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Anyonic superconductivity

Joseph D. Lykken, Jacob Sonnenschein, Nathan Weiss

DOI 10.1103/PhysRevD.42.2161 · Physical Review D

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Abstract

The renormalized Chern-Simons term at finite density is shown to vanish when the renormalized coefficient at zero density takes values Ne22π. Thus in the Chern-Simons description a system of anyons at zero temperature is a superfluid. This result is shown to hold to all orders in perturbation theory by generalizing a nonrenormalization theorem of the zero-density case. We also discuss the finite-temperature case, where a perturbative Chern-Simons mass appears.

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