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Symmetry analysis of odd- and even-frequency superconducting gap symmetries for time-reversal symmetric interactions
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Institute for Materials Science, Los Alamos National Laboratory, Los Alamos, USA; Department of Physics, University of Connecticut, USA.
2018 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 97, no 2, article id 024507Article in journal (Refereed) Published
Abstract [en]

Odd-frequency superconductivity describes a class of superconducting states where the superconducting gap is an odd function in relative time and Matsubara frequency. We present a group theoretical analysis based on the linearized gap equation in terms of Shubnikov groups of the second kind. By discussing systems with spin-orbit coupling and an interaction kernel which is symmetric under the reversal of relative time, we show that both even-and odd-frequency gaps are allowed to occur. Specific examples are discussed for the square lattice, the octahedral lattice, and the tetragonal lattice. For irreducible representations that are even under the reversal of relative time the common combinations of s- and d-wave spin singlet and p-wave spin triplet gaps are revealed, irreducible representations that are odd under reversal of relative time give rise to s- and d-wave spin triplet and p-wave spin singlet gaps. Furthermore, we discuss the construction of a generalized Ginzburg-Landau theory in terms of the associated irreducible representations. The result complements the established classification of superconducting states of matter.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2018. Vol. 97, no 2, article id 024507
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-221939DOI: 10.1103/PhysRevB.97.024507ISI: 000419770600005Scopus ID: 2-s2.0-85040615734OAI: oai:DiVA.org:kth-221939DiVA, id: diva2:1178888
Funder
Knut and Alice Wallenberg Foundation
Note

QC 20180131

Available from: 2018-01-31 Created: 2018-01-31 Last updated: 2018-01-31Bibliographically approved

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Geilhufe, MatthiasBalatsky, Alexander V.

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