Two-dimensional anisotropic non-Fermi-liquid phase of coupled Luttinger liquids

Using bosonization techniques, we show that strong forward scattering inter actions between one-dimensional spinless Luttinger liquids CLL can stabiliz e a phase where charge-density wave, superconducting, and transverse single particle hopping perturbations are irrelevant. This new phase retains its U-like properties in the directions of the chains, but with relations betwe en exponents modified by the transverse interactions, whereas it is a perfe ct insulator in the transverse direction. The mechanism that stabilizes thi s phase is strong transverse charge-density wave fluctuations at incommensu rate wave vector, which frustrates crystal formation by preventing lock-in of the in-chain density waves. DOI: 10.1103/PhysRevLett.86.676.