The voltage–current characteristics of superconductors under magnetic field

A nonlinear theory of the electronic transport in superconductors under magnetic field in the framework of the three-dimensional Ginzburg–Landau model with thermal fluctuation is investigated. We assume that the thermal fluctuations are strong enough to melt the Abrikosov vortex lattice created by t...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2022-03, Vol.95 (3), Article 37
Main Authors: Dang, Hue Thi Minh, Tinh, Bui Duc
Format: Article
Language:English
Subjects:
Analysis
Complex Systems
Condensed Matter Physics
Current voltage characteristics
Electron transport
Fluid- and Aerodynamics
Liquid phases
Magnetic fields
Physics
Physics and Astronomy
Regular Article - Solid State and Materials
Solid State Physics
Superconductors
Three dimensional models
Vortices
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Summary:A nonlinear theory of the electronic transport in superconductors under magnetic field in the framework of the three-dimensional Ginzburg–Landau model with thermal fluctuation is investigated. We assume that the thermal fluctuations are strong enough to melt the Abrikosov vortex lattice created by the magnetic field into a moving vortex liquid. On one hand, vortex crystal is effectively destroyed by thermal fluctuations and, on the other hand, disorder (significantly “weakened” by thermal fluctuations) is not strong enough to significantly affect the transport. We use self-consistent Gaussian approximation to treat the nonlinear interaction term in dynamics and include all Landau levels to treat arbitrary magnetic fields. The voltage–current curve is calculated for arbitrary magnetic field and temperature. Our results are compared to experimental data on tungsten (W) strip. The comparison is good for temperature above T g , where vortex liquid phase occurs. We find that the voltage–current dependence acquires an S-shape form leading to switching instabilities for temperature below T g . Graphical abstract
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/s10051-022-00300-5