Quantum theory of a nematic Fermi fluid

Vadim Oganesyan, Steven A. Kivelson, and Eduardo Fradkin
Phys. Rev. B 64, 195109 – Published 17 October 2001
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Abstract

We develop a microscopic theory of the electronic nematic phase proximate to an isotropic Fermi liquid in both two and three dimensions. Explicit expressions are obtained for the small amplitude collective excitations in the ordered state; remarkably, the nematic Goldstone mode (the director wave) is overdamped except along special directions dictated by symmetry. At the quantum critical point we find a dynamical exponent of z=3, implying stability of the Gaussian fixed point. The leading perturbative effect of the overdamped Goldstone modes leads to a breakdown of Fermi-liquid theory in the nematic phase and to strongly angle-dependent electronic self energies around the Fermi surface. Other metallic liquid-crystal phases, e.g., a quantum hexatic, behave analogously.

  • Received 7 February 2001

DOI:https://doi.org/10.1103/PhysRevB.64.195109

©2001 American Physical Society

Authors & Affiliations

Vadim Oganesyan1, Steven A. Kivelson1, and Eduardo Fradkin2

  • 1Department of Physics, U. C. L. A., Los Angeles, California 90095
  • 2Department of Physics, University of Illinois, Urbana, Illinois 61801

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Issue

Vol. 64, Iss. 19 — 15 November 2001

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