One- and two-channel Kondo model with logarithmic Van Hove singularity: a numerical renormalization group solution

Abstract

Simple scaling consideration and NRG solution of the one- and two-channel Kondo model in the presence of a logarithmic Van Hove singularity at the Fermi level is given. The temperature dependences of local and impurity magnetic susceptibility and impurity entropy are calculated. The low-temperature behavior of the impurity susceptibility and impurity entropy turns out to be non-universal in the Kondo sense and independent of the $s-d$ coupling $J$. The resonant level model solution in the strong coupling regime confirms the NRG results. In the two-channel case the local susceptibility demonstrates a non-Fermi-liquid power-law behavior.

Final version, Physics Letters A

References in corpus (5)

• The numerical renormalization group method for quantum impurity systems
• Observation of the two-channel Kondo effect
• Nonperturbative Scaling Theory of Free Magnetic Moment Phases in Disordered Metals
• Probing a divergent van Hove singularity of graphene with a Ca${}_2$N support: a layered electride as a solid-state dopant
• Kondo effect at low electron density and high particle-hole asymmetry in 1D, 2D, and 3D