Fermions in the vortex core in chiral superconductors
Abstract
Using the semiclassical approach to the energy levels of the fermions bound to the vortex core, we found the difference between the states in nonchiral and chiral superconductors, determined by the Berry phase. The bound states of fermions in the singly quantized vortex in the layered superconductor with the symmetry of superfluid 3HeA is E=n\omega_0 (as distinct from E=(n+1/2)\omega_0 in swave superconductor) and thus contains the state with exactly zero energy. This is in accordance with the result obtained in microscopic theory by Kopnin and Salomaa. Using this approach for calculations of the effect of impurities on the spectrum of bound state we reproduced the LarkinOvchinnikov result for single impurity in swave vortex: the spectrum has the double period \Delta E=2\omega_0 and consists of two equdistant sets of levels. The same approach however shows that the single impurity does not change the spectrum E=n\omega_0 in the pwave vortex .
 Publication:

arXiv eprints
 Pub Date:
 September 1997
 DOI:
 10.48550/arXiv.condmat/9709159
 arXiv:
 arXiv:condmat/9709159
 Bibcode:
 1997cond.mat..9159V
 Keywords:

 Condensed Matter  Superconductivity
 EPrint:
 Latex file, 12 pages, no figures, completely rewritten, effect of impurities on the spectrum of fermions in the vortex core in swave and chiral pwave superconductors is discussed, Berry phase is introduced which is instrumental for the BohrSommerfeld quantization