Exact Critical Properties of the Multi-Component Interacting Fermion Model with Boundaries

Abstract

Exact critical properties of the one-dimensional SU($N$) interacting fermion model with open boundaries are studied by using the Bethe ansatz method. We derive the surface critical exponents of various correlation functions using boundary conformal field theory. They are classified into two types, i.e. the exponents for the chiral SU($N$) Tomonaga-Luttinger liquid and those related to the orthogonality catastrophe. We discuss a possible application of the results to the photoemission (absorption) in the edge state of the fractional quantum Hall effect.

17 pages, RevTex

References in corpus (7)

• The Fermi Edge Singularity and Boundary Condition Changing Operators
• Fermi Edge Singularities and Backscattering in a Weakly Interacting 1D Electron Gas
• Fermi-Edge Singularity with Backscattering in the Luttinger-Liquid Model
• Critical exponents of the degenerate Hubbard model
• Microscopic Calculations of the Finite-Size Spectrum in the Kondo Problem
• Exact Critical Exponents for Pseudo-Particles in the Kondo Problem
• Critical Properties of the Calogero-Sutherland Model with Boundaries

Cited by in corpus (12)

• Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
• Competition of random and periodic potentials in interacting fermionic systems and classical equivalents: the Mott Glass
• Spectrum of boundary states in the open Hubbard chain
• A possible new phase of commensurate insulators with disorder: the Mott Glass
• Bounded Luttinger liquids as a universality class of quantum critical behavior
• Collapse of Charge Gap in Random Mott Insulators
• Spinless impurities and Kondo-like behavior in strongly correlated electron systems
• Effects of disorder on two coupled Hubbard chains at half-filling
• Effects of randomness on the antiferromagnetic spin-1 chain
• Critical Properties in Photoemmision Spectra for One Dimensional Orbitally Degenerate Mott Insulator
• Quantum phase transitions and collapse of the Mott gap in the $d=1+\epsilon$ dimensional half-filled Hubbard model
• Dynamically Induced Multi-Channel Kondo Effect