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.

11 pages, 7 figures

References in corpus (11)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• The numerical renormalization group method for quantum impurity systems
• Theory of ferromagnetic (III,Mn)V semiconductors
• Continuous-Time Quantum Monte Carlo Method for the Coqblin-Schrieffer Model
• Evolution of a Large Fermi Surface in the Kondo Lattice
• Dynamical mean-field theory and numerical renormalization group study of superconductivity in the attractive Hubbard model
• Magnetic phases in the correlated Kondo-lattice model
• Convergence acceleration and stabilization for dynamical-mean-field-theory calculations
• Optimal broadening of finite energy spectra in the numerical renormalization group: application to dissipative dynamics in two-level systems
• Magnetic phase diagram of the Kondo lattice model with quantum localized spins
• The ground state magnetic phase diagram of the ferromagnetic Kondo-lattice model

Cited by in corpus (6)

• Unconventional Superconductivity from Local Spin Fluctuations in the Kondo Lattice
• Metamagnetism and Lifshitz Transitions in Models for Heavy Fermions
• Zooming in on heavy fermions in Kondo lattice models
• 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