English

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

Condensed Matter 2009-10-28 v2

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.

Keywords

Cite

@article{arxiv.cond-mat/9607141,
  title  = {New Evidence for ``Confined Coherence'' in Weakly Coupled Luttinger Liquids},
  author = {David Clarke and Steven Strong},
  journal= {arXiv preprint arXiv:cond-mat/9607141},
  year   = {2009}
}

Comments

Final published version - replaces original. RevTeX, 1 postscript figure. Part of the revision was stimulated by comments of K. Schonhammer, gratefully acknowledged