The BCS critical temperature for potentials with negative scattering length Journal Article


Author(s): Hainzl, Christian; Seiringer, Robert
Article Title: The BCS critical temperature for potentials with negative scattering length
Affiliation
Abstract: We prove that the critical temperature for the BCS gap equation is given by T c = μ ( 8\π e γ-2+ o(1)) e π/(2μa) in the low density limit μ→ 0, with γ denoting Euler's constant. The formula holds for a suitable class of interaction potentials with negative scattering length a in the absence of bound states.
Keywords: Scattering length; BCS equation; Birman-Schwinger principle; Superfluidity
Journal Title: Letters in Mathematical Physics
Volume: 84
Issue 2-3
ISSN: 1573-0530
Publisher: Springer  
Date Published: 2008-06-01
Start Page: 99
End Page: 107
URL:
DOI: 10.1007/s11005-008-0242-y
Open access: yes (repository)
IST Austria Authors
  1. Robert Seiringer
    123 Seiringer
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