{"title":"The BCS Critical Temperature at High Density","authors":"Joscha Henheik","doi":"10.1007/s11040-021-09415-0","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate the BCS critical temperature <span>\\(T_c\\)</span> in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential <i>V</i> on the Fermi-surface. Our results include a rigorous confirmation for the behavior of <span>\\(T_c\\)</span> 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.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11040-021-09415-0.pdf","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s11040-021-09415-0","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
We investigate the BCS critical temperature \(T_c\) 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 \(T_c\) 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.
我们研究了高密度极限下的BCS临界温度\(T_c\)，并推导了一个渐近公式，该公式强烈依赖于相互作用势V在费米表面上的行为。我们的研究结果包括严格确认了Langmann等人提出的\(T_c\)在高密度下的行为(Phys Rev Lett 122:157001, 2019)，并确定了BCS理论中超导圆顶出现的精确条件。
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