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Ubiquity of superconducting domes in Bardeen-Cooper-Schrieffer theory with finite-range potentials
KTH, School of Engineering Sciences (SCI), Physics.ORCID iD: 0000-0001-7481-2245
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2019 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114Article in journal (Refereed) In press
Abstract [en]

Based on recent progress in mathematical physics, we present a reliable method to analytically solve the linearized 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 quasi-local. In contrast, we show that any well-defined non-local potential leads to a "superconducting dome", i.e. a non-monotonic 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. Our results provide a prototype example and guide towards improving ab-initio predictions of Tc for real materials.

Place, publisher, year, edition, pages
2019.
National Category
Condensed Matter Physics
Research subject
Physics; Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-249115ISI: 000465182200011Scopus ID: 2-s2.0-85064819657OAI: oai:DiVA.org:kth-249115DiVA, id: diva2:1303819
Funder
Swedish Research Council, 2016-05167
Note

QC 20190521

Available from: 2019-04-10 Created: 2019-04-10 Last updated: 2019-05-22Bibliographically approved

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Langmann, EdwinBalatsky, Alexander V.

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