Interplay between orbital-quantization effects and the Fulde-Ferrell-Larkin-Ovchinnikov instability in multiple-band layered superconductors

Song, Kok Wee; Koshelev, Alexei E.

doi:10.1103/PhysRevB.97.224520

Title: Interplay between orbital-quantization effects and the Fulde-Ferrell-Larkin-Ovchinnikov instability in multiple-band layered superconductors

Journal Article · 27 June 2018 · Physical Review. B

DOI: https://doi.org/10.1103/PhysRevB.97.224520 · OSTI ID:1460726

Song, Kok Wee ^[1]; Koshelev, Alexei E. ^[1]

Argonne National Lab. (ANL), Argonne, IL (United States)

We explore superconducting instability for a clean two-band layered superconductor with deep and shallow bands in the magnetic field applied perpendicular to the layers. In the shallow band, the quasiclassical approximation is not applicable, and Landau quantization has to be accounted for exactly. The electronic spectrum of this band in the magnetic field is composed of the onedimensional Landau-level minibands. With increasing magnetic field the system experiences series of Lifshitz transitions when the chemical potential enters and exits the minibands. These transitions profoundly in uence the shape of the upper critical field at low temperatures. In addition, the Zeeman spin splitting may cause the nonuniform state with interlayer modulation of the superconducting order parameter (Fulde-Ferrell-Larkin-Ovchinnikov state). Typically, the quantization effects in the shallow band strongly promote the formation of this state. The uniform state remains favorable only in the exceptional resonance cases when the spin-splitting energy exactly matches the Landau-level spacing. Furthermore, for specific relations between electronic spectrum parameters, the alternating FFLO state may realize, in which the order parameter changes sign between the neighboring layers. For all above cases, the reentrant high-field superconducting states may emerge at low temperatures if the shallow band has significant contribution to the Cooper pairing.

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Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Center for Emergent Superconductivity (CES); Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1460726

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 22 Vol. 97; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Strong Landau-quantization effects in high-magnetic-field superconductivity of a two-dimensional multiple-band metal near the Lifshitz transition Song, Kok Wee; Koshelev, Alexei E. arXiv https://doi.org/10.48550/arxiv.1702.02120	text	January 2017
Weyl and Dirac Semimetals in Three Dimensional Solids Armitage, N. P.; Mele, E. J.; Vishwanath, Ashvin arXiv https://doi.org/10.48550/arxiv.1705.01111	text	January 2017
Fulde-Ferrell-Larkin-Ovchinnikov state in a perpendicular field of quasi two-dimensional CeCoIn5 Kumagai, K.; Saitoh, M.; Oyaizu, T. arXiv https://doi.org/10.48550/arxiv.cond-mat/0605394	text	January 2006
Effect of nematic ordering on electronic structure of FeSe Fedorov, A.; Yaresko, A.; Kim, T. K. Karlsruhe https://doi.org/10.5445/ir/1000062833	text	January 2016
Fulde–Ferrell–Larkin–Ovchinnikov States in Two-Band Superconductors Mizushima, Takeshi; Takahashi, Masahiro; Machida, Kazushige Journal of the Physical Society of Japan, Vol. 83, Issue 2 https://doi.org/10.7566/JPSJ.83.023703	journal	February 2014
Possible Field–Temperature Phase Diagrams of Two-Band Superconductors with Paramagnetic Pair-Breaking Adachi, Kyosuke; Ikeda, Ryusuke Journal of the Physical Society of Japan, Vol. 84, Issue 6 https://doi.org/10.7566/JPSJ.84.064712	journal	June 2015

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Evidence for an Fulde-Ferrell-Larkin-Ovchinnikov State with Segmented Vortices in the BCS-BEC-Crossover Superconductor FeSe Kasahara, S.; Sato, Y.; Licciardello, S. Physical Review Letters, Vol. 124, Issue 10 https://doi.org/10.1103/physrevlett.124.107001	journal	March 2020
Quantum FFLO State in Clean Layered Superconductors Song, Kok Wee; Koshelev, Alexei E. Physical Review X, Vol. 9, Issue 2 https://doi.org/10.1103/physrevx.9.021025	journal	May 2019

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