The Gradient Expansion for the Free-Energy of a Clean Superconductor

Abstract

We describe a novel method for obtaining the gradient expansion for the free energy of a clean BCS superconductor. We present explicit results up to fourth order in the gradients of the order parameter.

33 pages, LateX

References in corpus (1)

• Free Energy of an Inhomogeneous Superconductor: a Wave Function Approach

Cited by in corpus (16)

• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• The Semiclassical Propagator for Spin Coherent States
• Borel Summation of the Derivative Expansion and Effective Actions
• All about the Static Fermion Bags in the Gross-Neveu Model
• Temperature dependence of the superheating field for superconductors in the high-k London limit
• The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry
• Transmutations of supersymmetry through soliton scattering, and self-consistent condensates
• Fermion in a multi-kink-antikink soliton background, and exotic supersymmetry
• Fluctuation effects in disordered Peierls systems
• Quasiparticle entropy in superconductor/normal metal/superconductor proximity junctions in the diffusive limit
• Algorithm for obtaining the gradient expansion of the local density of states and the free energy of a superconductor
• Thermodynamics of a phase-driven proximity Josephson junction
• The Dirac Operator in a Fermion Bag Background in 1+1 Dimensions and Generalized Supersymmetric Quantum Mechanics
• Supersymmetric construction of self-consistent condensates in large N GN model: solitons on finite-gap potentials