New Evidence for ``Confinement'' in Weakly Coupled Luttinger Liquids

Based upon the calculation of the exact interliquid hopping rate and an approximate single particle Green's function, we present new evidence for the existence of a phase of relevant but incoherent inter-Luttinger liquid transport. The incoherent phase occurs when the Luttinger liquid exponent $\alpha$ satisfies $\alpha_c<\alpha<1/2$. We argue that $\alpha_c<1/4$, and may be substantially smaller, especially in spin-charge separated Luttinger liquids. We also discuss connections with the work of others.