## Introduction to Unconventional SuperconductivityUnconventional superconductivity (or superconductivity with a nontrivial Cooper pairing) is believed to exist in many heavy-fermion materials as well as in high temperature superconductors, and is a subject of great theoretical and experimental interest. The remarkable progress achieved in this field has not been reflected in published monographs and textbooks, and there is a gap between current research and the standard education of solid state physicists in the theory of superconductivity. This book is intended to meet this information need and includes the authors' original results. |

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### Contents

Cooper Pairing | 3 |

Spin Structure of Paired States | 9 |

Phases of Superfluid Helium3 | 13 |

Superconducting States in Crystals | 17 |

Energy of Elementary Excitations in Superconductors | 29 |

Gap in the Spectrum of Elementary Excitations and Critical Temperature | 37 |

Temperature Dependence of Thermodynamic Quantities for T 0 | 45 |

Effects of Electron Number Parity in Superconductors | 47 |

Superconducting States with Multicomponent Order Parameters | 67 |

GinzburgLandau Equations and Upper Critical Field | 73 |

Boundary Conditions and Surface Superconductivity | 83 |

Magnetic Superconductors | 103 |

Part II | 117 |

Upper Critical Field in a pwave Superconductor | 137 |

Effect of Impurities on Unconventional Superconductivity | 159 |

185 | |

Paramagnetic Susceptibility and Knight Shift | 55 |

Landau Expansion of Superconductor Free Energy | 61 |

### Common terms and phrases

A-phase amplitude anisotropic arbitrary axis B-phase basal plane basis functions calculate coefficients components conventional Cooper pairs corresponding critical temperature crystal axes determined direction elementary excitations expression Fermi surface flux free energy gap nodes Ginzburg-Landau equations Ginzburg-Landau theory gradient Green,s functions Hamiltonian helium-3 Hence hexagonal crystal impurity scattering integral interaction interface invariant irreducible representations isolated points isotropic Josephson kinetic linear magnetic field magnetic moment magnetisation momenta multicomponent non-zero normal metal obtain one-component order parameter orbital angular momentum p-wave paramagnetic particles point symmetry polar phase potential quasiparticle right-hand side rotations Section sin2 singlet pairing solution of equation spatial specific heat spectrum of elementary spin-orbit coupling strong spin-orbit coupling Substituting super superconducting classes superconducting phase superfluid surface energy surface superconductivity symmetry group temperature dependence tensor tetragonal tetragonal crystal thermal conductivity thermodynamic transforms according triplet pairing unconventional superconductivity upper critical field vector wave function zero

### Popular passages

Page 186 - PG De Gennes, Superconductivity of Metals and Alloys, (WA Benjamin, Inc. , New York, 1966).

Page 185 - WN Hardy, DA Bonn, DC Morgan, R. Liang, and K. Zhang, Phys. Rev. Lett. 70, 3999 (1993).

Page 186 - Handbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun, (Dover, 1965), Formulas and Theorems for the Special Functions of Mathematical Physics, by W.

Page 186 - MT Tuominen, JM Hergenrother, TS Tighe, and M. Tinkham, Phys. Rev. Lett. 69, 1997 (1992).

Page 187 - K.-D. Usadel: The Method of the Correlation Function in Superconductivity Theory (Springer Tracts in Modern Physics, Bd.