Non-Fermi liquid fixed point in 2 + 1 dimensions

Chetan Nayak, Frank Wilczek

Research output: Contribution to journalArticlepeer-review

204 Scopus citations


We construct models of excitations about a Fermi surface that display calculable deviations from Fermi liquid behavior in the low-energy limit. They arise as a consequence of coupling to a Chern-Simons gauge field, whose fluctuations are controlled through a 1 kx interaction. The Fermi liquid fixed point is shown to be unstable in the infrared for x < 1, and an infrared-stable fixed point is found in a (1 - x)-expansion, analogous to the ε{lunate}-expansion of critical phenomena. x = 1 corresponds to Coulomb interactions, and in this case we find a logarithmic approach to zero coupling. We describe the low-energy behavior of metals in the universality class of the new fixed point, and discuss its possible application to the compressible ν = 1 2 quantum Hall state and to the normal state of copper-oxide superconductors.

Original languageEnglish (US)
Pages (from-to)359-373
Number of pages15
JournalNuclear Physics, Section B
Issue number3
StatePublished - Apr 18 1994
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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