Integrable versus Non-Integrable Spin Chain Impurity Models

Abstract

Recent renormalization group studies of impurities in spin-1/2 chains appear to be inconsistent with Bethe ansatz results for a special integrable model. We study this system in more detail around the integrable point in parameter space and argue that this integrable impurity model corresponds to a non-generic multi-critical point. Using previous results on impurities in half-integer spin chains, a consistent renormalization group flow and phase diagram is proposed.

20 pages 11 figures obtainable from authors, REVTEX 3.0

Cited by in corpus (24)

• Spin- and charge-density oscillations in spin chains and quantum wires
• Absence of backscattering at integrable impurities in one-dimensional quantum many-body systems
• Non-equilibrium quantum impurity problems via matrix-product states in the temporal domain
• Integrable impurity in the supersymmetric t-J model
• Exact solution of a t-J chain with impurity
• Fused integrable lattice models with quantum impurities and open boundaries
• Exact Boundary Critical Exponents and Tunneling Effect in Integrable Models for Quantum Wires
• Open t-J chain with boundary impurities
• Logarithmic Corrections in Quantum Impurity Problems
• Diamond chains with multiple-spin exchange interactions
• Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit
• Kondo effect in XXZ spin chains
• Sigma models in the presence of dynamical point-like defects
• Transport and scattering in inhomogeneous quantum wires
• Phase diagram of an impurity in the spin-1/2 chain: two channel Kondo effect versus Curie law
• Open su(4)-invariant spin ladder with boundary defects
• Ground-state phase diagram of the frustrated spin-1/2 two-leg honeycomb ladder
• Logarithmic corrections from ferromagnetic impurity ending bonds of open antiferromagnetic host chains
• Magnetic susceptibility and low-temperature specific-heat of integrable 1-D Hubbard model under open-boundary conditions
• Ghost spins and novel quantum critical behavior in a spin chain with local bond-deformation
• On the parafermionic scattering of an integrable Heisenberg model with impurity
• Exactly solvable quantum impurity model with inverse-square interactions
• Reply to the "Comment on 'Phase diagram of an impurity in the spin-1/2 chain: two channel Kondo effect versus Curie law'"
• Quantum impurity models from conformal field theory