Renormalization Group study of the Sliding Luttinger liquids

Abstract

We derive the RG-flow equations of the sliding Luttinger liquid perturbed by charge-density-wave (CDW) and superconducting (SC) operators. Using them we study the phase diagram of an array of XXZ spin chains coupled by Ising terms. In the weak coupling regime we find a new class of non-gaussian and unstable fixed points whose existence is due to a balance between the CDW, SC and sliding Luttinger couplings.