Hierarchies of length-scale based typology in anisotropic U(1)s-wave multiband superconductors
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
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Physical Review BDate
2019Copyright
© 2019 American Physical Society
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.
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American Physical SocietyISSN Search the Publication Forum
2469-9950Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/28933441
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Academy Research Fellow, AoFAdditional information about funding
The work was supported by the Swedish Research Council Grants No. 642-2013-7837 and No. VR2016-06122 and Goran Gustafsson Foundation for Research in Natural Sciences and Medicine and EPSERC Grant No. EP/P024688/1). M.S. was supported by the Academy of Finland (Project No. 297439). Part of this work was performed at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611. ...License
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