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.
Soviet Journal of Experimental and Theoretical Physics Letters
- Pub Date:
- November 1999
- Condensed Matter;
- High Energy Physics - Phenomenology
- 4 pages, no figures, corrected version accepted in JETP Letters