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

Abstract

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

6 pages, latex, no figures

References in corpus (4)

• Coulomb blockade at almost perfect transmission
• Toulouse limit for the overscreened four-channel Kondo problem
• Anisotropic Spin-1/2 Heisenberg Chain with Open Boundary Conditions
• The Toulose limit of the Multi-Channel Kondo model.

Cited by in corpus (6)

• The Supersymmetric t-J Model with a Boundary
• A unified framework for the Kondo problem and for an impurity in a Luttinger liquid
• Integrable impurity in the supersymmetric t-J model
• Exact solution of a t-J chain with impurity
• Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems
• Boundary Kondo impurities in the generalized supersymmetric t-J model