The BCS critical temperature at high density

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Journal Article | Published | English

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Abstract
We investigate the BCS critical temperature Tc in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory.
Publishing Year
Date Published
2022-01-11
Journal Title
Mathematical Physics, Analysis and Geometry
Acknowledgement
I am very grateful to Robert Seiringer for his guidance during this project and for many valuable comments on an earlier version of the manuscript. Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions and comments, pointing out the reference [22] and for his involvement in a closely related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable comments on an earlier version of the manuscript and Andreas Deuchert for interesting discussions.
Volume
25
Issue
1
Article Number
3
ISSN
eISSN
IST-REx-ID
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Creative Commons Attribution 4.0 International Public License (CC-BY 4.0):
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OA Open Access
Date Uploaded
2022-01-14
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arXiv 2106.02015

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