Non-Fermi Liquid Behavior In Quantum Critical Systems

Details Non-Fermi Liquid Behavior In Quantum Critical Systems Non-Fermi Liquid Behavior In Quantum Critical Systems

1993-09-28

arxiv.org/abs/cond-mat/9309044v1

Physics

Condensed Matter

9 pages in REVTEX 2.0. Submitted to Phys. Rev. Lett. 3 figures in postscript files can be obtained at anonymous@physics.ubc.ca

Scientific paper

10.1103/PhysRevLett.71.4226

The problem of an electron gas interacting via exchanging transverse gauge bosons is studied using the renormalization group method. The long wavelength behavior of the gauge field is shown to be in the Gaussian universality class with a dynamical exponent $z=3$ in dimensions $D \geq 2$. This implies that the gauge coupling constant is exactly marginal. Scattering of the electrons by the gauge mode leads to non-Fermi liquid behavior in $D \leq 3$. The asymptotic electron and gauge Green's functions, interaction vertex, specific heat and resistivity are presented.

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