Extended Gutzwiller wavefunction for the Hubbard-Holstein model

Abstract

We introduce a new type of Gutzwiller variational wavefunction for correlated electrons coupled to phonons, able to treat on equal footing electronic and lattice degrees of freedom. We benchmark the wavefunction in the infinite-$U$ Hubbard-Holstein model away from half-filling on a Bethe lattice, where we can directly compare with exact results by Dynamical Mean-Field Theory. For this model, we find that variational results agree perfectly well with the exact ones. In particular the wavefunction correctly describes the crossover to a heavy polaron gas upon increasing the electron-phonon coupling.

4 figures

References in corpus (18)

• Multi-band Gutzwiller wave functions for general on-site interactions
• Mobile small polaron
• Polaron in t-J model
• Variational description of Mott insulators
• Electron-phonon Interaction close to a Mott transition
• Phase Separation close to the density-driven Mott transition in the Hubbard-Holstein model
• Electron-phonon vertex in the two-dimensional one-band Hubbard model
• Optical absorption and single-particle excitations in the 2D Holstein t-J model
• Dynamic response functions for the Holstein-Hubbard model
• Synergistic Polaron Formation in the Hubbard-Holstein Model at Small Doping
• Dynamical mean-field theory of Hubbard-Holstein model at half-filling: Zero temperature metal-insulator and insulator-insulator transitions
• Relevance of phonon dynamics in strongly correlated systems coupled to phonons: A Dynamical Mean Field Theory analysis
• Apparent electron-phonon interaction in strongly correlated systems
• Mott-Peierls Transition in the extended Peierls-Hubbard model
• Properties of Gutzwiller wave-functions for multi-band models
• Small polaron formation in many-particle states of the Hubbard-Holstein model: The one-dimensional case
• Effects of the electron-phonon coupling near and within the insulating Mott phase
• Effective electron-phonon coupling and polaronic transition in the presence of strong correlation

Cited by in corpus (9)

• Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach
• Dynamical screening effects in correlated materials: plasmon satellites and spectral weight transfers from a Green's function ansatz to extended dynamical mean field theory
• Density-matrix embedding theory study of the one-dimensional Hubbard-Holstein model
• Electron-phonon interaction in Strongly Correlated Systems
• Variational Monte Carlo Method for Electron-Phonon Coupled Systems
• Superconductivity in the doped bilayer Hubbard model
• Gutzwiller scheme for electrons and phonons: the half-filled Hubbard-Holstein model
• DMRG analysis of the SDW-CDW crossover region in the 1D half-filled Hubbard-Holstein model
• Lattice and surface effects in the out-of-equilibrium dynamics of the Hubbard model