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The external field dependence of the BCS critical temperature

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

We consider the Bardeen-Cooper-Schrieffer free energy functional for particles interacting via a two-body potential on a microscopic scale and in the presence of weak external fields varying on a macroscopic scale. We study the influence of the external fields on the critical temperature. We show that in the limit where the ratio between the microscopic and macroscopic scale tends to zero, the next to leading order of the critical temperature is determined by the lowest eigenvalue of the linearization of the Ginzburg-Landau equation.
Original languageEnglish
JournalCommunications in Mathematical Physics
Issue number1
Pages (from-to)189-216
Number of pages22
StatePublished - 2016

Bibliographical note

28 pages

    Research areas

  • math-ph, cond-mat.quant-gas, cond-mat.supr-con, math.AP, math.MP

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