Doping-dependent study of the periodic Anderson model in three dimensions

Abstract

We study a simple model for $f$-electron systems, the three-dimensional periodic Anderson model, in which localized $f$ states hybridize with neighboring $d$ states. The $f$ states have a strong on-site repulsion which suppresses the double occupancy and can lead to the formation of a Mott-Hubbard insulator. When the hybridization between the $f$ and $d$ states increases, the effects of these strong electron correlations gradually diminish, giving rise to interesting phenomena on the way. We use the exact quantum Monte-Carlo, approximate diagrammatic fluctuation-exchange approximation, and mean-field Hartree-Fock methods to calculate the local moment, entropy, antiferromagnetic structure factor, singlet-correlator, and internal energy as a function of the $f-d$ hybridization for various dopings. Finally, we discuss the relevance of this work to the volume-collapse phenomenon experimentally observed in f-electron systems.

12 pages, 8 figures

References in corpus (6)

• The Cerium volume collapse: Results from the LDA+DMFT approach
• Detecting the Kondo screening cloud around a quantum dot
• Thermodynamic and spectral properties of compressed Ce calculated by the merger of the local density approximation and dynamical mean field theory
• The spectral and magnetic properties of $\alpha$- and $\gamma$-Ce from the Dynamical Mean-Field Theory and Local Density Approximation
• Ferromagnetism in the Strong Hybridization Regime of the Periodic Anderson Model
• Screened-interaction expansion for the Hubbard model and determination of the quantum Monte Carlo Fermi surface

Cited by in corpus (6)

• Combined local-density and dynamical mean field theory calculations for the compressed lanthanides Ce, Pr, and Nd
• Principal Component Analysis for Fermionic Critical Points
• Topological phase in $1D$ topological Kondo insulator: $Z_2$ topological insulator, Haldane-like phase and Kondo breakdown
• Learning quantum phase transitions through Topological Data Analysis
• Magnetic Correlations in a Periodic Anderson Model with Non-Uniform Conduction Electron Coordination
• Finite temperature physics of $1D$ topological Kondo insulator: Stable Haldane phase, Emergent energy scale and Beyond