Anyonic superconductivity

Joseph D. Lykken*, Jacob Sonnenschein, Nathan Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


The renormalized Chern-Simons term at finite density is shown to vanish when the renormalized coefficient at zero density takes values Ne22. 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.

Original languageEnglish
Pages (from-to)2161-2165
Number of pages5
JournalPhysical Review D
Issue number6
StatePublished - 1990
Externally publishedYes


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