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A Crossed Sliding Luttinger Liquid Phase

Ranjan Mukhopadhyay·C. L. Kane·T. C. Lubensky
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Abstract

We study a system of crossed spin-gapped and gapless Luttinger liquids. We establish the existence of a stable non-Fermi liquid state with a finite-temperature,long-wavelength, isotropic electric conductivity that diverges as a power law in temperature $T$ as $T\to 0$. This two-dimensional system has many properties characteristic of a true isotropic Luttinger liquid, though at zero temperature it becomes anisotropic. This model can easily be extended to three dimensions.

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Ranjan Mukhopadhyay, C. L. Kane, T. C. Lubensky. 2000-11-29. A Crossed Sliding Luttinger Liquid Phase. https://doi.org/10.1103/physrevb.63.081103

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