## Theory of Superconductivity: From Weak to Strong Coupling (Google eBook)Theory of Superconductivity: From Weak to Strong Coupling leads the reader from basic principles through detailed derivations and a description of the many interesting phenomena in conventional and high-temperature superconductors. The book describes physical properties of novel superconductors, in particular, the normal state, superconducting critical temperatures and critical fields, isotope effects, normal and superconducting gaps, tunneling, angle-resolved photoemission, stripes, and symmetries. The book divides naturally into two parts. Part I introduces the phenomenology of superconductivity, the microscopic BCS theory, and its extension to the intermediate coupling regime. The first three chapters of this part cover generally accepted themes in the conventional theory of superconductivity and serve as a good introduction to the subject. Chapter 4 describes what happens to the conventional theory when the coupling between electrons becomes strong. Part II describes key physical properties of high-temperature superconductors and their theoretical interpretation. Alternative viewpoints are discussed, but the emphasis is placed on the bipolaron theory. |

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### Contents

3 | |

Weak coupling theory | 33 |

Intermediatecoupling theory | 73 |

Strongcoupling theory | 95 |

Applications to highTc superconductors | 159 |

Competing interactions in unconventional superconductors | 161 |

Normal state of cuprates | 184 |

Superconducting transition | 200 |

Conclusion | 243 |

Bloch states | 244 |

Quantum statistics and Boltzmann kinetics | 252 |

Second quantization | 265 |

Analytical properties of oneparticle Greens functions | 274 |

Canonical transformation | 279 |

References | 283 |

294 | |

### Common terms and phrases

adiabatic appendix applied approximation BCS superconductor BCS theory binding energy bipolaron Bloch Bogoliubov Bose gas Bose-Einstein condensation bosons calculated carriers charged bosons chemical potential coefficient coherence condensate wavefunction conductivity constant Cooper pairs Coulomb repulsion coupling critical field cuprates density described doped e-ph interaction effective mass eigenstates electron electron-phonon interaction equation excitation experimental Fermi energy Fermi liquid Fermi surface fermions figure finite Fourier transform Frohlich interaction Hamiltonian Hence high-7c hole Holstein hopping integral in-plane insulator inter-site bipolarons kinetic Landau linear Lorenz number low temperatures magnetic field matrix elements metal momentum normal obtain one-particle operators order parameter particles penetration depth phase phonon phonon frequency polaron polaron band quantum numbers quasi-particle region renormalized respectively result scattering self-energy single-particle small polaron solution specific heat spectral function spin superfluid symmetry temperature dependence term thermal transition tunnelling vortex Wannier wavefunction yields zero

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Page vi - Published by Institute of Physics Publishing, wholly owned by The Institute of Physics, London Institute of Physics Publishing, Dirac House. Temple Back. Bristol BS1 6BE, UK US Office: Institute of Physics Publishing, The Public Ledger Building. Suite 1035, 150 South Independence Mall West, Philadelphia. PA 19106. USA Contents Preface ix...