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Fermion zero modes on vortices in chiral superconductors

G. E. Volovik
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Abstract

The energy levels of the fermions bound to the vortex core are considered for the general case of chiral superconductors. There are two classes of chiral superconductivity: in the superconducting state of class I the axisymmetric singly quantized vortex has the same energy spectrum of bound states as in s-wave superconductor: E=(n+1/2)ω_0 with integral n. In the class II the corresponding spectrum is E=nω_0 and thus contains the state with exactly zero energy. The effect of a single impurity on the spectrum of bound state is also considered. For the class I the spectrum acquires the double period ΔE=2ω_0 and consists of two equidistant sets of levels in accordance with A.I. Larkin and Yu.N. Ovchinnikov, Phys. Rev. B57 (1998) 5457. The spectrum is not influenced by a single impurity if the same approximation is applied for vortices in the class II superconducting states.

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G. E. Volovik. 1999-10-26. Fermion zero modes on vortices in chiral superconductors. https://doi.org/10.1134/1.568223

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