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The voltage–current characteristics of superconductors under magnetic field

  • Regular Article - Solid State and Materials
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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 \( T_\mathrm{g}\), where vortex liquid phase occurs. We find that the voltage–current dependence acquires an S-shape form leading to switching instabilities for temperature below \(T_\mathrm{g}.\)

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: If someone needs the data, the person can kindly contact the corresponding author.]

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Authors and Affiliations

  1. Division of Physics, Faculty of Electrical and Electronics Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Vietnam

    Hue Thi Minh Dang

  2. Faculty of Physics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

    Bui Duc Tinh

Authors
  1. Hue Thi Minh Dang
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  2. Bui Duc Tinh
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Contributions

HTMD developed the theoretical formalism, performed the analytic calculations and BDT performed the numerical simulations. Both HTMD and BDT authors contributed to the final version of the manuscript.

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Correspondence to Hue Thi Minh Dang.

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Dang, H.T.M., Tinh, B.D. The voltage–current characteristics of superconductors under magnetic field. Eur. Phys. J. B 95, 37 (2022). https://doi.org/10.1140/epjb/s10051-022-00300-5

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