We analyze the ground-state properties of strongly correlated electrons coupled with phonons by means of a generalized Gutzwiller wave function, which includes phononic degrees of freedom. We study in detail the paramagnetic half-filled Hubbard-Holstein model, where the electron-electron interaction can lead to a Mott transition and the electron-phonon coupling to a bipolaronic transition. We critically discuss the quality of the proposed wave function in describing the various transitions and crossovers that occur as a function of the parameters. Previous variational attempts are recovered as particular choices of the wave function, while keeping all the variational freedom allows to access regions of the phase diagram, otherwise inaccessible within previous variational approaches. RI Raimondi, Roberto/C-7176-2009; Capone, Massimo/A-7762-2008; Barone, Paolo/C-8918-2011

Gutzwiller scheme for electrons and phonons: the half-filled Hubbard-Holstein model / Barone, P; Raimondi, R; Capone, Massimo; Castellani, C; Fabrizio, Michele. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 77:23(2008). [10.1103/PhysRevB.77.235115]

Gutzwiller scheme for electrons and phonons: the half-filled Hubbard-Holstein model

Capone, Massimo;Fabrizio, Michele
2008-01-01

Abstract

We analyze the ground-state properties of strongly correlated electrons coupled with phonons by means of a generalized Gutzwiller wave function, which includes phononic degrees of freedom. We study in detail the paramagnetic half-filled Hubbard-Holstein model, where the electron-electron interaction can lead to a Mott transition and the electron-phonon coupling to a bipolaronic transition. We critically discuss the quality of the proposed wave function in describing the various transitions and crossovers that occur as a function of the parameters. Previous variational attempts are recovered as particular choices of the wave function, while keeping all the variational freedom allows to access regions of the phase diagram, otherwise inaccessible within previous variational approaches. RI Raimondi, Roberto/C-7176-2009; Capone, Massimo/A-7762-2008; Barone, Paolo/C-8918-2011
2008
77
23
235115
Barone, P; Raimondi, R; Capone, Massimo; Castellani, C; Fabrizio, Michele
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/14650
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