Periodic Anderson model with electron-phonon correlated conduction band
arXiv:1209.0795 · doi:10.1103/PhysRevB.87.121102
Abstract
This paper reports dynamical mean field calculations for the periodic Anderson model in which the conduction band is coupled to phonons. Motivated in part by recent attention to the role of phonons in the - transition in Ce, this model yields a rich and unexpected phase diagram which is of intrinsic interest. Specifically, above a critical value of the electron-phonon interaction, a first order transition with two coexisting phases develops in the temperature-hybridization plane, which terminates at a second order critical point. The coexisting phases display the familiar Kondo screened and local moment character, yet they also exhibit pronounced polaronic and bipolaronic properties, respectively.
4 pages, 6 figures
References in corpus (19)
- Continuous Time Quantum Monte Carlo method for fermions
- Efficient DMFT-simulation of the Holstein-Hubbard Model
- Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
- The role of the lattice in the phase transition of Ce: a high pressure neutron and x-ray diffraction study
- Phase Separation close to the density-driven Mott transition in the Hubbard-Holstein model
- First- and Second Order Phase Transitions in the Holstein-Hubbard Model
- Is the Mott transition relevant to f-electron metals ?
- Phonon softening and double-well potential formation due to electron-phonon interaction in heavy-fermion systems
- Similarities between the Hubbard and Periodic Anderson Models at Finite Temperatures
- Exact Insulating and Conducting Ground States of a Periodic Anderson Model in Three Dimensions
- Magnetic and Thermodynamic Properties of the Three-Dimensional Periodic Anderson Hamiltonian
- Polaron Crossover and Bipolaronic Metal-Insulator Transition in the Holstein model at half-filling
- Polaronic Quasiparticles in a Strongly Correlated Electron Band
- Enhanced Kondo Effect in an Electron System Dynamically Coupled with Local Optical Phonon
- Dynamical Mean-Field Theory of Electron-Phonon Interactions in Correlated Systems: Application to Isotope Effects on Electronic Properties
- Electron-Phonon Interactions in Correlated Systems: Adiabatic Expansion of the Dynamical Mean-Field Theory
- Phonons and the coherence scale of models of heavy fermions
- Low-energy properties of the Kondo lattice model
- Phase diagram of Holstein-Kondo lattice model at half-filling
Cited by in corpus (7)
- A multi-orbital iterated perturbation theory for model Hamiltonians and real material-specific calculations of correlated systems
- Effects of an Additional Conduction Band on Singlet-Antiferromagnet Competition in the Periodic Anderson Model
- Inelastic electron tunneling spectroscopy for probing strongly correlated many-body systems by scanning tunneling microscopy
- Superconducting Kondo phase in an orbitally-separated bilayer
- Protracted Kondo coherence with dilute carrier density in Cerium based nickel pnictides
- Schwinger-Dyson Equation Method to Calculate Total Energy in Periodic Anderson Model with Electron-Phonon Interactions
- Periodic Anderson model with Holstein phonons for the description of the Cerium volume collapse