High-Temperature Superconductivity: Bipolaron Mechanism

✍ Scribed by Victor Dmitrievich Lakhno

• Publisher: De Gruyter
• Year: 2022
• Tongue: English
• Leaves: 244
• Category: Library

✦ Synopsis

High temperature superconducting theory drew controversy after the discovery of superconductors at close to room temperatures. However, a consistent microscopic theory of HT superconductivity based on bipolaron mechanism leads to a better understanding of microscopic and macroscopic description. By presenting aspects of superconductivity now joined in a strict theory rather than separate models this work is especially useful for graduate students.

• Better understanding by combining the theory of superconductivity with that of bipolarons.
• Explaining numerous experiments on the thermodynamic, spectroscopic and transport characteristics.
• Problems and solutions for a successful exam preparation.

✦ Table of Contents

Preface
Contents
1 Introduction
2 Pekar’s ansatz and the strong coupling problem in polaron theory
3 Large-radius Holstein polaron and the problem of spontaneous symmetry breaking
4 Translational-invariant bipolarons and superconductivity
5 Comparison with experiment
6 Moving bipolaron Bose condensate
7 Translation-invariant bipolarons and charge density waves
Afterword
Acknowledgments
Appendices
Appendix A Hamiltonian H₁
Appendix B To solution of equation (2.3.10), Chapter 2
Appendix C Analytical properties of the function DðsÞ
Appendix D Calculation of recoil energy ΔE
Appendix E Squeezed states
Appendix F On the “incompleteness” of the translation-invariant polaron theory
Appendix G Transition from discrete to continuum Holstein Hamiltonian
Appendix H On the screening interaction of TI bipolarons
Appendix I Kohn anomaly
Appendix J Some comments and suggestions for future work
Appendix K The problems to be solved
Abbreviations
References
Index