Crossover Temperature from Non-Fermi Liquid to Fermi Liquid Behavior in Two Types of Impurity Kondo Model

Abstract

Numerical renormalization-group results on entropy of the anisotropic two-channel Kondo model with the band-width cutoff ($D$) in the presence of a magnetic field ($h$) are obtained to determine crossover temperature from the non-Fermi liquid to Fermi liquid fixed point. It is found that the crossover temperature ($T_{\mathrm{x}}$) is given by $T_{\mathrm{x}}\equiv r{T}_{\mathrm{K}}\sim D(\Delta J/J_{\mathrm{av}}{)}^2{e}^{-1/J_{\mathrm{av}}}$ when $(h/T_{\mathrm{K}}{)}^2\ll r\ll 1$, where $T_{\mathrm{K}}$, $J_{\mathrm{av}}$ and $\Delta J$ are the Kondo temperature, the average and difference of the exchange coupling constants, respectively. This result indicates that non-Fermi liquid behavior can be seen even if $\Delta J>T_{\mathrm{K}}$. Robust similarities of the crossover behavior in the region around the non-Fermi liquid critical point to that of the two-impurity Kondo model are also discussed.

15pages, 9figures

References in corpus (2)

• Non-Fermi Liquid Behavior of U-impurity with $f^2$-Singlet Ground State
• Singular Effects of Impurities near the Ferromagnetic Quantum-Critical Point

Cited by in corpus (8)

• The numerical renormalization group method for quantum impurity systems
• Quadrupole-Driven Non-Fermi Liquid and Magnetic-Field Induced Heavy Fermion States in a Non-Kramers Doublet System
• Universal low-temperature crossover in two-channel Kondo models
• Entanglement structure of the two-channel Kondo model
• Anisotropic B-T Phase Diagram of Non-Kramers System PrRh2Zn20
• Magnetic Field Effect on Crossover Temperature from Non-Fermi Liquid to Fermi Liquid Behavior in f^2-Impurity Systems with Crystalline-Electric-Field Singlet State Competing with Kondo-Yosida Singlet State
• Competition between Quadrupole and Magnetic Kondo Effects in Non-Kramers Doublet Systems
• Dynamical correlations in the spin-half two-channel Kondo model