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Theory of Quantum Hall Nematics

Leo Radzihovsky·Alan T. Dorsey
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Abstract

Transport measurements on two dimensional electron systems in moderate magnetic fields suggest the existence of a spontaneously orientationally-ordered, compressible liquid state. We develop and analyze a microscopic theory of such a ``quantum Hall nematic'' (QHN) phase, predict the existence of a novel, highly anisotropic $q^3$ density-director mode, find that the T=0 long-range orientational order is unstable to weak disorder, and compute the tunneling into such a strongly correlated state. This microscopic approach is supported and complemented by a hydrodynamic model of the QHN, which, in the dissipationless limit, reproduces the modes of the microscopic model.

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Leo Radzihovsky, Alan T. Dorsey. 2001-10-04. Theory of Quantum Hall Nematics. https://doi.org/10.1103/physrevlett.88.216802

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