Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction
Rupert L. Frank, Christian Hainzl, Robert Seiringer, Jan Philip, Solovej
TL;DR
This paper rigorously derives the Ginzburg-Landau theory from the microscopic BCS model specifically for a one-dimensional system with contact interactions, providing a simplified yet fundamental understanding of superconductivity.
Contribution
It offers the first rigorous derivation of Ginzburg-Landau theory from BCS in a one-dimensional delta-potential setting, advancing theoretical understanding.
Findings
Successful derivation of GL theory from BCS in 1D with contact interaction
Clarifies the connection between microscopic and macroscopic superconductivity models
Provides a foundation for further studies in low-dimensional superconducting systems
Abstract
In a recent paper we give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Here we present our results in the simplified case of a one-dimensional system of particles interacting via a delta-potential.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Material Dynamics and Properties · Theoretical and Computational Physics