Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction

Research paper by Rupert L. Frank, Christian Hainzl, Robert Seiringer, Jan Philip Solovej

Indexed on: 09 Mar '11Published on: 09 Mar '11Published in: Mathematical Physics

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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.