---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '19628'
abstract:
- lang: eng
  text: We consider the critical temperature for superconductivity, defined via the
    linear BCS equation. We prove that at weak coupling the critical temperature for
    a sample confined to a quadrant in two dimensions is strictly larger than the
    one for a half-space, which in turn is strictly larger than the one for  R^2.
    Furthermore, we prove that the relative difference of the critical temperatures
    vanishes in the weak coupling limit.
article_number: e71
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Barbara
  full_name: Roos, Barbara
  id: 5DA90512-D80F-11E9-8994-2E2EE6697425
  last_name: Roos
  orcid: 0000-0002-9071-5880
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Roos B, Seiringer R. Enhanced superconductivity at a corner for the linear
    BCS equation. <i>Forum of Mathematics, Sigma</i>. 2025;13. doi:<a href="https://doi.org/10.1017/fms.2024.145">10.1017/fms.2024.145</a>
  apa: Roos, B., &#38; Seiringer, R. (2025). Enhanced superconductivity at a corner
    for the linear BCS equation. <i>Forum of Mathematics, Sigma</i>. Cambridge University
    Press. <a href="https://doi.org/10.1017/fms.2024.145">https://doi.org/10.1017/fms.2024.145</a>
  chicago: Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner
    for the Linear BCS Equation.” <i>Forum of Mathematics, Sigma</i>. Cambridge University
    Press, 2025. <a href="https://doi.org/10.1017/fms.2024.145">https://doi.org/10.1017/fms.2024.145</a>.
  ieee: B. Roos and R. Seiringer, “Enhanced superconductivity at a corner for the
    linear BCS equation,” <i>Forum of Mathematics, Sigma</i>, vol. 13. Cambridge University
    Press, 2025.
  ista: Roos B, Seiringer R. 2025. Enhanced superconductivity at a corner for the
    linear BCS equation. Forum of Mathematics, Sigma. 13, e71.
  mla: Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner
    for the Linear BCS Equation.” <i>Forum of Mathematics, Sigma</i>, vol. 13, e71,
    Cambridge University Press, 2025, doi:<a href="https://doi.org/10.1017/fms.2024.145">10.1017/fms.2024.145</a>.
  short: B. Roos, R. Seiringer, Forum of Mathematics, Sigma 13 (2025).
corr_author: '1'
date_created: 2025-04-27T22:02:14Z
date_published: 2025-04-14T00:00:00Z
date_updated: 2025-09-30T12:20:22Z
day: '14'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1017/fms.2024.145
external_id:
  arxiv:
  - '2308.07115'
  isi:
  - '001465985500001'
file:
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  creator: dernst
  date_created: 2025-05-05T09:41:42Z
  date_updated: 2025-05-05T09:41:42Z
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file_date_updated: 2025-05-05T09:41:42Z
has_accepted_license: '1'
intvolume: '        13'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
project:
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
  grant_number: I06427
  name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Forum of Mathematics, Sigma
publication_identifier:
  eissn:
  - 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Enhanced superconductivity at a corner for the linear BCS equation
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 13
year: '2025'
...