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New Evidence for ``Confined Coherence'' in Weakly Coupled Luttinger Liquids

David Clarke·Steven Strong
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Abstract

On the basis of a 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. This phase of ``confined coherence'' occurs when the Luttinger liquid exponent alpha satisfies alpha_c<alpha<1/2. We argue that alpha_c is strictly bounded above by 1/4, and is probably substantially smaller, especially in spin-charge separated Luttinger liquids. We also discuss connections with the work of others.

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David Clarke, Steven Strong. 1997-09-11. New Evidence for ``Confined Coherence'' in Weakly Coupled Luttinger Liquids. https://doi.org/10.1088/0953-8984%2F9%2F19%2F006

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