The voltage–current characteristics of superconductors under magnetic field

Hue Thi Minh Dang () and Bui Duc Tinh ()
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Hue Thi Minh Dang: Thuyloi University
Bui Duc Tinh: Hanoi National University of Education

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 3, 1-6

Abstract: Abstract 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 $$ T_\mathrm{g}$$ 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 $$T_\mathrm{g}.$$ T g . Graphical abstract

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00300-5

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