Scaling and criticality of the Kondo effect in a Luttinger liquid

Abstract

A quantum Monte Carlo simulation method has been developed and applied to study the critical behavior of a single Kondo impurity in a Luttinger liquid. This numerically exact method has no finite-size limitations and allows to simulate the whole temperature range. Focusing on the impurity magnetic susceptibility, we determine the scaling functions, in particular for temperatures well below the Kondo temperature. In the absence of elastic potential scattering, we find Fermi-liquid behavior for strong electron-electron interactions, g_c < 1/2, and anomalous power laws for 1/2<g_c < 1, where g_c is the correlation parameter of the Luttinger liquid. These findings resolve a recent controversy. If elastic potential scattering is present, we find a logarithmically divergent impurity susceptibility at g_c<1/2 which can be rationalized in terms of the two-channel Kondo model.

11 pages REVTeX, incl. 9 PS figures, subm. to PRB

References in corpus (3)

• Scaling and universality in the anisotropic Kondo model and the dissipative two-state system
• Low-temperature behavior of a Magnetic Impurity in a Heisenberg Chain
• Multichannel Kondo Effect in an Interacting Electron System: Exact Results for the Low-Temperature Thermodynamics

Cited by in corpus (21)

• ${\mathbb{Z}}_4$ Parafermions in an interacting quantum spin Hall Josephson junction coupled to an impurity spin
• Kondo Impurities Coupled to Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
• Kondo effect in XXZ spin chains
• Kondo Problems in Tomonaga-Luttinger liquids
• Numerical Renormalization Group at marginal spectral density: application to quantum tunneling in Luttinger liquids
• Numerical study of transport through a single impurity in a spinful Tomonaga-Luttinger liquid
• Chiral Y junction of quantum spin chains
• Quench dynamics and relaxation of a spin coupled to interacting leads
• Renormalization group study of the Kondo problem at a junction of several Luttinger wires
• Measuring Luttinger Liquid Correlations from Charge Fluctuations in a Nanoscale Structure
• Quantum transport in coupled Majorana box systems
• Edge modes and boundary impurities in the anisotropic Heisenberg spin chain
• Scalar potential effect in an integrable Kondo model
• Anderson-like impurity in the one-dimensional t-J model: formation of local states and magnetic behaviour
• Single-impurity Kondo physics at extreme particle-hole asymmetry
• A multi-channel fixed point for a Kondo spin coupled to a junction of Luttinger liquids
• RKKY to Kondo crossover in Helical Edge of a Topological Insulator
• Ferromagnetic Fixed Point of the Kondo Model in a Luttinger Liquid
• Metal-Kondo insulating transitions and transport in one dimension
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Interplay between a quantum impurity and a boundary field in the SUSY t-J model