Investigations of Pairing in Anyon Systems

Details Investigations of Pairing in Anyon Systems Investigations of Pairing in Anyon Systems

1992-04-13

arxiv.org/abs/cond-mat/9204005v1

Physics

Condensed Matter

(11 pages, 2 Figures not included)

Scientific paper

10.1103/PhysRevB.46.11220

We investigate pairing instabilities in the Fermi-liquid-like state of a single species of anyons. We describe the anyons as Fermions interacting with a Chern-Simons gauge field and consider the weak coupling limit where their statistics approaches that of Fermions. We show that, within the conventional BCS approach, due to induced repulsive Coulomb and current-current interactions, the attractive Aharonov-Bohm interaction is not sufficient to generate a gap in the Fermion spectrum.

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