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 · Wed Jun 27 00:00:00 EDT 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; USDOE

Grant/Contract Number:: AC02-06CH11357; AC02-98CH1088

OSTI ID:: 1460726

Alternate ID(s):: OSTI ID: 1457482

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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