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Published 2013 | Submitted
Book Section - Chapter Open

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

Abstract

In a recent paper [7] we give the first rigorous derivation of the celebrated Ginzburg-Landau (GL)the ory, starting from the microscopic Bardeen- Cooper-Schrieffer (BCS)mo del. Here we present our results in the simplified case of a one-dimensional system of particles interacting via a δ-potential.

Additional Information

© 2013 Springer Basel. First Online: 12 December 2012. Part of this work was carried out at the Erwin Schrödinger Institute for Mathematical Physics in Vienna, Austria, and the authors are grateful for the support and hospitality during their visit. Financial support via U.S. NSF grants DMS-0800906 (C.H.) and PHY-0845292 (R.S.) and a grant from the Danish council for independent research (J.P.S.) is gratefully acknowledged.

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