---
_id: '10623'
abstract:
- lang: eng
  text: 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.
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.
article_number: '3'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
citation:
  ama: Henheik SJ. The BCS critical temperature at high density. <i>Mathematical Physics,
    Analysis and Geometry</i>. 2022;25(1). doi:<a href="https://doi.org/10.1007/s11040-021-09415-0">10.1007/s11040-021-09415-0</a>
  apa: Henheik, S. J. (2022). The BCS critical temperature at high density. <i>Mathematical
    Physics, Analysis and Geometry</i>. Springer Nature. <a href="https://doi.org/10.1007/s11040-021-09415-0">https://doi.org/10.1007/s11040-021-09415-0</a>
  chicago: Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical
    Physics, Analysis and Geometry</i>. Springer Nature, 2022. <a href="https://doi.org/10.1007/s11040-021-09415-0">https://doi.org/10.1007/s11040-021-09415-0</a>.
  ieee: S. J. Henheik, “The BCS critical temperature at high density,” <i>Mathematical
    Physics, Analysis and Geometry</i>, vol. 25, no. 1. Springer Nature, 2022.
  ista: Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical
    Physics, Analysis and Geometry. 25(1), 3.
  mla: Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical
    Physics, Analysis and Geometry</i>, vol. 25, no. 1, 3, Springer Nature, 2022,
    doi:<a href="https://doi.org/10.1007/s11040-021-09415-0">10.1007/s11040-021-09415-0</a>.
  short: S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).
corr_author: '1'
date_created: 2022-01-13T15:40:53Z
date_published: 2022-01-11T00:00:00Z
date_updated: 2026-04-07T12:37:10Z
day: '11'
ddc:
- '514'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1007/s11040-021-09415-0
ec_funded: 1
external_id:
  arxiv:
  - '2106.02015'
  isi:
  - '000741387600001'
file:
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  creator: cchlebak
  date_created: 2022-01-14T07:27:45Z
  date_updated: 2022-01-14T07:27:45Z
  file_id: '10624'
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file_date_updated: 2022-01-14T07:27:45Z
has_accepted_license: '1'
intvolume: '        25'
isi: 1
issue: '1'
keyword:
- geometry and topology
- mathematical physics
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Mathematical Physics, Analysis and Geometry
publication_identifier:
  eissn:
  - 1572-9656
  issn:
  - 1385-0172
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
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    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: The BCS critical temperature at high density
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 25
year: '2022'
...