A1 Journal article (refereed)
Hierarchies of length-scale based typology in anisotropic U(1)s-wave multiband superconductors (2019)

Winyard, T., Silaev, M., & Babaev, E. (2019). Hierarchies of length-scale based typology in anisotropic U(1)s-wave multiband superconductors. Physical Review B, 99(6), Article 064509. https://doi.org/10.1103/PhysRevB.99.064509

JYU authors or editors

Silaev, Mikhail

Publication details

All authors or editors: Winyard, Thomas; Silaev, Mikhail; Babaev, Egor

Journal or series: Physical Review B

ISSN: 2469-9950

eISSN: 2469-9969

Publication year: 2019

Volume: 99

Issue number: 6

Article number: 064509

Publisher: American Physical Society

Place of Publication: College Park

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1103/PhysRevB.99.064509

Publication open access: Not open

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/62958

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.

Keywords: superconductors; superconductivity

Free keywords: multiband superconductivity; vortex lattices

Fields of science: