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Layered SuperconductorsVolume 1$

Richard A. Klemm

Print publication date: 2011

Print ISBN-13: 9780199593316

Published to Oxford Scholarship Online: May 2012

DOI: 10.1093/acprof:oso/9780199593316.001.0001

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(p.407) Appendix E Fermi surfaces and normal-state properties

(p.407) Appendix E Fermi surfaces and normal-state properties

Source:
Layered Superconductors
Publisher:
Oxford University Press

In this Appendix we present tables of band-structure calculations and of experiments on a variety of layered superconductors.

Table E.1: Electronic structure calculations of layered superconductors

Compounds

Methods

References

KC8

SETB

Inoshita et al. (1977)

SCP

Ohno et al. (1979), Koma et al. (1986)

KKR

Di Vincenzo and Rabii (1982)

SCLCAO

Mizuno et al. (1987)

SCMBP

Tatar (1985), Loupias et al. (1990)

KHgC4

SCMBP

Holzwarth et al. (1986)

KHgC8

SCAPW

Senbetu et al. (1985)

2H-NbSe2

CF, MO

Wilson and Yoffe (1969), Huisman et al. (1971)

SETB

Bromley (1972)

APW

Mattheiss (1973)

Layered APW

Wexler and Woolley (1976)

2H-NbS2

CF, MO

Wilson and Yoffe (1969), Huisman et al. (1971)

LMTO

Kasowski (1973)

APW

Mattheiss (1973)

Layered APW

Wexler and Woolley (1976)

2H-TaS2

CF, MO

Wilson and Yoffe (1969), Huisman et al. (1971)

APW

Mattheiss (1973)

Layered APW

Wexler and Woolley (1976)

SCAPW

Guo and Liang (1987), Dijkstra et al. (1989)

4Hb-TaS2

Layered APW

Doran et al. (1978)

2H-PbTaS2

SCAPW

Guo and Liang (1987), Dijkstra et al. (1989)

2H-SnTaS2

SCAPW

Guo and Liang (1987), Dijkstra et al. (1989)

β-(ET)2I3

HOMO

Whangbo et al. (1985)

LDA-ASW

Kübler et al. (1987)

κ-(ET)2Cu(NCS)2

HOMO

Carlson et al. (1988), Jung et al. (1989)

κ-(ET)2Cu[N(CN)2]X

HOMO

Geiser et al. (1991)

Bi2Sr2CaCu2O8

FLAPW

Massida et al. (1988)

LAPW

Krakauer and Pickett (1988)

QMC

Dopf et al. (1992)

La2CuO4 *

SIC-LSD

Svane (1992)

La2−xSrxCuO4

FLAPW

Xu et al. (1987)

Tl2Ba2CaCu2O8

FLAPW

Yu et al. (1988)

Tl2Ba2Ca2Cu3O10

FLAPW

Yu et al. (1988)

YBa2Cu3O7

FLAPW

Yu et al. (1989), Massida et al. (1991)

LAPW

Pickett et al. (1990)

YBa2Cu4O8

FLAPW

Yu et al. (1991)

() X = I, Br, Cl.

() Treatment of one doped CuO2 layer only.

(*) Antiferromagnetic insulator with gap of 1.04 eV, Cu moment of 0.47μB.

(p.408)

Table E.2: Experimental evidence for fermi surfaces in layered Superconductors

Compounds

Methods

References

KC8

XPS

Preil and Fischer (1984), Hague et al. (1988)

LEELS

Koma et al. (1986)

ARPES

Takahashi et al. (1986)

XANEPS

Mizuno et al. (1987)

SCMBP

Loupias et al. (1990)

dHvA

Higuchi et al. (1980)

KHgC4

SdH

Timp et al. (1984)

KHgC8

SdH

Timp et al. (1984)

2H-NbSe2

UPS

McMenamin and Spicer (1972)

XPS

Wertheim et al. (1973)

UPS

Shepherd and Williams (1974)

dHvA

Graebner and Robbins (1976)

2H-TaS2

UPS

Shepherd and Williams (1974)

dHvA, SdH

Hillenius and Coleman (1978)

4H(b)-TaS2

UPS

Shepherd and Williams (1974)

SdH, Hall*

Fleming and Coleman (1977)

2H-SnTaS2

ARPES

Dijkstra et al. (1989)

β-(ET)2I3

SdH

Toyota et al. (1988)

β-(ET)2IBr2

SdH

Kartsovnik et al. (1988), Toyota et al. (1988)

LDA-ASW

Kübler et al. (1987)

κ-(ET)2Cu(NCS)2

SdH

Oshima et al. (1988), Toyota et al. (1988)

dHvA

Wosnitza et al. (1991)

Bi2Sr2CaCu2O8+δ

ARPES

Olson et al. (1989,1990), Manzke et al. (1990)

ARPES

Wells et al. (1990), Hwu et al. (1991)

ARPES

Arnold et al. (1991), Dessau et al. (1992)

ARPES

Mante et al. (1990), Watanabe et al. (1991)

2D ACAR

Chan et al. (1991)

Nd2−xCexCuO4−y

ARPES

Sakisaka et al. (1990), Allen et al. (1989)

EuBa2Cu3O7−δ

ARPES

List et al. (1988)

YBa2Cu3O7−δ

ARPES

Campuzano et al. (1990,91a, b), Liu et al. (1992)

ARPES

Tobin et al. (1992)

2D-ACAR

Smedskjaer et al. (1988,91,92a, b)

2D-ACAR

Haghighi et al. (1991)

dHvA

Kido et al. (1991), Fowler et al. (1992)

(*) Oscillatory Hall resistance.

(p.409)

Table E.3: Normal-state resistivities of layered superconductors

Compounds

ρ (300 K) 10−6Ωm

ρ⊥(300 K) 10−2Ω m

References

KC8, RbC8

0.105

0.0004

Guérard et al. (1977), Fischer et al. (1983)

0.10,0.14

0.00083

Murray and Ubbelohde (1969), Phan et al. (1982)

KHgC4

0.20

0.0021

El Makrini et al. (1980), Fischer et al. (1983)

2H-NbSe2

1.50

0.0050

Lee et al. (1969), Edwards and Frindt (1971)

1.1(1)

Naito and Tanaka (1982)

2H-NbS2

0.5 to

0.022

Onabe et al. (1978), Pfalzgraf and Spreckels (1987)

1.71

0.037

Naito and Tanaka (1982), Hamaue and Aoki (1986)

2H(b)-TaS2

1.21(1) to

0.002 to

Thompson et al. (1972), Naito and Tanaka (1982)

1.65

0.033

Hillenius and Coleman (1978), Tidman et al. (1974)

4H(c)-TaSe0.4S1.6

15

Benda et al. (1974)

(SnS)1.17NbS2

0.8

1.1

Wiegers et al. (1988, 1992)

(BiS)1.08TaS2

1.2

4

Wulff et al. (1990b)

(PbS)1.13TaS2

1.6

3

Wulff et al. (1990a)

AxZrSe2 **

0.84

4.05

Ōnuki et al. (1983)

NbS2(PY)1/2

5.12

1.03

Hamaue and Aoki (1986)

NbS2(MPY)1/3

4.67

1.03

Hamaue and Aoki (1986)

NbS2(EDA)1/3

2.82

0.443

Hamaue and Aoki (1986)

NbSe2(EDA)1/4

8.6

0.12

Meyer et al. (1975)

TaS2(EDA)1/4 ×

6.4

0.3

Meyer et al. (1975)

TaS2(PY)1/2

3.0

20

Thompson et al. (1972)

TaSe0.4S1.6(AN)3/4 ×

50

15

Benda et al. (1974)

TaSe0.4S1.6(PY)1/2 ×

9.7

1

Benda et al. (1974)

βL-(ET)2I3

330,200*

7.6

Yagubskiĭ et al. (1984a), Buravov et al. (1986)

βH-(ET)2I3

500

10

Murata et al. (1985c), Buravov et al. (1986)

κ-(ET)2I3

66.5,232

24.6

Kajita et al. (1987)

κ-(ET)2X

500,250

40

Oshima et al. (1988)

κ-(ET)2X

208

Williams et al. (1992)

θ-(ET)2I3

250

24.6

Kajita et al. (1987)

La2−xSrxCuO4 Δ

6.5

0.085

Kimura et al. (1992)

Bi2Sr2CaCu2O8+δ

1.8,1.0*

10

Martin et al. (1988)

6.52.4£

1.2,4£

Briceño et al. (1991), Xiang et al. (1992)

Bi2Sr2CuO6+δ

2.8

5.5

Martin et al. (1990)

IBi2Sr2CaCu2Ox

2.9£

2.7£

Xiang et al. (1992)

Nd1.85Ce0.15CuO4

51,5.9

1.4

Crusellas et al. (1991), Hidaka and Suzuki (1989)

Tl2Ba2CuO6+δ

4.2 to 3££

0.17 to 0.3

Manako et al. (1991)

YBa2Cu3O7−δ

1.46,0.68*

0.0048

Friedmann et al. (1990)

YBa2Cu4O8

4.2,1.6*

Bucher et al. (1990)

(**) A: alkali, 0.23 ≤ x ≤1.0.

(×) 4H compounds.

(*) ρ a, ρ b.

() X = Cu(NCS)2.

() ρ b, ρc.

() X = Cu[N(CN)2]Br.

(Δ) x = 0.144 (Tc = 38.8 K). Data for 0.06 ≤x≤ 0.30.

(£) 250 K.

(££) 0.01 ≤ δ ≤ 0.10.

() 275 K.

(p.410)

Table E.4: Hall and Seebeck coefficients of layered superconductors

Compounds

R H(300 K)

10−9 m3/C

S(300 K)

μV/K

References

KC8

+1.0, −1.2

Suematsu et al. (1980)

≤ 0.8, −0.8

Guérard et al. (1982)

RbC8

≤0.6, −1.1

Guérard et al. (1977)

+4.8

Guérard et al. (1977)

2H-NbSe2

+4.6

−12

Lee et al. (1969), Brixner (1962)

+3.9(3)

Naito and Tanaka (1982)

+0.6

−,−/ +

van Maaren and Harland (1969)

2H-NbS2

+3.9(3)

Naito and Tanaka (1982)

+1.7

−,−

van Maaren and Harland (1969)

2H-TaS2

+2.5

−7.0(5)

Thompson et al. (1972)

+2.2(3)

Naito and Tanaka (1982b)

2H-SnTaS2

+2.0

+2.3

Dijkstra et al. (1989)

(SnS)1.17NbS2

+5

−19

Wiegers et al. (1988, 92)

(BiS)1.08TaS2

+5.6

−18

Wulff et al. (1990b)

(PbS)1.13TaS2

+10

−18

Wulff et al. (1990a)

AxZrSe2 **

−33.1

−10.3

Ōnuki et al. (1983)

TaS2(PY)1/2

+4.1

−7.0(5)

Thompson et al. (1972)

βL-(ET)2I3

+50

+14, +24×

Murata et al. (1989), Mortensen et al. (1985)

+53

−8,+2 ×

Korin-Hamzić et al. (1990)

κ-(ET)2X

−9,+20

Urayama et al. (1988)

+75,+360£

−2.5

Murata et al. (1990), Gärtner et al. (1988)

Θ-(ET)2I3

250

24.6

Kajita et al. (1987)

La1.86Sr0.14CuO4 Δ

−3, −3, +23

Kitazawa et al. (1989)

Bi2Sr2CaCu2O8+δ

1+14

Forrò and Cooper (1990)

−3,+2.5*

Crommie et al. (1989)

Bi2Sr2CuO6+δ

Nd2−xCexCuO4

−4,+0.7,+7

Kubo and Suzuki (1991)

−1.4

López-Morales et al. (1989)

≈ −5,−2

−1.0, +0.6

Hagen et al. (1991), Xu et al. (1992)

Tl2Ba2CaCu2O8

+14, +30(5)*

Lin et al. (1990)

Tl2Ba2Cu2O6+δ

+16 to +9££

Kubo et al. (1991)

Yba2Cu3O7−δ

+5.3

+0.1, -3.5×

Penney et al. (1988), Lowe et al. (1991)

−2.5,+0.1×

Cohn et al. (1992)

−8.2(8)§

−2,+20*

Tozer et al. (1987), Yu et al. (1988)

Yba2Cu4O8

+4.6

Schoenes et al. (1990)

Y123/Pr123××

9.8(2) to 15(3)

Affronte et al. (1991)

() 77 K.

() 1.5 K.

(**) A: alkali, 0.23≤ x ≤1.0.

() 250 K. Howson et al. observed a sharp peak at in S at Tc for YBa2Cu3O7−δ.

(×) Sa, S b′.

() X = Cu(NCS)2.

() S b, Sc (intralayer).

(£) H∥a* and Ib.

(Δ) H∥a and Ic,H∥a and Ib,Hc and Ib, respectively.

(*) S ab, Sc.

() Thin films with x = 0.16, 0.17, 0.195.

() x = 0.15 single crystal.

(££) YBa2Cu3O7/PrBa2Cu3O7 superlattices.

() 200 K.

(§) Hc

(×) × 0.01≤ δ ≤0.10.

(p.411) (p.412)

Table E.5: Specific heats of non-cuprate layered superconductors

Compounds

Ref.

T c

K

γ

mJ/(mole K2)

β

mJ/(mole K4)

ΘD

K

ΔC/(γT c)

KC8

(i),(r)

0.75(1),0.94(1)

0.037(1)

374,393.5

(j)

0.697(6)

0.150(1)

234.8(7)

RbC8

(i),(r)

1.15(1),0.82(1)

0.023(1)

439,245.4

RbHgC8

(i)

1.46

0.15(2)

0.15(2)

235

2.3(1)

2H-TaS2

(a, b),(t)

0.8,0.60(1)

8.5(1),8.6(1)

0.37,0.31(3)

174,265(9)

1.9,1.2(2)

4H (b)-TaS2

(c),(d)

2.5

2.9(2)

0.38

172

2H-NbS2

(g),(s)

5.4,6.10

10.7,17.64

0.31,0.337

265,259

1.40

2H-NbSe2

(b),(e)

7.1,7.11

16.5(5),18.5

0.53,0.586

222,215

2.14,2.14

(f),(g)

7.23,6.9

16,20.5

0.686,0.62

204,210

,(h)

7.18

17.3,16.9

0.381,0.435

248,238

1.97,2.10

,(h)

7.25,7.23

18.0,17.1

0.506,0.477

226,230

1.93,1.98

114H (a)-NbSe2

(b)

6.3

16.3(3)

0.53

222

1.35

4H (b)-Ta0.8Nb0.2Se2

(u)

2.01

6.58

0.566

218

0.76

4H (c)-TaSe0.4S1.6

(b)

3.85

11.2(3)

0.63

210

1.9

2H (a)-TaSe0.4S1.6

(b)

2.35

8.7(7)

0.93(3)

184

2H-SnTaS2

(q)

2.8

7.0

0.53

154

0.7

(SnS)1.17NbS2

(n),(o)

2.75,2.76

7.4,9.0

1.40

198

1.3

(BiS)1.08TaS2

(o)

0.76

10.1

1.78

0.6

(PbS)1.14TaS2

(n),(o)

2.66,2.72

11.7,6.9

1.36

1.2

NbS2(PY)1/2

(s)

4.10

9.48

1.12

173

0.80

NbS2(MPY)1/3

(s)

3.01

9.07

1.17

171

1.05

NbS2(EDA)1/3

(s)

2.45

8.71

0.468

232

0.79

TaS2(PY)1/2 *

(a),(b)

3.30

9.1(2)

2.32

136

0.96

TaS2(DMP)1/5

(a)

2.8

9.5(4)

1.65

152

0.65(7)

TaS2(COL)1/6

(b)

2.80

9.5(4)

1.65

152

0.65

TaS2(EDA)1/4 ×

(d)

3.2

8.1(2)

0.89

187

0.38

TaSe0.4S1.6(PY)1/2 ×

(b)

2.30

9.3(2)

2.39

135

1.38

β-(ET)2I3

(m),(v)

24

24(3)

197(5)

β-(ET)2AuI2

(m),(p)

4.88(5)

≈20

1.43

κ-(ET)2 X

(k),(l)

9.1,9.4

25(3),36

≈ 12

215(10)

2.8,1.43

κ-(ET)2 X

(k)

11.5

22(3)

210(15)

2.0(5)

() H , H values.

(*) Mixed 11.85Å and 12.01Å phases.

(×) 4H compounds.

() X = Cu(NCS)2.

() Tc from CP, χ.

() Obtained from the T 〈 3K data.

() X = Cu[N(CN)2]Br.

((a)) DiSalvo et al. (1971).

((b)) Schwall et al. (1976).

((c)) Tc from Wattamaniuk et al. (1975).

((d)) Meyer et al. (1975).

((e)) Garoche et al. (1976).

((f)) Bevolo and Shanks (1974).

((g)) van Maaren and Harland (1969).

((h)) Kobayashi et al. (1977).

((i)) Alexander et al. (1980, 1).

((j)) Mizutani et al. (1978).

((k)) Andraka et al. (1989,91).

((l)) Graebner et al. (1990).

((m)) Stewart et al. (1986a, b).

((n)) van Maaren (1972).

((o)) Reefman et al. (1990).

((p)) Andres et al. (1986).

((q)) Dijkstra et al. (1989).

((r)) Enoki et al. (1985).

((s)) Hamaue and Aoki (1986).

((t)) Garoche et al. (1978).

((u)) Ikebe et al. (1981).

((v)) Fortune et al. (1992).

(p.413) (p.414)

Table E.6: Specific heats of cuprate superconductors

Compounds

Ref.

Tc, cal

γ*

ΘD *

f

ΔC/(γT c)

K

mJ/(mole K2)

K

mJ/(mole K2)

Y123

(a)

90

4.3(5)

437(15)

0.65

67

Y124

(a)

81.9

4.9(2)

350(10)

0.55

≈ 16

(*) Low-temperature values.

() Meissner fraction at low H, T.

((a)) Junod et al. (1990).

Table E.7: Normal-state optical T, R data of layered superconductors

Compounds

ϵ

ℏωp(eV)

ωpτ

References

KC8

3.92

4.65

14.5*

Eklund et al. (1986)

4.65

141**

Fischer et al. (1985)

KHgC4

6.3

5.3

6*

Heinz and Eklund (1983)

5.0

152**

Fischer et al. (1985)

2H-NbSe2

0.99

Beal and Liang (1973)

××

19.5

4.06

16**

Bachmann et al. (1971)

Benda et al. (1974)

3R-NbS2

1.27

Beal and Liang (1973)

2H-TaS2

1.38

Beal and Liang (1973)

4H(c)-TaSe0.4S1.6

11.4

3.6

15**

Benda et al. (1974)

3R-NbS2(PY)1/2

1.08

Beal and Liang (1973)

2H-NbSe2(PY)1/2

0.90

Beal and Liang (1973)

2H-TaS2(PY)1/2

1.14

Beal and Liang (1973)

TaSe0.4S1.6(PY)1/2

7.0

2.5

14**

Benda et al. (1974)

TaSe0.4S1.6(AN)3/4

5.0

1.6

6.2**

Benda et al. (1974)

βL-(ET)2I3

3.5

0.48

24**

Tajima et al. (1986)

Θ-(ET)2I3

3.42

1.05

25* Δ

Tamura et al. (1986)

κ-(ET)2X

3.2

0.55

16.7* ×

Ugawa et al. (1988)

La2−xSrxCuO4−y

23

0.42

1.68* ‡‡

Sherwin et al. (1988)

Uchida et al. (1991)

Bi2Sr2CaCu2O8

1.44

170*

Reedyk et al. (1988)

4.0

1.18*

Forrò et al. (1990)

Nd2−xCexCuO4−y

2.2

0.43

0.66** §

Wang et al. (1990).

§§

6.2

0.43

4.1**

Hirochi et al. (1989)

Yba2Cu3O7−δ

0.97

28*

Kamarás et al. (1990)

Orenstein et al. (1990)

Schlesinger et al. (1990)

Yba2Cu4O8

1.0* £

1.67,2.80

2.74,7.78

Schoenes et al. (1990)

3.38,0.96* £

1.145,1.76

4.8,7.0

Bucher et al. (1990)

(*) From fits of eqn. (4.16).

(**) From drude fits (eqn. (4.16)).

() From the start of the ‘free-carrier’ rise in the absorption spectrum (not from Drude fits).

(××) Bachmann et al. data corrected for a calibration error by Benda et al.

() 4K.

() 4Hc compound.

() 30K.

(Δ) 16K Ea.

() X = Cu(NCS)2.

(×) 25K Eb.

() ‡ Polycrystalline sample with x = 0.15 above 50K.

(§) Polycrystalline sample with x = 0.15 at 30 K.

(§) § Thin film with x = 0.16.

(£) Ea, b.

(p.415)