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Fermions in the vortex core as edge states.

By G. E. Volovik


The splitting of the spectrum of the electronic bound states in the vortex core with broken parity and axisymmetry is dicussed using (i) the phenomenological approach, and (ii) the simple model, in which the vortex core is represented by the vortex sheet of the radius R much larger than the coherence length ξ. In this model the bound states are concentrated in the vortex sheet and represent the chiral edge states similar to that in Quantum Hall Effect. The energy levels are obtained by quasiclassical quantization of the fermion motion on closed classical trajectories along the sheet. For the vortex with winding number n = 1 we found the splitting of the spectrum into two sub-branches. The levels on each sub-branch are equidistant, but the sub-branches are symmetrically shifted from each other. This is similar to what was found by Larkin and Ovchinnikov in a recent preprint cond-mat/9708202 [1] for the case when the symmetry is broken by impurities. 1

Year: 2008
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