Preface | p. xi |
1950 to Y2K | p. xv |
More is Different--One More Time | p. 1 |
Localization Yesterday, Today, Tomorrow | p. 9 |
Absence of Diffusion in Random Lattices | p. 9 |
Experimental Background | p. 9 |
The Localization Idea | p. 10 |
Related Developments | p. 11 |
Consequences of Localization | p. 12 |
Localization as a General Feature of Disorder | p. 13 |
Scaling and Weak Localization | p. 14 |
Thouless Conductance | p. 14 |
Scaling Theory | p. 15 |
Weak Localization | p. 16 |
Theoretical Developments | p. 18 |
Mesoscopic Systems and Phenomena | p. 21 |
Other Excitations | p. 21 |
Summary | p. 22 |
Tomorrow | p. 23 |
Glass and Spin Glass | p. 23 |
Superconductor-Insulator Transition | p. 23 |
Metal-Insulator Transition in 2D | p. 24 |
Decoherence in Disordered Conductors | p. 25 |
Localization in Manganites | p. 27 |
Metal-Insulator Transitions in Disordered Systems | p. 33 |
Critical Exponent Puzzle in 3D | p. 33 |
Novel Phenomena in Dilute 2D Systems: New Physics or Old? | p. 42 |
The Nature of Superfluid [superscript 3]He in Silica Aerogel | p. 47 |
Introduction | p. 47 |
Results of the First Study | p. 51 |
Results of the Second Study | p. 54 |
Comparison with Previous Results | p. 59 |
Conclusions | p. 61 |
RVB Description of High-T[subscript c] Superconductors | p. 63 |
Introduction | p. 63 |
Review of RVB Theory | p. 64 |
Projected Wavefunctions and Staggered Current Fluctuations | p. 68 |
Conclusion | p. 73 |
Angle-Resolved Photoemission Results in Cuprates | p. 75 |
Introduction | p. 75 |
Nature of the Electronic States | p. 76 |
Excitations at the Fermi Surface | p. 77 |
Quasiparticles in the Superconducting State | p. 80 |
New Energy Scales in the Superconducting State | p. 82 |
Spin Excitations in Copper Oxide Superconductors | p. 91 |
Introduction | p. 91 |
Neutron Spectroscopy Results in Cuprates | p. 92 |
Stripe Formation in La[subscript 2 - x]Sr[subscript x]CuO[subscript 4] | p. 94 |
Magnetic Resonance Peak in Cuprates | p. 95 |
Origin of the Resonance Peak | p. 97 |
Conclusion | p. 100 |
Anderson's Theory of High-T[subscript c] Superconductivity | p. 103 |
Introduction | p. 103 |
The RVB Theory of 1987 | p. 104 |
Three Apects of Anderson's 1987 Mechanism | p. 110 |
Some Comments on Anderson's Solution | p. 112 |
Appendix | p. 113 |
Quantum Confinement and Cuprate Criticality | p. 121 |
Introduction | p. 121 |
Experiments | p. 122 |
Novel Excitations | p. 122 |
The Z[subscript 2] Gauge Theory | p. 123 |
Phase Diagram | p. 123 |
Chargon Condensation and Superconductivity | p. 127 |
Quantum Confinement Critical Point | p. 128 |
Experimental Implications | p. 130 |
Comparison with Anderson's RVB State | p. 132 |
Spin-Triplet Superconductivity of Sr[subscript 2]RuO[subscript 4] | p. 135 |
Introduction | p. 135 |
Quasi-2D Fermi Liquid Properties | p. 137 |
Spin-Triplet Superconductivity | p. 138 |
Anisotropy of the Superconducting Gap | p. 141 |
H - T Phase Diagram | p. 143 |
Concluding Remarks | p. 146 |
Triplet Quasi-One-Dimensional Superconductors | p. 151 |
Introduction | p. 151 |
Early Results on P-Wave Pairing | p. 153 |
Dimensionality Reduction in a Magnetic Field | p. 154 |
Interlayer Decoupling | p. 156 |
Recent Experiments on Spin Pairing | p. 161 |
Conclusions | p. 169 |
Magnetic Moments in Metals | p. 173 |
Introduction | p. 173 |
Heavy (Slow) Electrons | p. 177 |
Coexistence of magnetic order and heavy electrons | p. 180 |
Non-Fermi-liquid features of heavy-electron metals | p. 182 |
Superconductivity of heavy electron metals | p. 183 |
Conclusions | p. 186 |
Superconductivity and Magnetism in Heavy-Fermions | p. 191 |
Introduction | p. 192 |
Magnetic-exciton mediated superconductivity | p. 194 |
Antiferromagnetism and Superconductivity | p. 197 |
Heavy-Fermion Metals near a Magnetic Instability | p. 203 |
Outlook | p. 206 |
The Mott Transition | p. 211 |
Introduction | p. 211 |
Model Hamiltonian | p. 212 |
Mean Field Theory | p. 214 |
Spectral Functions of Strongly Correlated States | p. 219 |
Anomalous Resistivity and Spectral Weight | p. 222 |
The Mott Transition as a Bifurcation | p. 226 |
Extensions of Dynamical Mean Field Methods | p. 230 |
Conclusions | p. 232 |
First Steps in Glass Theory | p. 237 |
Introduction | p. 237 |
Mathematics | p. 237 |
Experiments | p. 238 |
A mean-field spin-glass analogy | p. 240 |
A lesson from mean-field: many valleys | p. 243 |
Beyond the analogy: first-principles computation | p. 246 |
Conclusion | p. 251 |
Geometrical Frustration and Marginal Constraint | p. 255 |
Introduction | p. 255 |
Geometrical Frustration | p. 256 |
Ordinary water ice | p. 259 |
Spin ice in Pyrochlores | p. 260 |
Kagome-like systems | p. 262 |
Geometrical frustration in non-magnetic systems | p. 264 |
Olfaction and color vision: More is simpler | p. 269 |
Color vision | p. 270 |
Olfaction | p. 271 |
Comparative problems of vision and olfaction | p. 272 |
The logarithmic distribution of odorant binding constants | p. 272 |
Odorant modeling | p. 273 |
Olfactory tasks in a least-squared error algorithm | p. 275 |
An approach through large-n | p. 276 |
On the large number n of cell types: More is simpler | p. 280 |
Separation of two unknown odors | p. 281 |
More is simpler | p. 284 |
Screening and giant charge inversion in electrolytes | p. 285 |
Introduction | p. 285 |
Screening of charged surface by spherical Z-ions | p. 292 |
Long charged rods as Z-ions | p. 297 |
Forest Fires and Luminous Matter in the Universe | p. 301 |
Introduction | p. 302 |
The Forest Fire Model | p. 303 |
Scale-Dependent Dimension of Luminous Matter | p. 306 |
Forest fires and Measles | p. 310 |
Complexity in Cosmology | p. 313 |
Introduction | p. 313 |
Fractal Structures and Self Organization | p. 314 |
Reconstructing the Puzzle | p. 319 |
Scaling Properties and Data Analysis | p. 321 |
Implications of fractal structure up to [lambda subscript 0] | p. 324 |
Fractal Cosmology in an Open Universe | p. 326 |
Statistical Physics and Computational Complexity | p. 331 |
Introduction | p. 331 |
Satisfiability and Hard-Problem Instances | p. 332 |
Connections to Statistical Physics | p. 336 |
A closer look at the phase transition | p. 337 |
Mixtures of 2-SAT and 3-SAT problems | p. 339 |
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