The Kondo effect in the presence of Van Hove singularities: A numerical renormalization group study

Abstract

A numerical renormalization group (NRG) investigation of the one-centre $t-t^{\prime }$ Kondo problem is performed for the square lattice with account of logarithmic Van Hove singularities (VHS) in the electron density of states. The magnetic susceptibility, entropy and specific heat are calculated. The temperature dependences of the thermodynamic properties in the presence of VHS turn out to be non-trivial. For finite $t^{\prime }$ inverse logarithm of the corresponding Kondo temperature $T_K$ demonstrates a crossover from the square-root to standard linear dependence on the $s-d$ exchange coupling. The low-temperature behavior of magnetic susceptibility and linear specific heat are investigated, and the Wilson ratio is obtained. For $t^{\prime }->0$ the Fermi-liquid behavior is broken.

13 pages, 10 figures

References in corpus (6)

• The numerical renormalization group method for quantum impurity systems
• Tuning Kondo physics in Graphene with gate voltage
• CeRuPO: A rare example of a Ferromagnetic Kondo lattice
• Fermi surface and van Hove singularities in the itinerant metamagnet Sr3Ru2O7
• Layered Kondo lattice model for quantum critical beta-YbAlB4
• Commensurate Antiferromagnetism in CePt2In7, a Nearly Two-Dimensional Heavy Fermion System

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