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Ubiquity of Superconducting Domes in the Bardeen-Cooper-Schrieffer Theory with Finite-Range Potentials
KTH Royal Inst Technol, Dept Phys, SE-10691 Stockholm, Sweden.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory.
Univ Connecticut, Dept Phys, Storrs, CT 06269 USA;Nord Inst Theoret Phys NORDITA, S-10691 Stockholm, Sweden;KTH, CQM, S-10691 Stockholm, Sweden;NORDITA, S-10691 Stockholm, Sweden.
2019 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 122, no 15, article id 157001Article in journal (Refereed) Published
Abstract [en]

Based on recent progress in mathematical physics, we present a reliable method to analytically solve the linearized Bardeen-Cooper-Schrieffer (BCS) gap equation for a large class of finite-range interaction potentials leading to s-wave superconductivity. With this analysis, we demonstrate that the monotonic growth of the superconducting critical temperature Tc with the carrier density n predicted by standard BCS theory, is an artifact of the simplifying assumption that the interaction is quasilocal. In contrast, we show that any well-defined nonlocal potential leads to a "superconducting dome," i.e., a nonmonotonic Tc(n) exhibiting a maximum value at finite doping and going to zero for large n. This proves that, contrary to conventional wisdom, the presence of a superconducting dome is not necessarily an indication of competing orders, nor of exotic superconductivity.

Place, publisher, year, edition, pages
2019. Vol. 122, no 15, article id 157001
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-382840DOI: 10.1103/PhysRevLett.122.157001ISI: 000465182200011PubMedID: 31050533OAI: oai:DiVA.org:uu-382840DiVA, id: diva2:1316566
Funder
Swedish Research Council, 621-2014-3721Swedish Research Council, 2016-05167Swedish Research Council, 2017-03997Knut and Alice Wallenberg FoundationAvailable from: 2019-05-20 Created: 2019-05-20 Last updated: 2019-05-20Bibliographically approved

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