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Condensation of fermion zero modes in the vortex

  • Condensed Matter
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Abstract

The energy levels of the fermions bound to the vortex are considered for vortices in the superfluid/superconducting systems that contain the symmetry protected plane of zeroes in the gap function in bulk. The Caroli–de Gennes–Matricon branches with different approach zero energy level at p z → 0. The density of states of the bound fermions diverges at zero energy giving rise to the \(\sqrt \Omega \) dependence of the density of states in the polar phase of superfluid 3He rotating with the angular velocity Ω and to the \(\sqrt B \) dependence of the density of states for superconductors in the (d xz + id yz )-wave pairing state.

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Authors and Affiliations

  1. Low Temperature Laboratory, Department of Applied Physics, Aalto University, FI-00076, AALTO, Finland

    G. E. Volovik

  2. Landau Institute for Theoretical Physics, Chernogolovka, Moscow region, 142432, Russia

    G. E. Volovik

  3. Nordita, KTH Royal Institute of Technology and Stockholm University, SE-106 91, Stockholm, Sweden

    G. E. Volovik

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  1. G. E. Volovik
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Correspondence to G. E. Volovik.

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Volovik, G.E. Condensation of fermion zero modes in the vortex. Jetp Lett. 104, 201–203 (2016). https://doi.org/10.1134/S0021364016150029

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  • DOI: https://doi.org/10.1134/S0021364016150029

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