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VOLUME 70 | ISSUE 9 | PAGE 601
Fermion zero modes on vortices in chiral superconductors
PACS: 11.27.+d, 74.20.-z
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 crural superconductivity: in the superconducting state of class I the axisymmetric singly quantized vortex has the same energy spectrum of bound states as in ί-wave superconductor: Ε = (η + 1/2)α>ο with integral η. In the class II the corresponding spectrum is Ε = nu>o 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 AE = 2ωο and consists of two equidistant sets of levels in accordance with Larkin and Ovchinnikov in Phys. Rev. B57, 5457 (1998) [1]. The spectrum is not influenced by a single impurity if the same approximation is applied for the class II states.