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Title: Quantum FFLO State in Clean Layered Superconductors

Abstract

We investigate the influence of Landau quantization on the superconducting instability for a pure layered superconductor in the magnetic field directed perpendicular to the layers. We demonstrate that the quantization corrections to the Cooper-pairing kernel with finite Zeeman spin splitting promote the formation of the nonuniform state in which the order parameter is periodically modulated along the magnetic field, i.e., between the layers (Fulde-Ferrell-Larkin-Ovchinnikov [FFLO] state). The conventional uniform state experiences such a quantization-induced FFLO instability at low temperatures even in a common case of predominantly orbital suppression of superconductivity when the Zeeman spin splitting is expected to have a relatively weak effect. The maximum relative FFLO temperature is given by the ratio of the superconducting transition temperature and the Fermi energy. This maximum is realized when the ratio of the spin-spitting energy and the Landau-level separation is half-integer. These results imply that the FFLO states may exist not only in the Pauli-limited superconductors but also in very clean materials with small Zeeman spin-splitting energy. We expect that the described quantization-promoted FFLO instability is a general phenomenon, which may be found in materials with different electronic spectra and order-parameter symmetries.

Authors:
;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1511091
Alternate Identifier(s):
OSTI ID: 1518486
Grant/Contract Number:  
AC02-98CH10886; AC02-06CH11357
Resource Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
Journal Name: Physical Review. X Journal Volume: 9 Journal Issue: 2; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Song, Kok Wee, and Koshelev, Alexei E. Quantum FFLO State in Clean Layered Superconductors. United States: N. p., 2019. Web. doi:10.1103/PhysRevX.9.021025.
Song, Kok Wee, & Koshelev, Alexei E. Quantum FFLO State in Clean Layered Superconductors. United States. doi:10.1103/PhysRevX.9.021025.
Song, Kok Wee, and Koshelev, Alexei E. Tue . "Quantum FFLO State in Clean Layered Superconductors". United States. doi:10.1103/PhysRevX.9.021025.
@article{osti_1511091,
title = {Quantum FFLO State in Clean Layered Superconductors},
author = {Song, Kok Wee and Koshelev, Alexei E.},
abstractNote = {We investigate the influence of Landau quantization on the superconducting instability for a pure layered superconductor in the magnetic field directed perpendicular to the layers. We demonstrate that the quantization corrections to the Cooper-pairing kernel with finite Zeeman spin splitting promote the formation of the nonuniform state in which the order parameter is periodically modulated along the magnetic field, i.e., between the layers (Fulde-Ferrell-Larkin-Ovchinnikov [FFLO] state). The conventional uniform state experiences such a quantization-induced FFLO instability at low temperatures even in a common case of predominantly orbital suppression of superconductivity when the Zeeman spin splitting is expected to have a relatively weak effect. The maximum relative FFLO temperature is given by the ratio of the superconducting transition temperature and the Fermi energy. This maximum is realized when the ratio of the spin-spitting energy and the Landau-level separation is half-integer. These results imply that the FFLO states may exist not only in the Pauli-limited superconductors but also in very clean materials with small Zeeman spin-splitting energy. We expect that the described quantization-promoted FFLO instability is a general phenomenon, which may be found in materials with different electronic spectra and order-parameter symmetries.},
doi = {10.1103/PhysRevX.9.021025},
journal = {Physical Review. X},
number = 2,
volume = 9,
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevX.9.021025

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1 FIG. 1: Schematic figure illustrating a layered superconductor in the out-of-plane magnetic field, open Fermi surface, and the emerging vortex state with interlayer Larkin-Ovchinnikov modulation.

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    Works referencing / citing this record:

    Ising superconductors: Interplay of magnetic field, triplet channels, and disorder
    journal, January 2020


    Evidence for an Fulde-Ferrell-Larkin-Ovchinnikov State with Segmented Vortices in the BCS-BEC-Crossover Superconductor FeSe
    journal, March 2020