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The Theory of Superconductivity in the High-T"c" Cuprate Superconductors

This book is P. W. Anderson's long-awaited full presentation of his theory of high-T"c" superconductivity in the cuprates. He realized that this striking new phenomenon needed for its explanation not just a new mechanism or "gimmick" but a radical reworking of the electronic theory of metals, especially those of low dimension. The many fundamentally new ideas that are first fully presented here will require a rewriting of the textbooks of many-body theory, which may take decades. The book incorporates full discussions of the experimental situation in these complex materials, both the normal and the superconducting states. The latest advances are contained in a selection of re-and pre-prints of recent work by Anderson and collaborators. 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"2" planes of high-T"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. This book will supersede all theoretical discussions of superconductivity that are now available in book form. Originally published in 1997. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
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Table of Contents

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


"It's publication is a major event, and the book deserves t o be carefully read by anyone seriously interested in the subject."--Tony Leggett, Physics World

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