Non-Fermi Liquid Fixed Point in 2+1 Dimensions

Abstract

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 fluctations are controlled through a $\frac{1}{k^x}$ 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 $\epsilon$-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 $\nu =\frac{1}{2}$ quantum Hall state and to the normal state of copper-oxide superconductors.

24 pages, 2 figures uuencoded at end, use Phyzzx and epsf, PUPT 1438, IASSNS-HEP 93/89

References in corpus (1)

• Renormalization Group Approach to Interacting Fermions

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