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Non-Fermi Liquid Fixed Point in 2+1 Dimensions | | Chetan Nayak
; Frank Wilczek
; | | Date: |
7 Feb 1994 | | Journal: | Nucl.Phys. B417 (1994) 359-373 | | 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 ${1over{k^x}}$ 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 $
u={1over2}$ quantum Hall state and to the normal state of copper-oxide superconductors. | | Source: | arXiv, cond-mat/9312086 | | Services: | Forum | Review | PDF | Favorites | |
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