝑎𝑛 𝑔𝑟𝑎𝑖𝑛 𝑠𝑖𝑧𝑒 =0.9 ∗ 𝜆
𝐹𝑊𝐻𝑀 ∗ cos 𝜃
Scherrer’s equation:
λ: X-ray wavelength
FWHM: full width at half maximum
(in radians)
Grain size for both ZnO/Si and ZnO/SiO2 are
the same (20nm). Crystal structures of
ALD grown ZnO on Si and SiO2 are similar.
ZnO/SiO2
ZnO/Si
No structural difference between ZnO thin film grown on Si and SiO2.
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
11
The real and imaginary part of the dielectric
function of thin SrTiO3 layers on Si or Ge are
much smaller than the bulk.
SrTiO3 on Si/Ge: Absorb less light.
Spectroscopic Ellipsometry comparison of SrTiO3
on Si, Ge and bulk SrTiO3
Do the properties of SrTiO3 layers depend on the substrates?
Pranjal Kumar Gogoi, Daniel Schmidt, Temperature dependent dielectric function of bulk
SrTiO3:Urbach tail, band edges and excitonic effects, (2016).
X ray reflectivity
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
12
SrTiO3 on LaAlO3: Absorb more light
Spectroscopic Ellipsometry comparison of SrTiO3
on LaAlO3 and bulk SrTiO3
Do the properties of SrTiO3 layers depend on the substrates?
X ray reflectivity
Pranjal Kumar Gogoi, Daniel Schmidt, Temperature dependent dielectric function of bulk SrTiO3:Urbach tail,
band edges and excitonic effects, (2016).
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
X ray diffraction
𝛚
SrTiO3(200) 𝐚Ʇ (Å)
Vertical
Strain
(𝜺Ʇ)
In Plane
Strain
(𝛆‖
)
STO-Si 23.27° 3.899 -0.15% 0.25%
STO-Ge 23.28° 3.898 -0.18% 0.30%
STO-LAO 22.87° 3.964 1.51% -2.50%
13
20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
101
102
103
104
105
-2 ()
Inte
nsity (
cp
s)
SrTiO3 on LaAlO
3
STO (200)
LAO (024)LAO (036)
STO (300)
Experimental DataModel
F
100
101
102
103
104
Inte
nsity (
cp
s)
SrTiO3 on Si Si (400)
STO (200)
STO (300)
100
101
102
103
104
Inte
nsity (
cp
s)
SrTiO3 on Ge
Ge (400)
STO (200)
STO (300)
Is strain on SrTiO3 responsible for this
fluctuations of the dielectric function?
ω-2θ (°)
SrTiO3/Si,Ge SrTiO3/LaAlO3
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
14
Influence of excitonic absorption on the
dielectric function and Tanguy formalism
R.J. Elliott, Phys. Rev. 108, 1384 (1957).C. Tanguy, Phys. Rev. Lett. 75, 4090 (1995).
ln ( )( )
d zz
dz
( )g
Rz
E z
2 223/2
2 2
2( )
2 o o
eA P
m
P = < 𝑒 ҧ𝑝 h > dipole matrix element (overlap of electron and hole)
Free-
carrier
absorption
Sommerfeld
enhancement
(excitonic
effects)
2( ) { [ ( )] [ ( )] 2 [ (0)]}
( )a a a
A RE g E i g E i g
E i
Digamma
function
Amplitude
pre-factor
𝑔 𝑎 𝜉 = 2ln(𝜉) − 2𝜋cot(𝜋𝜉) − 2𝜓(𝜉) −1
𝜉
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
Type-II quantum well and excitonic effect
15
Type-II quantum well
Do the properties of thin oxide films depend on the film thickness and
substrate?
Amplitude pre-factor
𝐴 =ћ2𝑒2
2𝜋𝜀0𝑚02
2𝜇
ћ2
3
2𝑃 2
P = < 𝑒 ҧ𝑝 h > dipole matrix element
Either the electron is confined, or the hole, but not both.
overlap dipole matrix element (and thus the excitonic absorption)
is strongly reduced.
deconfinement
(spatially indirect)
e
SrTiO3Si
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
16
Do the properties of thin oxide films depend on the film thickness and
substrate?
Amplitude pre-factor
𝐴 =ћ2𝑒2
2𝜋𝜀0𝑚02
2𝜇
ћ2
3
2𝑃 2
P = < 𝑒 ҧ𝑝 h > dipole matrix element
Type-I quantum well
confinement
Absorption peak at 4.2 eV is larger in a 20 nm thick SrTiO3 layer on a
LaAlO3 substrate than in bulk SrTiO3.
Both the electron and the hole are confined which cause an increase
in the dipole overlap matrix element.
Type-I quantum well and excitonic effect
SrTiO3 LaAlO3
Ec
Ec
Ev
Ev
Eg = 3.2 eV Eg = 5.6 eV
e
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
17
Conclusions
Crystal structures of ALD grown ZnO on Si and SiO2 substrates are similar.
Wide band gap thin film on narrow band gap substrate (SrTiO3 on Si or Ge
and ZnO on Si; all of which are type II quantum well ) experience separation
of electron and hole (excitonic deconfinement) which leads to decrease in
the excitonic absorption.
In a type I quantum well (with a narrow band gap thin film on a wide band
gap substrate like SrTiO3 on LaAlO3 or ZnO on SiO2), both the electron and
hole are confined, resulting in enhancement of the excitonic absorption.
Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017
Thank You
18Nuwanjula Samarasingha Excitonic Effect at Interfaces in Thin Oxide Films 05/16/2017