Exact Boundary Critical Exponents and Tunneling Effect in Integrable Models for Quantum Wires

Abstract

Using the principles of the conformal quantum field theory and the finite size corrections of the energy of the ground and various excited states, we calculate the boundary critical exponents of single- and multicomponent Bethe ansatz soluble models. The boundary critical exponents are given in terms of the dressed charge matrix which has the same form as that of systems with periodic boundary conditions and is uniquely determined by the Bethe ansatz equations. A Luttinger liquid with open boundaries is the effective low-energy theory of these models. As applications of the theory, the Friedel oscillations due to the boundaries and the tunneling conductance through a barrier are also calculated. The tunneling conductance is determined by a nonuniversal boundary exponent which governs its power law dependence on temperature and frequency.

REVTEX, submitted to PRB

References in corpus (4)

• One-Dimensional Fermi liquids
• Interacting one dimensional electron gas with open boundaries
• Boundary Effects on Spectral Properties of Interacting Electrons in One Dimension
• Exact Critical Exponents for Pseudo-Particles in the Kondo Problem

Cited by in corpus (26)

• Friedel Oscillations in the Open Hubbard Chain
• Exact Results for a Kondo Problem in One Dimensional t-J Model
• An Exactly Solvable Kondo Problem for Interacting One-Dimensional Fermions
• Exact solution of the open Heisenberg chain with two impurities
• Spectrum of boundary states in the open Hubbard chain
• Low-Energy Properties of a One-dimensional System of Interacting bosons with Boundaries
• Interacting spinless fermions in a diamond chain
• Integrabilities of the $t-J$ Model with Impurities
• Bounded Luttinger liquids as a universality class of quantum critical behavior
• Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
• Boundary susceptibility in the open XXZ-chain
• Luttinger model approach to interacting one-dimensional fermions in a harmonic trap
• Two-component Fermi gas in a one-dimensional harmonic trap
• Boundary effects on one-particle spectra of Luttinger liquids
• Treatment of backscattering in a gas of interacting fermions confined to a one-dimensional harmonic atom trap
• Friedel oscillations in a gas of interacting one-dimensional fermionic atoms confined in a harmonic trap
• Ghost spins and novel quantum critical behavior in a spin chain with local bond-deformation
• Surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary fields
• Scalar potential effect in an integrable Kondo model
• Fermi liquid features of the one-dimensional Luttinger liquid
• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• Renormalization group study of Luttinger liquids with boundaries
• Modulation structure of a frustrated spin ladder
• Pinning of slidding collective charge state in a 1D attractive fermion system
• Kondo effect in a quantum critical ferromagnet
• Enhancement of pair correlation in a one-dimensional hybridization model