Existence of low-temperature critical regime in a one-dimensional Luttinger liquid with a weak link

The exact solution of the boundary sine-Gordon model is studied in the region where the scaling dimension of the boundary field 2/3< Delta <1. The boundary contribution to the specific heat in this region scales as C~T(2 Delta -1-2) at small temperatures.

[1]  Tsvelik,et al.  Anisotropic spin-1/2 Heisenberg chain with open boundary conditions. , 1995, Physical review. B, Condensed matter.

[2]  Tsvelik.  Toulouse limit of the multichannel Kondo model. , 1995, Physical Review B (Condensed Matter).

[3]  Matveev.  Coulomb blockade at almost perfect transmission. , 1994, Physical review. B, Condensed matter.

[4]  Fabrizio,et al.  Toulouse limit for the overscreened four-channel Kondo problem. , 1994, Physical review. B, Condensed matter.

[5]  A. Zamolodchikov,et al.  Boundary S matrix and boundary state in two-dimensional integrable quantum field theory , 1993, hep-th/9306002.

[6]  Fisher,et al.  Transmission through barriers and resonant tunneling in an interacting one-dimensional electron gas. , 1992, Physical review. B, Condensed matter.

[7]  Fisher,et al.  Transport in a one-channel Luttinger liquid. , 1992, Physical review letters.

[8]  A. Ludwig,et al.  Critical theory of overscreened Kondo fixed points , 1991 .

[9]  Guinea,et al.  Dynamics of a particle in an external potential interacting with a dissipative environment. , 1985, Physical review. B, Condensed matter.

[10]  Fisher,et al.  Quantum Brownian motion in a periodic potential. , 1985, Physical review. B, Condensed matter.

[11]  A. M. Tsvelick.  The thermodynamics of multichannel Kondo problem , 1985 .

[12]  P. Wiegmann.  On the theory of nonabelian goldstone bosons in two dimensions; exact solution of the SU(N) ⊗ SU(N) nonlinear σ model , 1984 .

[13]  A. Schmid.  Diffusion and Localization in a Dissipative Quantum System , 1983 .

[14]  M. Suzuki,et al.  One-Dimensional Anisotropic Heisenberg Model at Finite Temperatures , 1972 .