Theory of Superconductivity – Lecture Notes on Physics
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Lecture Notes by Prof. Helmut Eschrig
TOC
1 INTRODUCTION
2 PHENOMENA, LONDON THEORY
2.1 Phenomena
2.2 London theory
2.3 Gauge symmetry, London gauge
3 THE THERMODYNAMICS OF THE PHASE TRANSITION
3.1 The Free Energy
3.2 The Free Enthalpy
3.3 The thermodynamic critical field
3.4 Heat capacity jump
4 THE GINSBURG-LANDAU THEORY; TYPES OF SUPERCONDUCTORS
4.1 The Landau theory
4.2 The Ginsburg-Landau equations
4.3 The Ginsburg-Landau parameter
4.4 The phase boundary
4.5 The energy of the phase boundary
5 INTERMEDIATE STATE, MIXED STATE
5.1 The intermediate state of a type I superconductor
5.2 Mixed state of a type II superconductor
5.3 The flux line in a type II superconductor
6 JOSEPHSON EFFECTS
6.1 The d.c. Josephson effect, quantum interference
6.2 The a.c. Josephson effect
7 MICROSCOPIC THEORY: THE FOCK SPACE
7.1 Slater determinants
7.2 The Fock space
7.3 Occupation number representation
7.4 Field operators
8 MICROSCOPIC THEORY: THE BCS MODEL
8.1 The normal Fermi liquid as a quasi-particle gas
8.2 The Cooper problem
8.3 The BCS Hamiltonian
8.4 The Bogoliubov-Valatin transformation
9 MICROSCOPIC THEORY: PAIR STATES
9.1 The BCS ground state
9.2 The pair function
9.3 Non-zero temperature
10 MICROSCOPIC THEORY: COHERENCE FACTORS
10.1 The thermodynamic state
10.2 The charge and spin moment densities
10.3 Ultrasonic attenuation
10.4 The spin susceptibility
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