The External Field Dependence of the BCS Critical Temperature

  title={The External Field Dependence of the BCS Critical Temperature},
  author={R. Frank and Christian Hainzl and R. Seiringer and J. P. Solovej},
  journal={Communications in Mathematical Physics},
  • R. Frank, Christian Hainzl, +1 author J. P. Solovej
  • Published 2014
  • Mathematics, Physics
  • Communications in Mathematical Physics
  • 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… CONTINUE READING


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