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Non-Fermi Liquid Fixed Point in 2+1 Dimensions

Chetan Nayak·Frank Wilczek
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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 ${1\over{k^x}}$ 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 $ε$-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 $ν={1\over2}$ quantum Hall state and to the normal state of copper-oxide superconductors.

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Chetan Nayak, Frank Wilczek. 1994-02-21. Non-Fermi Liquid Fixed Point in 2+1 Dimensions. https://doi.org/10.1016/0550-3213(94)90477-4

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