Fermion zero modes on vortices in chiral superconductors

Details Fermion zero modes on vortices in chiral superconductors Fermion zero modes on vortices in chiral superconductors

1999-09-29

arxiv.org/abs/cond-mat/9909426v2

Pisma Zh.Eksp.Teor.Fiz. 70 (1999) 601-606; JETP Lett. 70 (1999) 609-614

Physics

Condensed Matter

4 pages, no figures, corrected version accepted in JETP Letters

Scientific paper

10.1134/1.568223

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)\omega_0 with integral n. In the class II the corresponding spectrum is E=n\omega_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 \Delta E=2\omega_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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