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Impurity Effects in a Vortex Core in a Chiral p-Wave Superconductor Within the t-Matrix Approximation

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Abstract

We study the effects of non-magnetic impurity scattering on the Andreev bound states (ABS) in an isolated vortex in two-dimensional chiral p-wave superconductors numerically. We incorporate the impurity scattering effects into the quasiclassical Eilenberger formulation through the self-consistent t-matrix approximation. Within this scheme, we calculate the local density of states (LDOS) around two types of vortices: “parallel” (“anti-parallel”) vortex where the phase winding of the pair-potential coming from the vorticity and that coming from the chirality have the same (opposite) sign.

When the scattering phase-shift δ 0 of each impurity is small, we find that the impurities affect differently the spectra of quasiparticles localized around the two types of vortices in a way similar to that in the Born limit (δ 0→0). For a larger δ 0(≲π/2), ABS in the vortex is strongly suppressed by the impurities for both types of vortices. We find that there are some correlations between the suppression of ABS near vortex cores and the low energy density of states due to the impurity bands in the bulk.

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Acknowledgements

This work was supported by JSPS KAKENHI Grant Number 23244070. We thank J.A. Sauls for fruitful discussions.

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Authors and Affiliations

  1. Department of Basic Science, The University of Tokyo, Komaba, Meguro, Tokyo, 153-8902, Japan

    Noriyuki Kurosawa & Yusuke Kato

  2. NanoSquare Research Center (N2RC), Osaka Prefecture University, 1-2 Gakuen-cho, Naka-ku, Sakai, 599-8570, Japan

    Nobuhiko Hayashi

  3. Institute of Industrial Science, The University of Tokyo, Komaba, Meguro, Tokyo, 153-8505, Japan

    Emiko Arahata

Authors
  1. Noriyuki Kurosawa
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  2. Nobuhiko Hayashi
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  3. Emiko Arahata
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  4. Yusuke Kato
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Correspondence to Noriyuki Kurosawa.

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Kurosawa, N., Hayashi, N., Arahata, E. et al. Impurity Effects in a Vortex Core in a Chiral p-Wave Superconductor Within the t-Matrix Approximation. J Low Temp Phys 175, 365–371 (2014). https://doi.org/10.1007/s10909-013-0951-1

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  • DOI: https://doi.org/10.1007/s10909-013-0951-1

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