The Theory of Superconductivity in the High-Tc Cuprate Superconductors

INTRODUCTION PART I. The Cuprate Superconductors: Basic Theory 1. High-Tc Superconductors as a Magnetic Mott Phenomenon 13 Appendix I: Chemical Pseudopotentials 24 Appendix II: Some Basic Facts about Normal Fermi Liquids: Conventional View 26 2. The "Central Dogmas" 31 Epilogue to Chapter 2: Well, How Did the Dogmas Turn Out? 46 3. Normal State Properties in the High-Tc Superconductors: Evidence for Non-Fermi Liquid States 57 4. The Superconducting State Addendum to Chapter 4 124 5. The One-Dimensional Hubbard Model 131 Appendix to Chapter 5: Physics of Conduction Processes in the 1 D Hubbard Model 158 6. "Normal" State of the 2D Hubbard Model: "Tomographic" Luttinger Liquid and TC = 0 Superconductor 163 7. Theory of Superconductivity in the High-Tc Materials 205 PART II. Supplementary Material A. 'Luttinger-Liquid" Behavior of the Normal Metallic State of the 2D Hubbard Model P. W. Anderson, PRL 64(15) (1990): 1839 243 B. Singular Forward Scattering in the 2D Hubbard Model and a Renormalized Bethe Ansatz Ground State P. W. Anderson, PRL 65(18) (1990): 2306 249 C. Fractional Statistics without Anyons: The Luttinger Liquid P. W. Anderson, Prog Theo Phys Suppl. 107 (1992): 41 255 D. Breaking the Log-jam in Many-Body Physics: Fermi Surfaces without Fermi Liquids P. W. Anderson, Physica Scripts T42 (1992): 11 265 E. The "Infrared Catastrophe": When Does It Trash Fermi Liquid Theory? P. W. Anderson, Rev Math Phys 6(5a) (1994): 1085 279 F. Note on Perturbation Theory, Projections, and the Hubbard Model P. W. Anderson, Preprint 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 P. W. Anderson and D. Khveshchenko, Phys. Rev. B 52 (1995): 16415 295 H. Interlayer Tunneling and Gap Anistropy in High-Temperature Superconductors Sudip Chakravarty et al., Science 261 (1993): 337 307 I. Interlayer Josephson Tunneling and Breakdown of Fermi Supid Chakravarty and P. W. Anderson, PRL 72 (1994): 3859 317 J. "Confinement" in the One-Dimensional Hubbard Model: Irrelevance of Single-Particle Hopping P. W. Anderson, PRL 67(27) (1991): 3844 327 K. Incoherence of Single Particle Hopping between Luttinger Liquids David G. Clarke, S. P. Strong, and P. W. Anderson, PRL 72(20) (1994): 3218 335 L. Conductivity between Luttinger Liquids in the Confinement Regime and c-Axis Conductivity in the Cuprate Superconductors David G. Clarke, S. P. Strong, and P. W. Anderson, PRL 74(22) (1995): 4499 345 M. Infrared Conductivity of Cuprate Metals: Detailed Fit Using Luttinger Liquid Theory P. W. Anderson, Phys. Rev B 1, in press. 353 N. Interlayer Tunneling Mechanism for High-Tc Superconductivity: Comparison with c-Axis Infrared Experiments P W Anderson, Science 266 (1995): 1154 359 0. Coexistence of Single Particle Confinement and Singlet Pair Off-Diagonal Long Range Order in Spin Chains David G. Clarke, Preprint 365 P. New Types of Off-Diagonal Long Range Order in Quantum Spin Chains J. C. Talstra, S. P Strong, and P W Anderson, PRL 74(26) (1995): 5256 375 Q. Coherence and Localization in 2D Luttinger Liquids P W Anderson et al. PRL 77 (1996): 4241 385 R. The "Spin Gap" in Cuprate Superconductors P W Anderson, Journ. Phys. of Cond. Matt., 8 (1996): 10083 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? P W Anderson (Submitted to PRL) 401 T. The Neutron Peak in the Interlayer Tunneling Model of High-Temperature Superconductors Lan Yin, Sudip Chakravarty, and P. W. Anderson (Submitted to PRL) 411 PART III. A Critical Postscript A Critique of Alternative Theories 423 Summary 433 AUTHOR INDEX 437 SUBJECT INDEX 441