arXiv:cond-mat/9204005 · Physical review. B, Condensed matter

Investigations of pairing in anyon systems

Mikhail I. Dobroliubov, Ian I. Kogan, Gordon Walter Semenoff

Published Nov 1, 1992• 1 citation

Abstract

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, because of induced repulsive Coulomb and current-current interactions, the attractive Aharonov-Bohm interaction is not sufficient to generate a gap in the fermion spectrum.

DOI: 10.1103/physrevb.46.11220

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