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Hierarchies of length-scale based typology in anisotropic U(1)s -wave multiband superconductors

Winyard, Thomas, Silaev, Mihail, Babaev, Egor (2019) Hierarchies of length-scale based typology in anisotropic U(1)s -wave multiband superconductors. Physical Review B, 99 (6). Article Number 064509. ISSN 2469-9950. E-ISSN 2469-9969. (doi:10.1103/PhysRevB.99.064509) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:90668)

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Official URL:
https://doi.org/10.1103/PhysRevB.99.064509

Abstract

Since Ginzburg and Landau's seminal work in 1950, superconducting states have been classified by the hierarchy of the fundamental length scales of the theory, the magnetic-field penetration lengths and coherence lengths. In the simplest single-component case they form a dimensionless ratio κ. The model was generalized by Ginzburg for anisotropic materials in 1952. In this paper we expand the above length-scale analysis to anisotropic multicomponent superconductors that can have multiple coherence lengths as well as multiple magnetic-field penetration lengths, leading to unconventional length-scale hierarchies. We demonstrate that the anisotropies in multiband superconductors lead to new regimes with various mixed hierarchies in different directions. For example, a regime is possible, where for a field applied in a certain direction coherence lengths are smaller than the magnetic-field penetration lengths in one of the perpendicular directions, whereas the penetration lengths are larger in the other direction. Focusing on a model of a clean anisotropic multiband s-wave supercocoductors we show exampes of a new regime where vortex cores overlap in one direction, resulting in attractive core-core interaction, while in the orthogonal direction the magnetic-field penetration length exceeds the coherence lengths, leading to dominance of repulsive current-current interaction, resulting in an unconventional magnetic response.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevB.99.064509
Uncontrolled keywords: Multiband superconductivity; Superconductivity; Vortex lattices; Landau-Ginzburg theory
Subjects: Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Amy Boaler
Date Deposited: 06 Oct 2021 14:53 UTC
Last Modified: 04 Mar 2024 18:12 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/90668 (The current URI for this page, for reference purposes)

University of Kent Author Information

Winyard, Thomas.

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