Fermions on half-quantum vortex

Details Fermions on half-quantum vortex Fermions on half-quantum vortex

1996-04-09

arxiv.org/abs/cond-mat/9604046v2

JETP Lett. 63 (1996) 763-769; Pisma Zh.Eksp.Teor.Fiz. 63 (1996) 729-734

Physics

Condensed Matter

In revised version the discussion is extended and 4 references are added. The paper is accepted for publication in JETP Letter

Scientific paper

10.1134/1.566979

The spectrum of the fermion zero modes in the vicinity of the vortex with fractional winding number is discussed. This is inspired by the observation of the 1/2 vortex in high-temperature superconductors (Kirtley, et al, Phys. Rev. Lett. 76 (1996) 1336). The fractional value of the winding number leads to the fractional value of the invariant, which describes the topology of the energy spectrum of fermions. This results in the phenomenon of the "half-crossing": the spectrum approaches zero but does not cross it, being captured at the zero energy level. The similarity with the phenomenon of the fermion condensation is discussed.

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