---
_id: '11732'
abstract:
- lang: eng
  text: We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic
    formula, which strongly depends on the strength of the interaction potential V
    on the Fermi surface. In combination with the recent result by one of us (Math.
    Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities,
    we prove the universality of the ratio of the energy gap and the critical temperature.
acknowledgement: "We are grateful to Robert Seiringer for helpful discussions and
  many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges
  partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open
  access funding provided by Institute of Science and Technology (IST Austria)"
article_number: '5'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
- first_name: Asbjørn Bækgaard
  full_name: Lauritsen, Asbjørn Bækgaard
  id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
  last_name: Lauritsen
  orcid: 0000-0003-4476-2288
citation:
  ama: Henheik SJ, Lauritsen AB. The BCS energy gap at high density. <i>Journal of
    Statistical Physics</i>. 2022;189. doi:<a href="https://doi.org/10.1007/s10955-022-02965-9">10.1007/s10955-022-02965-9</a>
  apa: Henheik, S. J., &#38; Lauritsen, A. B. (2022). The BCS energy gap at high density.
    <i>Journal of Statistical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s10955-022-02965-9">https://doi.org/10.1007/s10955-022-02965-9</a>
  chicago: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap
    at High Density.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022.
    <a href="https://doi.org/10.1007/s10955-022-02965-9">https://doi.org/10.1007/s10955-022-02965-9</a>.
  ieee: S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” <i>Journal
    of Statistical Physics</i>, vol. 189. Springer Nature, 2022.
  ista: Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal
    of Statistical Physics. 189, 5.
  mla: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at
    High Density.” <i>Journal of Statistical Physics</i>, vol. 189, 5, Springer Nature,
    2022, doi:<a href="https://doi.org/10.1007/s10955-022-02965-9">10.1007/s10955-022-02965-9</a>.
  short: S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).
corr_author: '1'
date_created: 2022-08-05T11:36:56Z
date_published: 2022-07-29T00:00:00Z
date_updated: 2026-04-07T13:01:40Z
day: '29'
ddc:
- '530'
department:
- _id: GradSch
- _id: LaEr
- _id: RoSe
doi: 10.1007/s10955-022-02965-9
ec_funded: 1
external_id:
  isi:
  - '000833007200002'
file:
- access_level: open_access
  checksum: b398c4dbf65f71d417981d6e366427e9
  content_type: application/pdf
  creator: dernst
  date_created: 2022-08-08T07:36:34Z
  date_updated: 2022-08-08T07:36:34Z
  file_id: '11746'
  file_name: 2022_JourStatisticalPhysics_Henheik.pdf
  file_size: 419563
  relation: main_file
  success: 1
file_date_updated: 2022-08-08T07:36:34Z
has_accepted_license: '1'
intvolume: '       189'
isi: 1
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '07'
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
publication: Journal of Statistical Physics
publication_identifier:
  eissn:
  - 1572-9613
  issn:
  - 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '19540'
    relation: dissertation_contains
    status: public
  - id: '18135'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: The BCS energy gap 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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 189
year: '2022'
...