Quantum Theory of a Nematic Fermi Fluid

Details Quantum Theory of a Nematic Fermi Fluid Quantum Theory of a Nematic Fermi Fluid

2001-02-06

arxiv.org/abs/cond-mat/0102093v2

Phys. Rev. B 64, 195109 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 1 figure

Scientific paper

10.1103/PhysRevB.64.195109

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 directorwave) 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, {\it e. g.} a quantum hexatic, behave analogously.

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