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Existence of Low-Temperature Critical Regime in 1D Luttinger Liquid with a Weak Link

A. M. Tsvelik

cond-matarXiv:cond-mat/9502022

Abstract

The exact solution of the boundary sine-Gordon model is studied in the region where the scaling dimension of the boundary field 1 < Δ< 1. It is shown that at Δ> 2/3 the infrared fixed point belongs to the universality class of the underscreened anisotropic Kondo model. The boundary contribution to the specific heat scales as C T2Δ-1 - 2 at small temperatures.

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