Low-energy properties of the Kondo lattice model

Abstract

We study the zero-temperature properties of the Kondo lattice model within the dynamical mean-field theory. As impurity solver we use the numerical renormalization group. We present results for the paramagnetic case showing the anticipated heavy Fermion physics, including direct evidence for the appearance of a large Fermi surface for antiferromagnetic exchange interaction. Allowing for the formation of a Neel state, we observe at finite doping an antiferromagnetic metal below a critical exchange interaction, which shows a crossover from a local-moment antiferromagnet with a small Fermi surface for weak exchange coupling to a heavy-fermion antiferromagnet with a large Fermi surface for increasing exchange. Including lattice degrees of freedom via an additional Holstein term we observe a significant suppression of the Kondo effect, leading to strongly reduced lowenergy scale. For too large electron-phonon coupling we find a complete collaps of the heavy Fermi liquid and the formation of polarons.

arXiv comment11 pages, 7 figures

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Cited by in corpus (12)

• Unconventional Superconductivity from Local Spin Fluctuations in the Kondo Lattice
• Metamagnetism and Lifshitz Transitions in Models for Heavy Fermions
• Relation between exceptional points and the Kondo effect in $f$-electron materials
• Large and Small Fermi-Surface Spin Density Waves in the Kondo Lattice Model
• Finite-temperature spectra and quasiparticle interference in Kondo lattices: From light electrons to coherent heavy quasiparticles
• Zooming in on heavy fermions in Kondo lattice models
• Kondo effect in f-electron superlattices
• Competition of striped magnetic order and partial Kondo screened state in the Kondo lattice model
• Periodic Anderson model with electron-phonon correlated conduction band
• Fine structure of spectra in the antiferromagnetic phase of the Kondo lattice model
• Schwinger boson approach for the dynamical mean-field theory of the Kondo lattice
• The surface density of states of layered {\it f}-electron materials