Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in a weak homogeneous magnetic field
From MaRDI portal
Publication:2699467
DOI10.2140/pmp.2023.4.1OpenAlexW3163515093MaRDI QIDQ2699467
Andreas Deuchert, Marcel Oliver Maier, Christian Hainzl
Publication date: 26 April 2023
Published in: Probability and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.05623
Variational methods applied to PDEs (35A15) Statistical mechanics of superconductors (82D55) Statistical mechanics of superfluids (82D50) Ginzburg-Landau equations (35Q56)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multi-component Ginzburg-Landau theory: microscopic derivation and examples
- Low density limit of BCS theory and Bose-Einstein condensation of fermion pairs
- On the Ginzburg-Landau functional in the surface superconductivity regime
- Condensation of fermion pairs in a domain
- Mathematical analysis of the multiband BCS gap equations in superconductivity
- On the Bardeen-Cooper-Schrieffer integral equation in the theory of superconductivity
- Vortices in the magnetic Ginzburg-Landau model
- The BCS functional for general pair interactions
- On eigenfunction decay for two dimensional magnetic Schrödinger operators
- Bogolubov-Hartree-Fock theory for strongly interacting fermions in the low density limit
- On Abrikosov lattice solutions of the Ginzburg-Landau equations
- Persistence of translational symmetry in the BCS model with radial pair interaction
- Ginzburg-Landau vortices, Coulomb gases, and renormalized energies
- Vortex lattices and the Bogoliubov-de Gennes equations
- Effects of corners in surface superconductivity
- Ginzburg-Landau equations on Riemann surfaces of higher genus
- The BCS critical temperature in a weak homogeneous magnetic field
- The critical temperature for the BCS equation at weak coupling
- An existence proof for the gap equation in the superconductivity theory
- Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation
- Peierls substitution for magnetic Bloch bands
- The uniqueness and approximation of a positive solution of the Bardeen–Cooper–Schrieffer gap equation
- The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties
- The gap equation for spin-polarized fermions
- Microscopic derivation of Ginzburg-Landau theory
- Translation-invariant quasi-free states for fermionic systems and the BCS approximation
- Surface superconductivity in presence of corners
- A NONLINEAR MODEL FOR RELATIVISTIC ELECTRONS AT POSITIVE TEMPERATURE
- On asymptotic perturbation theory for quantum mechanics: Almost invariant subspaces and gauge invariant magnetic perturbation theory
- Almost flat angles in surface superconductivity
- A lower bound for the BCS functional with boundary conditions at infinity
- On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation
- Theory of Superconductivity
- The external field dependence of the BCS critical temperature
This page was built for publication: Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in a weak homogeneous magnetic field