The BCS critical temperature at high density Henheik, Sven Joscha ; https://orcid.org/0000-0003-1106-327X geometry and topology mathematical physics ddc:514 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. Springer Nature 2022 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/10623 https://research-explorer.ista.ac.at/download/10623/10624 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> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s11040-021-09415-0 info:eu-repo/semantics/altIdentifier/issn/1385-0172 info:eu-repo/semantics/altIdentifier/e-issn/1572-9656 info:eu-repo/semantics/altIdentifier/wos/000741387600001 info:eu-repo/semantics/altIdentifier/arxiv/2106.02015 info:eu-repo/semantics/openAccess