Abelian bosonization approach to quantum impurity problems

Abstract

Using Abelian Bosonization, we develop a simple and powerful method to calculate the correlation functions of the two channel Kondo model and its variants. The method can also be used to identify all the possible boundary fixed points and their maximum symmetry, to calculate straightforwardly the finite size spectra, to demonstrate the physical picture at the boundary explicitly. Comparisons with Non-Abelian Bosonization method are made. Some fixed points corresponding to 4 pieces of bulk fermions coupled to s=1/2 impurity are listed.

12 pages, REVTEX, 1 Table, no figures. To appear in Phys. Rev. Letts. July 21, 1997

References in corpus (5)

• On Emery-Kivelson line and universality of Wilson ratio of spin anisotropic Kondo model
• Prospects for Non--Fermi--Liquid Behavior of a Two Level Impurity in a Metal
• Overscreened Single Channel Kondo Problem
• Solution of two channel spin-flavor Kondo model
• Solution of effective Hamiltonian of impurity hopping between two sites in a metal

Cited by in corpus (17)

• Theory of inelastic scattering from magnetic impurities
• Simple Bosonization Solution of the 2-channel Kondo Model: I. Analytical Calculation of Finite-Size Crossover Spectrum
• Numerical renormalization group study of two-channel three-impurity triangular clusters
• Finite-Size Bosonization of 2-Channel Kondo Model: a Bridge between Numerical Renormalization Group and Conformal Field Theory
• The 2-Channel Kondo Model II: CFT Calculation of Non-Equilibrium Conductance through a Nanoconstriction containing 2-Channel Kondo Impurities
• Duality, Magnetic space group and their applications to quantum phases and phase transitions on bipartite lattices in several experimental systems
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Probing dynamics of Majorana fermions in quantum impurity systems
• Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields
• Hubbard model with Rashba or Dresselhaus spin-orbit coupling and Rotated Anti-ferromagnetic Heisenberg Model
• Classification of the quantum chaos in colored Sachdev-Ye-Kitaev models
• On two channel flavor anisotropic and one channel compactified Kondo models
• Two Magnetic Impurities with Arbitrary Spins in Open Boundary t-J Model
• High Chern number topological superfluids and new class of topological phase transitions of Rashba spin-orbit coupled fermions on a lattice
• Topological ground state degeneracy of the two-channel Kondo lattice
• Nearly order from quantum disorder phenomena and its observation in a bosonic quantum anomalous Hall system
• Quantum spin liquids in a square lattice subject to an Abelian flux