PHASES OF 2 COUPLED LUTTINGER LIQUIDS

A model of two interacting one-dimensional fermion systems (''Luttinge r liquids'') coupled by single-particle hopping is investigated. Boson ization allows a number of exact statements to be made. In particular, for forward scattering only, the model contains two massless boson se ctors and an Ising-type critical sector. For general repulsive interac tions, there is a spin excitation gap and either d-type pairing or orb ital antiferromagnetic fluctuations dominate. It is argued that the sa me behavior is also found for strong interactions. A possible scenario for the crossover to a Fermi Liquid in a many-chain system is discuss ed.