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Towards Room Temperature Tc:
Lessons from the “115” Materials
John Sarrao
LANL
Outline
• An advertisement:
“Basic Research Needs for Superconductivity”
• Towards Room Temperature Tc
CeIn3 CeCoIn5 PuCoGa5 ?? (f/d)a(M,M‟)b(X,X‟)c
(200 mK) (2.3 K) (18.5 K) (~200 K)
• Examples
CeM2X2
“115” NpPd5Al2 (Aoki et al.)
• Towards material as an implicit parameter
Structures that “like” to superconduct
Role of electronic anisotropy, spin fluctuation scale
Basic Energy Sciences BES Report on Basic Research Needs for Superconductivity
http://www.sc.doe.gov/bes/reports/abstracts.html#SC
BES Workshop Report
Electricity is our most effective energy carrier • Clean, versatile, switchable power anywhere
Power grid cannot meet 21st century challenges• Capacity, reliability, quality, efficiency
Superconducting technology is poised to meet the challenge
Present generation materials enable grid connected cables and demonstrate control technology
Basic and applied research needed to lower cost and raise performance
High risk-high payoff discovery research for next-generation superconducting materials
• Higher temperature and current capability• Understand fundamental phenomena of
transition temperature and current flow
http://www.sc.doe.gov/bes/reports/abstracts.html#SC
Basic Energy Sciences BES Report on Basic Research Needs for Superconductivity
http://www.sc.doe.gov/bes/reports/abstracts.html#SC
Superconductivity Research Continuum
Technology Maturation& Deployment
Applied Research
Cost reduction
Scale-up research
Prototyping
Manufacturing R&D
Deployment support
Discovery Research Use-inspired Basic Research
Office of Science
BES
Technology Offices
EDER
Technology Milestones:
2G coated conductor
carrying 300 A x 100 m
(2006)
In-field performance for
50 K operating
temperature
electric power equipment
with ½ the energy losses
and ½ the size
wire with 100x power
capacity of same size
copper wires at
$10/kiloamp-meter.
Assembly and utilization
R&D issues
Materials compatibility &
joining issues
Room-temperature
superconductor (Grand
Challenge)
Superconductors by design
(Grand Challenge)
Atomic scale control of
materials structure and
properties
Tuning competing interactions
for new phenomena
Unravel interaction functions
generating high temperature
superconductivity
Predictive understanding of
strongly correlated
superconductivity
Microscopic theory of vortex
matter dynamics
Nano-meso-scale
superconductivity
100K isotropic SC (Grand
Challenge)
Achieve theoretical limits of
critical current (Grand
Challenge)
3-d quantitative
determination of defects
and interfaces
Intrinsic and intentional
inhomogeneity
“Pinscape engineering” and
modeling of effective
pinning centers
Next Generation SC wires
Basic Energy Sciences BES Report on Basic Research Needs for Superconductivity
http://www.sc.doe.gov/bes/reports/abstracts.html#SC
Next Generation Materials
~ 50 copper oxide superconductors
Highest Tc = 164 K under pressure
(1/2 Room Temp)
Only class of high Tc superconductors ?
High Tc superconductors > 4 elements
55 superconducting elements
-> 554 ~ 10 million quaternaries
Search strategies for new superconductors• Quaternary and higher compounds
• Layered structures
• Highly correlated normal states
• Competing high temperature ordered phases
Liquid
Helium
Liquid
Hydrogen
Liquid
Neon
Surface
of Pluto
Liquid
Nitrogen
Night on
the moon
Ca @ 161 GPa
Challenge
Discover next generation complex superconductors
Target Properties Higher Tc &
JcisotropyDuctility
…
Basic Energy Sciences BES Report on Basic Research Needs for Superconductivity
http://www.sc.doe.gov/bes/reports/abstracts.html#SC
Superconductors by Design
Discovery by serendipity: Hg (1911), copper oxides (1986), MgB2 (2001), NaCoO2:H2O (2003)
Discovery by empirical guidelines: competing phases, layered structures, light elements, . . . B-doped diamond (2004), CaC6 (2005)
+ + =
Crystal StructureComposition
Electronic StructureDensity functional theory
Pairing Mechanismphonons (classical BCS)
spin fluctuationsvalence fluctuations
Tem
pera
ture
SC
Composition
Computationally designed superconductors
• Electronic structure calculation by density functional theory
• Large scale phonon calculations in nonlinear, anharmonic limit
• Formulate “very strong” electron-phonon coupling (beyond Eliashberg)
• Determine quantitative pairing mechanisms for high temperature SC
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
J. Mater. Chem., 2006
Computed metal hydridesuperconductor
Superconductivity
Challenge: Create a paradigm shift to superconductors by design
Known Heavy Fermion Superconductors
1980 1985 1990 1995 2000 20050.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
Tc (K
)
year
CeCu2Si
2
UBe13
/LANL
UPt3/LANL
CeRhIn5 &
CeCoIn5/LANL
URu2Si
2
UPd2Al
3
UNi2Al
3
CeIrIn5/LANL
Tc/5
PuCoGa5/LANL
PuRhGa5
CeIn3
CePd2Si2
Growing number of HF SCs in
recent years:
The originals:
UBe13, UPt3, URu2Si2,
UNi2Al3, UPd2Al3
Nearly ferromagnetic:
UGe2, URhGe
Nearly antiferromagnetic:
CeCu2Si2 and related
CeRhIn5 and related
PuCoGa5, PuRhGa5, NpPd5Al2
PrOs4Sb12, CePt3Si, …
CeM2X2
(blue) Ce
(yellow) M=Cu, Pd, Rh
(gray) X=Si, Ge
Steglich
(1979)
CeM2X2 – Pressure Tuning
Holmes, PRB (04)
CePd2Si2
CeIn3
Mathur, Nature (1998)
CeMIn5
M = Co, Rh, Ir (isovalent)
A layered version of CeIn3?
CeRhIn5: 3.8 K AFM
CeCoIn5: 2.3 K SC
CeIrIn5: 0.4/1.0 K SC
12
10
8
6
4
2
0
T(K
)
100806040200
P (kbar)
, CeIn3 (Mathur et al.)
, CeRhIn5 (Hegger et al.)
CeRhIn5 (Muramatsu et al.)
CeRhIn5=CeIn3 + 13 kbar
CeCoIn5 (Nicklas, Sidorov et al.)
CeCoIn5=CeRhIn5+15 kbar
TN
Tc
CeMIn5 – Pressure Tuning
0 1 2 3 4 5 60.0
0.2
0.4
0.6
0.8
1.0
Tc/T
cm
ax
P (GPa)
CeRhIn5
CeIrIn5
CeCoIn5:P+1.6 GPa
1.610 1.615 1.620 1.625 1.630 1.635 1.6400.0
0.5
1.0
1.5
2.0
2.5
CeRhIn5 (~ 16 kbar)
CeCo0.5
Rh0.5
In5
CeCo0.5
Ir0.5
In5
CeRh0.5
Ir0.5
In5
CeRh0.25
Ir0.75
In5
CeIrIn5
CeCoIn5
Tc
c/a0
1
2
3
4
?SC
SCSC
X
0.50.50.5 IrRh CoCo
AFM
T* (
K)
CeCoIn5 CeRhIn5 CeIrIn5 CeCoIn5
CeMIn5 – Chemical Substitution
Pagliuso et al., Phys. Rev. B 64 (2001) 100503(R)
PuMGa5
0 5 10 15 20 250
10
20
30
40NFL
SC
n = 1.35
P (GPa)
PuCoGa5
0 1 2 3 4 51
2
3NFL
FLT
FL
Tpg
CeCoIn5
SC
n = 1.5
n 1
n = 2
0
5
10
15
20
25
NFL
SC
n = 1.35
PuRhGa5
T (
K)
PuCoGa5: 18.5 K SC
PuRhGa5: 9 K SC
1.610 1.615 1.620 1.625 1.630 1.635 1.6400.0
0.5
1.0
1.5
2.0
2.51.594 1.596 1.598 1.600 1.602 1.604
8
10
12
14
16
18
20
CeRhIn5 (~ 16 kbar)
CeCo0.5
Rh0.5
In5
CeCo0.5
Ir0.5
In5
CeRh0.5
Ir0.5
In5
CeRh0.25
Ir0.75
In5
CeIrIn5
CeCoIn5
Tc
c/a
PuCo.5Rh
.5Ga
5
c/a
Tc
PuCoGa5
PuRhGa5
Tc and c/a: anisotropy tuning
E.D. Bauer et al., PRL 93 (2004) 147005
Electronic Anisotropy: Quasi-2D Fermi Surface
R. Settai et al., JPCM 13, L627 (2001)
T. Maehira et al., PRL 90 (2003) 207007;
I. Opahle and P. M. Oppeneer, PRL 90 (2003) 157001
Experimentally, bulk properties (Hc2, r, c) have anisotropies of 3 - 5
Structural distortion: Crystal-field tuning
UMGa5: Kaneko, PRB 68 (2003)
Similar trends in NpMGa5
CeMIn5: Tc=1.6 + 56(2zc-a)/a
PuMGa5: Tc=28.4 + 790(2zc-a)a
(2zc-a)/a TN
UGa3 =0 65 K
UNiGa5 -1.5% 86
UPdGa5 -5.1% 30
UPtGa5 -7.0% 26
Ce3+
4f1
U3+
5f3
Pu3+
5f5
Np3+
5f4
-0.04 -0.03 -0.02 -0.01 0.00 0.01 0.020.0
0.5
1.0
1.5
2.0
2.5
0
4
8
12
16
20
PuCo0.1
Rh0.9
Ga5 CeCo
0.5Rh
0.5In
5
CeRh0.5
Ir0.5
In5
CeRh0.25
Ir0.75
In5
CeIrIn5
CeCoIn5
Tc (
K)
(2zc-a)/a
PuCo0.5
Rh0.5
Ga5
PuMGa5
CeMIn5
Tc (K
)
PuCoGa5
PuRhGa5
PuCoGa5: Tuning spin fluctuations?
(Tsf estimated from C/T for f-electron materials
and from T-linear resistivity of cuprates--Moriya and Ueda)
N. J. Curro et al., Nature 434, 622 (2005). 10 100 1000 100000.1
1
10
100
1000
CeCoIn5
CeRhIn5
CeCu2Si
2
UNi2Al
3
URu2Si
2
UPd2Al
3
UPt3
UBe13
U6Fe
UGe2
URhGe
HgBa2Ca
2Cu
3O
8+
Tl2Ba
2Ca
2Cu
3O
10
YBa2Cu
3O
7
La1.85
Sr0.15
CuO4
PuRhGa5
PuCoGa5
Tc (K
)
Tsf (K)
after T. Moriya and K. Ueda, Rep. Prog. Phys. 66, 1299 (2003)
Model Calculations – Combining Effects
Monthoux & Lonzarich PRB (02)
Model:
at = 0, quasi-2d electronic structure
= 1, cubic lattice
at = 0, quasi-2d magnetic correlations
= 1, 3d magnetic correlations
Similar contours for varied coupling constants
Tc(nearly AFM) ~ 10x Tc(nearly FM)
Experimentally,
Tc/Tsf ~ 0.05 – 0.1, CeCoIn5 or PuCoGa5
Increasing Anisotropy -Alternate stacking of 115
Ce2MIn8
- intermediate between CeIn3 & CeMIn5
-Ce-In no longer constrained to be co-planar
- sample quality less good due to stacking integrowths
Ce2RhIn8: 2.8 K AFM 2K SC
Ce2IrIn8: heavy-fermion Pauli paramagnet
Ce2CoIn8: ~ 0.8 K SC
Consider bi-layers of “MIn2” and CeIn3
-“CeM2In7” ???
And same for Pu analogs
-Pu2RhGa8 orders antiferomagnetically
Tuning spin fluctuations (too far) - UMGa5
250
200
150
100
50
0
r (
cm
)
300250200150100500
T(K)
60
50
40
30
20
10
0
r(
cm
)
CeCoIn5 (right axis)
PuCoGa5 (left)
UCoGa5 (left)
0.0 0.2 0.4 0.6 0.8 1.0 1.20.0
0.2
0.4
0.6
0.8
1.0
1.2
r(T
)r(T
ma
x)
T/Tmax
CeCoIn5
AMGa5
(A=U, Pu; M=Co, Rh)
0 200 400 600 8000.00
0.02
0.04
-1 (
mol-K
/mJ)
Tmax
(K)
Tsf a T
max a 1
Yb-115 and Np-115
Yb3+ (4f13): hole analog of Ce3+ (4f1)
YbMIn5 (M=Co, Rh, Ir) – good metals; divalent Yb
Pressure-induced magnetism/superconductivity??
NpMGa5
(U, Np, Pu, Am)
Studied extensively by Onuki group
Localized magnets, no superconductivity
NpPd5Al2 (Aoki et al., JPSJ 76 (2007) 063701)
Apparent “parent compound” NpPd3??
Nellis (1974)
Other transuranic compounds
Np, Pu intermetallics
• partially localized 5f electrons
• relatively unexplored phase space
Extensions to d electron metals?
Summary
Certain crystal structures „like‟ to superconduct
Can we calculate what‟s special about ThCr2Si2 and HoCoGa5
structure types?
Plausible relation among CeIn3 CeCoIn5 PuCoGa5
Optimistically (Naively?), perhaps there‟s another factor of
10 to be found through a directed random walk
Questions