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DC Conductivity in an \(s\)-Wave Superconducting Single Vortex System

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Abstract

We study dynamics of a two-dimensional \(s\)-wave superconductor in the presence of a moving single vortex on the basis of the quasiclassical theory generalized by Kita (Phys Rev B 64:054503, 2001). We numerically calculate the linear response of a moving single vortex driven by a dc external current in a self-consistent way, in the sense that the gap equation, Maxwell equations and generalized quasiclassical equation with the impurity self-energy (self-consistent Born approximation) are solved simultaneously. We obtain Hall conductivity induced by vortex motion using the generalized quasiclassical equation, while we confirm that it vanishes in the conventional quasiclassical equation.

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Notes

  1. We numerically find in an equilibrium state that \(\rho (r)\) around vortex core is the order of \(|e| N_\mathrm{f} \varDelta _\infty /(k_\mathrm{f}\xi )\) and confirm the charge neutrality condition holds; \(2\pi \int _0^R \mathrm{d}r r \rho (r)\sim 0\) for \(R\) being a few times larger than \(\xi \).

  2. The discussion on the screening effect in terms of the gauge-invariant quasiclassical Green function is given in Chap.10.3 of Ref. [1].

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Acknowledgments

E. A. is supported by a Grant-in-Aid from JSPS (238521) and “Office for Gender Equality, The University of Tokyo” from JST. This work is supported by KAKENHI (70183605) from JSPS.

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Authors and Affiliations

  1. Research Institute of Industry, The University of Tokyo, 4-6-1 Komaba, Tokyo, 153-8505, Japan

    E. Arahata

  2. Department of Basic Science, The University of Tokyo, 3-8-1 Komaba, Tokyo, 153-8902, Japan

    Y. Kato

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  1. E. Arahata
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  2. Y. Kato
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Correspondence to E. Arahata.

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Arahata, E., Kato, Y. DC Conductivity in an \(s\)-Wave Superconducting Single Vortex System. J Low Temp Phys 175, 346–352 (2014). https://doi.org/10.1007/s10909-013-0992-5

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