High-Temperature Superconductivity: Bipolaron Mechanism

Victor Dmitrievich Lakhno

Published by De Gruyter 2022

High-Temperature Superconductivity

Bipolaron Mechanism

Victor Dmitrievich Lakhno

In the series De Gruyter Textbook

https://doi.org/10.1515/9783110786668

Overview
Contents

About this book

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.

Author / Editor information

Professor Dr. Lakhno Victor Dmitrievich,
Scientific supervisor of the Institute of Mathematical Problems of Biology,
Russian Academy of Sciences, Moscow, Russia.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Contents Publicly Available Download PDF	IX
1 Introduction Requires Authentication Unlicensed Licensed Download PDF	1
2 Pekar’s ansatz and the strong coupling problem in polaron theory Requires Authentication Unlicensed Licensed Download PDF	12
3 Large-radius Holstein polaron and the problem of spontaneous symmetry breaking Requires Authentication Unlicensed Licensed Download PDF	56
4 Translational-invariant bipolarons and superconductivity Requires Authentication Unlicensed Licensed Download PDF	77
5 Comparison with experiment Requires Authentication Unlicensed Licensed Download PDF	120
6 Moving bipolaron Bose condensate Requires Authentication Unlicensed Licensed Download PDF	146
7 Translation-invariant bipolarons and charge density waves Requires Authentication Unlicensed Licensed Download PDF	154
Afterword Requires Authentication Unlicensed Licensed Download PDF	161
Acknowledgments Requires Authentication Unlicensed Licensed Download PDF	163
Appendices
Appendix A Hamiltonian H₁ Requires Authentication Unlicensed Licensed Download PDF	167
Appendix B To solution of equation (2.3.10), Chapter 2 Requires Authentication Unlicensed Licensed Download PDF	169
Appendix C Analytical properties of the function DðsÞ Requires Authentication Unlicensed Licensed Download PDF	171
Appendix D Calculation of recoil energy ΔE Requires Authentication Unlicensed Licensed Download PDF	173
Appendix E Squeezed states Requires Authentication Unlicensed Licensed Download PDF	177
Appendix F On the “incompleteness” of the translation-invariant polaron theory Requires Authentication Unlicensed Licensed Download PDF	181
Appendix G Transition from discrete to continuum Holstein Hamiltonian Requires Authentication Unlicensed Licensed Download PDF	185
Appendix H On the screening interaction of TI bipolarons Requires Authentication Unlicensed Licensed Download PDF	189
Appendix I Kohn anomaly Requires Authentication Unlicensed Licensed Download PDF	191
Appendix J Some comments and suggestions for future work Requires Authentication Unlicensed Licensed Download PDF	193
Appendix K The problems to be solved Requires Authentication Unlicensed Licensed Download PDF	203
Abbreviations Requires Authentication Unlicensed Licensed Download PDF	205
References Requires Authentication Unlicensed Licensed Download PDF	207
Index Requires Authentication Unlicensed Licensed Download PDF	231

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Advanced students in Materials Science and Physics.
Pages
- Front matter: 12
- Main content: 232
Illustrations
- Illustrations: 46
- Coloured Illustrations: 4
- Tables: 4
Keywords: Bose-Einstein condensation; Bipolarons; Charge density waves; Excitons; Polarons

eBook

Published: August 1, 2022
ISBN: 9783110786668

Paperback

Published: August 1, 2022
ISBN: 9783110786637