- •Preface
- •Contents
- •1 Introduction
- •Layered Materials and Their Electronic Structure
- •General Phase Diagram of Cuprates and Main Questions
- •Superconducting State: Symmetry of the Order Parameter
- •Triplet Pairing in Strontium Ruthenate (Sr2RuO4): Main Facts and Main Questions
- •From the Crystal Structure to Electronic Properties
- •Spin Fluctuation Mechanism for Superconductivity
- •References
- •Generalized Eliashberg Equations for Cuprates and Strontium Ruthenate
- •Theory for Underdoped Cuprates
- •Extensions for the Inclusion of a d-Wave Pseudogap
- •Derivation of Important Formulae and Quantities
- •Elementary Excitations
- •Raman Scattering Intensity Including Vertex Corrections
- •Optical Conductivity
- •Comparison with Similar Approaches for Cuprates
- •The Spin Bag Mechanism
- •Other Scenarios for Cuprates: Doping a Mott Insulator
- •Local vs. Nonlocal Correlations
- •The Large-U Limit
- •Projected Trial Wave Functions and the RVB Picture
- •Current Research and Discussion
- •References
- •The Spectral Density Observed by ARPES: Explanation of the Kink Feature
- •Raman Response and its Relation to the Anisotropy and Temperature Dependence of the Scattering Rate
- •A Reinvestigation of Inelastic Neutron Scattering
- •Collective Modes in Electronic Raman Scattering?
- •Elementary Excitations and the Phase Diagram
- •Optical Conductivity and Electronic Raman Response
- •Brief Summary of the Consequences of the Pseudogap
- •References
- •4 Results for Sr2RuO4
- •Elementary Spin Excitations in the Normal State of Sr2RuO4
- •The Role of Hybridization
- •Comparison with Experiment
- •Symmetry Analysis of the Superconducting Order Parameter
- •Triplet Pairing Arising from Spin Excitations
- •Summary, Comparison with Cuprates, and Outlook
- •References
- •5 Summary, Conclusions, and Critical remarks
- •References
- •References
- •Index
Index
ARPES
data, 81, 83, 125, 129, 152, 153, 158, 164, 195, 201
experiments, 11, 12, 14, 23, 47, 59, 61, 62, 73, 75, 86, 127, 136, 151, 203, 206
measurements, 47, 75, 110, 114 results, 10, 124
spectrum, 86, 145 studies, 9, 112 techniques, 13
BCS susceptibility, 116 Bethe–Salpeter equations, 45, 58, 59,
145
charge density wave, 49, 169, 206 charge–transfer gap, 19, 23 charge–transfer insulator, 20 critical fluctuations, 102
cuto energy, 2, 78, 80, 81
eigenvalue, 40, 46, 59, 89, 188, 189, 193 energy distribution curve, 9, 126, 135
gap equation, 24–27, 40, 46–48, 51, 56, 57, 60, 102, 187–189, 195, 212
generic phase diagram, 8, 62, 99
Hubbard Hamiltonian, 19–24, 26, 34, 41, 48, 49, 61, 62, 67, 109, 125, 178, 192, 201, 207
Hubbard model, 22, 23, 25, 33, 40, 48, 50, 78, 84–87, 100, 110, 138, 143, 145, 208
hybridization, 15, 16, 18, 22, 41–44, 178, 181, 182, 184, 190, 192, 193, 195, 207
inelastic neutron scattering, 11, 16, 115–117, 119, 120, 122–124, 127, 132, 135, 136, 138, 139, 146, 151, 177–179, 181, 184–187, 192
experiments, 4, 12, 13, 15, 23, 73, 145, 181, 203, 205–207
intensity, 11
isotope e ect, 112, 114
kink, 9, 10, 12, 61, 83, 86, 126–134, 136, 194, 195, 203–207, 225, 226
kink condition, 130, 132, 203
Knight shift, 17, 47, 52, 153, 156, 157, 163, 167, 177, 178, 185–187, 192
Kramers degeneracy, 43, 44
Lindhard function, 24, 82, 179, 196 Lindhard spin susceptibility, 179
marginal–Fermi liquid, 11, 88, 135, 137, 138, 165
Meissner e ect, 8, 11, 64, 101, 104, 105, 108, 202
momentum distribution curve, 9, 126, 129
Mott–Hubbard
insulator, 19, 84, 87, 195, 208 transition, 23, 85, 196
nearly–antiferromagnetic–liquid, 11 nested–Fermi liquid, 11, 135, 137, 138,
141, 142
nesting, 16, 18, 25–28, 42, 48, 110, 113, 114, 117, 121, 153, 177–179, 182, 186, 189, 190, 192–195, 197, 202, 204, 207
optical scattering rate, 124
228 Index
optimum doping, 7, 34, 39, 50, 72, 80, 82, 202, 206
Ornstein–Zernicke behavior, 14 expression, 129 form, 78, 117
orthorhombic distortion, 5, 114
Pad´e approximation, 211
pair fluctuation propagator, 58, 59 parent compounds, 1, 4, 5, 88 preformed pairs, 11, 48, 52, 59, 80, 100,
101, 104, 152, 153, 158, 202 pump–probe spectroscopy, 100, 106
Raman
data, 118, 137, 149 intensity, 71, 137, 138, 168
response, 65, 66, 68, 69, 71, 73, 137, 138, 140, 141, 143, 149, 166, 206
scattering, 4, 11–14, 21, 39, 47, 65, 69, 87, 118, 137, 141, 144, 145, 151
spectra, 138, 139, 144, 150, 167 spectroscopy, 137
spectrum, 137, 140, 142, 145, 150, 167
vertex, 68, 143 vertices, 66, 68, 138
resonance condition, 120, 123, 146, 149, 155, 204, 205, 207
resonance peak, 13–15, 62, 73, 75, 80–83, 86, 115–123, 125, 132, 133, 136, 145, 146, 155, 157, 204–207
Ruddlesen–Popper series, 17, 18
spin–orbit coupling, 16–18, 21, 22, 41–46, 107, 178–182, 184–193, 195, 207
superfluid 3He, 16, 26, 145, 146 superfluid density, 47, 62, 63, 89, 91,
99–101, 103–105, 111, 123, 133, 201, 202
Uemura scaling, 99, 101, 102, 111 uniform spin susceptibility, 134, 156,
185, 187, 195
van Hove singularity, 111, 179, 195, 196, 207
