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Index

adiabatic ratio, 98

Andreev reﬂection

in BCS superconductors, 57

in high-T

cuprates, 219

anisotropy, 198

anomalous averages, 36, 52, 85

antiferromagnetic interaction, 239

ARPES, 226

attraction non-retarded, 120

Bardeen–Cooper–Schrieffer (BCS)

–Bose liquid crossover, 174, 205

excitation spectrum, 36

gap, 41

ground state, 39

Hamiltonian, 36

-like theories of high-T

, 167

master equation, 37, 86

theory, 33

Bednorz and M¨uller discovery, 161

bipolaron

apex, 174

band, 174

binding energy, 179

hopping, 177

in high-T

oxides, 174

in-plane, 177

inter-site, 126, 129

localized, 182

model of cuprates, 180

on-site, 122

repulsion, 125

self-trapped, 101

singlet, 180, 181

size,119

small, 119

spectrum, 179

superlight, 129

theory, 243

triplet, 180, 181

bipolaronic

gas, 136

Hamiltonian, 135

instability, 119

superconductivity, 135

Bloch

function, 76

representation, 76

theorem, 244

Bogoliubov

equations, 52, 138

transformation, 36, 53, 140

Boltzmann

equation, 4, 264

kinetics, 3

Born–Oppenheimer, 98

Bose gas, 261

boundary

conditions, 21, 58

NS phases, 18

Brillouin zone, 245

buble

approximation, 79, 80

polarization, 79

c-axis transport, 195

clusters, 135, 179

coherence

294

Index

295

factor, 45

length, 12

volume, 16

collision integral, 4

commutation rules, 75

condensate

wavefunction, 8, 70, 148

energy, 13, 16, 38, 142

conductivity

Hall, 5

infrared, 199

longitudinal, 5

optical, 167

sum rule, 6

thermal, 49

Cooper

pairing of repulsive fermions, 91

pairing unconventional, 50

pairs, 32

phenomenon, 32

crossover regime, 205

Coulomb

pseudopotential, 89

repulsion, 73

critical

current, 28

ﬁeld lower, 20, 151

ﬁeld thermodynamic, 17

ﬁeld upper, 23, 152

velocity, 29

critical temperature

of BCS superconductors, 42

of bipolaronic superconductors,

146

of Bose–Einstein condensation,

262

of high-T

cuprates, 162, 203

of polaronic superconductors,

121

crystal ﬁeld, 74

current

density, 5

diamagnetic, 40

paramagnetic, 40

permanent, 6

Debye

approximation, 83

momentum, 83

screening, 80

density of states

in cuprates, 169

per unit cell, 251

quasi-particle, 44

with scattering, 154

dHvA oscillations, 257

dielectric function

of CBG, 148

high frequency, 73

static, 81

distribution

Bose–Einstein, 254

Fermi–Dirac, 254

function, 4

of bare electrons, 38

of quasi-particles, 37

dirty superconductors, 12

Drude model, 6

dynamic matrix, 74

dynamical mean-ﬁeld theory, 102

effective mass, 248

electons in metal, 81

electron–electron correlations, 75

electron–phonon

coupling, 35

coupling constant, 35

interaction, 74

Eliashberg:

equations, 85

extension of BCS theory, 72

spectral function, 88

entropy

of BCS quasi-particles, 45

of ideal Fermi gas, 45

exchange interaction, 74, 165

excitation spectrum

of BCS superconductors, 36