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The Theory of Superconductivity in the High-TC Cuprate Superconductors


From The Publisher
This book is P. W. Anderson's long-awaited full presentation of his theory of high-T[subscript c] superconductivity in the cuprates. The fundamental insight contained in the book is that the conditions for validity of the renormalized quasiparticle theory of metals ("Fermi Liquid Theory") are much more restrictive than had been thought, and are not satisfied in the CuO[subscript 2] planes of high-T[subscript c] materials (among, probably, many other examples). This requires a new state of matter to be invented, new transport theories, and new mechanisms for superconductivity.


Table of Contents
Introduction 3
Pt. I The Cuprate Superconductors: Basic Theory
1 High-T[subscript C] Superconductors as a Magnetic Mott Phenomenon 13
2 The "Central Dogmas" 31
3 Normal State Properties in the High-T[subscript C] Superconductors: Evidence for Non-Fermi Liquid States 57
4 The Superconducting State 111
5 The One-Dimensional Hubbard Model 131
6 "Normal" State of the 2D Hubbard Model: "Tomographic" Luttinger Liquid and T[subscript C] = 0 Superconductor 163
7 Theory of Superconductivity in the High-T[subscript C] Materials 205
Pt. II Supplementary Material
A "Luttinger-Liquid" Behavior of the Normal Metallic State of the 2D Hubbard Model 243
B Singular Forward Scattering in the 2D Hubbard Model and a Renormalized Bethe Ansatz Ground State 249
C Fractional Statistics without Anyons: The Luttinger Liquid 255
D Breaking the Log-Jam in Many-Body Physics: Fermi Surfaces without Fermi Liquids 265
E The "Infrared Catastrophe": When Does It Trash Fermi Liquid Theory? 279
F Note on Perturbation Theory, Projections, and the Hubbard Model 291
G Charge-Spin Separation in 2D Fermi Systems: Singular Interactions as Modified Commutators, and Solution of the 2D Hubbard Model in the Bosonized Approximation 295
H Interlayer Tunneling and Gap Anistropy in High-Temperature Superconductors 307
I Interlayer Josephson Tunneling and Breakdown of Fermi Liquid Theory 317
J "Confinement" in the One-Dimensional Hubbard Model: Irrelevance of Single-Particle Hopping 327
K Incoherence of Single Particle Hopping between Luttinger Liquids 335
L Conductivity between Luttinger Liquids in the Confinement Regime and c-Axis Conductivity in the Cuprate Superconductors 345
M Infrared Conductivity of Cuprate Metals: Detailed Fit Using Luttinger Liquid Theory 353
N Interlayer Tunneling Mechanism for High-T[subscript C] Superconductivity: Comparison with c-Axis Infrared Experiments 359
O Coexistence of Single Particle Confinement and Singlet Pair Off-Diagonal Long Range Order in Spin Chains 365
P New Types of Off-Diagonal Long Range Order in Quantum Spin Chains 375
Q Coherence and Localization in 2D Luttinger Liquids 385
RThe "Spin Gap" in Cuprate Superconductors 393
S Remarks on Spin Gaps and Neutron Peak Selection Rules in YBCO - Do Interlayer Tunneling and Interlayer RVB as Mechanisms for Cuprate Superconductors Differ? 401
T The Neutron Peak in the Interlayer Tunneling Model of High-Temperature Superconductors 411
A Critique of Alternative Theories 423
Summary 433
Author Index 437
Subject Index 441