Investigations of Pairing in Anyon Systems
M.I.Dobroliubov, I.I.Kogan, and G.W.Semenoff
TL;DR
This paper studies pairing instabilities in anyon systems modeled as fermions with gauge interactions, finding that conventional BCS theory does not produce a gap due to competing repulsive interactions.
Contribution
It provides an analysis of pairing mechanisms in anyon systems considering gauge interactions and demonstrates the limitations of BCS pairing in this context.
Findings
No gap formation due to repulsive Coulomb interactions
Aharonov-Bohm attraction insufficient for pairing
Weak coupling limit analysis of anyon fermions
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, 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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