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The external field dependence of the BCS critical temperature

Research output: Research - peer-reviewJournal article

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    Accepted author manuscript, 344 KB, PDF-document

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
Volume342
Issue number1
Pages (from-to)189-216
Number of pages22
ISSN0010-3616
DOIs
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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