Crossed sliding Luttinger liquid phase

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 $\stackrel{\ensuremath{\rightarrow}}{T}0.$ 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.