Periodic Anderson model with Holstein phonons for the description of the Cerium volume collapse

Abstract

Recent experiments have suggested that the electron-phonon coupling may play an important role in the $\gamma \to \alpha$ volume collapse transition in Cerium. A minimal model for the description of such transition is the periodic Anderson model. In order to better understand the effect of the electron-phonon interaction on the volume collapse transition, we study the periodic Anderson model with coupling between Holstein phonons and electrons in the conduction band. We find that the electron-phonon coupling enhances the volume collapse, which is consistent with experiments in Cerium. While we start with the Kondo Volume Collapse scenario in mind, our results capture some interesting features of the Mott scenario, such as a gap in the conduction electron spectra which grows with the effective electron-phonon coupling.

arXiv comment8 pages, 6 figures

References in corpus (28)

• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties
• Puzzle of the gamma-alpha and other phase transitions in cerium
• The Cerium volume collapse: Results from the LDA+DMFT approach
• The alpha-gamma transition of Cerium is entropy-driven
• The low-energy scale of the periodic Anderson model
• The alpha to gamma transition in Ce: a theoretical view from optical spectroscopy
• Thermodynamic and spectral properties of compressed Ce calculated by the merger of the local density approximation and dynamical mean field theory
• Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
• Gap formation and soft phonon mode in the Holstein model
• Volume-Collapse Transitions in the Rare Earth Metals
• The role of the lattice in the $\gamma \to \alpha$ phase transition of Ce: a high pressure neutron and x-ray diffraction study
• The $\gamma$-$\alpha$ iso-structural Transition in Cerium, a Critical Element
• Screened Coulomb interaction calculations: cRPA implementation and applications to dynamical screening and self-consistency in uranium dioxide and cerium
• Is the Mott transition relevant to f-electron metals ?
• Density-functional Theory for f electron Systems: the α-γ Phase Transition in Cerium
• A Self-consistent DFT+DMFT scheme in the Projector Augmented Wave : Applications to Cerium, Ce2O3 and Pu2O3 with the Hubbard I solver and comparison to DFT+U
• Similarities between the Hubbard and Periodic Anderson Models at Finite Temperatures
• Electronic Origin of the Volume Collapse in Cerium
• Magnetic phases in the correlated Kondo-lattice model
• Thermodynamics of the Quantum Critical Point at Finite Doping in the 2D Hubbard Model: A Dynamical Cluster Approximation Study
• $\alpha -\gamma$ transition in cerium: magnetic form factor and dynamic magnetic susceptibility in dynamical mean-field theory
• Orbital Dependent Electronic Masses in Ce Heavy Fermion Materials studied via Gutzwiller Density Functional Theory
• Quantum phase transitions in the extended periodic Anderson model
• Self-energy approach to the correlated Kondo-lattice model
• Thermodynamics of the $\alpha$-$\gamma$ transition in cerium studied by an LDA + Gutzwiller method
• Periodic Anderson model with electron-phonon correlated conduction band
• Magnetic properties of the extended periodic Anderson model