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Ubiquity of Superconducting Domes in the Bardeen-Cooper-Schrieffer Theory with Finite-Range Potentials
KTH, School of Engineering Sciences (SCI), Physics, Mathematical Physics. KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.ORCID iD: 0000-0001-7481-2245
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Department of Physics, University of Connecticut, Storrs, Connecticut 06269-3046, USA.
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
American Physical Society , 2019. Vol. 122, no 15, article id 157001
Keywords [en]
Shear waves, Bardeen-Cooper-Schrieffer, Bardeen-Cooper-Schrieffer theory, Interaction potentials, Mathematical physics, Monotonic growth, Nonlocal potentials, Simplifying assumptions, Superconducting critical temperatures, Domes
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:kth:diva-255910DOI: 10.1103/PhysRevLett.122.157001Scopus ID: 2-s2.0-85064819657OAI: oai:DiVA.org:kth-255910DiVA, id: diva2:1344909
Note

QC 20190822

Available from: 2019-08-22 Created: 2019-08-22 Last updated: 2019-08-22Bibliographically approved

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Langmann, EdwinBalatsky, Alexander V.

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