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The Anderson-Holstein model is studied in the framework of the semiclassical approximation. Analytic results for Kondo temperature renormalized by weak electron-phonon interaction and for phonon Green function are obtained, and they are…

Strongly Correlated Electrons · Physics 2009-11-10 Hyun C. Lee , Han-Yong Choi

We investigate the interplay between the electron-electron and the electron-phonon interaction in the Hubbard-Holstein model. We implement the flow-equation method to investigate within this model the effect of correlation on the…

Strongly Correlated Electrons · Physics 2009-11-11 G. Aprea , C. Di Castro , M. Grilli , J. Lorenzana

We consider a one-dimensional system of electrons interacting via a short-range repulsion and coupled to phonons close to the metal-insulator transition at half filling. We argue that the metal-insulator transition can be described as a…

Condensed Matter · Physics 2015-06-25 M. Fabrizio , C. Castellani , C. Di Castro

Understanding of the energy exchange between electrons and phonons in metals is important for micro- and nano-manufacturing and system design. The electron-phonon (e-ph) coupling constant is to describe such exchange strength, yet its…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Wuli Miao , Moran Wang

We study the Hubbard-Holstein model using slave-boson mean-field and a variation al Lang-Firsov transformation. We identify weak and strong e-ph coupling solutions, whose stability depends both on the bare e-ph coupling and on the…

Strongly Correlated Electrons · Physics 2007-08-07 P. Barone , R. Raimondi , M. Capone , C. Castellani

We investigate the Fano-type line shape of the Ba mode of Y_{1-x}Ca_xBa_2Cu_3O_{6+y} films observed in Raman spectra with A_1g symmetry. The line shape is described with an extended Fano formula that allows us to obtain the bare phonon…

Superconductivity · Physics 2015-06-25 A. Bock , S. Ostertun , K. -O. Subke

An optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems is proposed. The variational method is based on an expansion in coherent states that leads to a dramatic truncation in the phonon space.…

Strongly Correlated Electrons · Physics 2009-11-10 V. Cataudella , G. De Filippis , F. Martone , C. A. Perroni

Phase diagram of the Hubbard-Holstein model in the coexistence of electron-electron and electron-phonon interactions has been theoretically obtained with the density-matrix renormalization group method for one-dimensional (1D) systems,…

Strongly Correlated Electrons · Physics 2008-01-16 Masaki Tezuka , Ryotaro Arita , Hideo Aoki

We have studied the lattice dynamics, electron-phonon coupling, and superconducting properties of $\alpha$-MoB$_2$, as a function of applied pressure, within the framework of density functional perturbation theory using a mixed-basis…

Superconductivity · Physics 2023-10-31 Marco-Antonio Carmona-Galván , Rolf Heid , Omar De la Peña-Seaman

A many-body coherent potential approximation (CPA) previously developed for the double exchange (DE) model is extended to include coupling to local quantum phonons. The Holstein-DE model studied (equal to the Holstein model for zero Hund…

Strongly Correlated Electrons · Physics 2009-10-31 A. C. M. Green

An asymptotically exact result is obtained for the renormalized phonon energy as a function of the on-site Coulomb repulsion $U_{ee}$ in the half-filled Hubbard-Holstein model in the strong-coupling region at zero temperature. The result is…

Condensed Matter · Physics 2009-10-30 Takashi Hotta , Yasutami Takada

The effect of electron-phonon interactions in the conductance through metallic atomic wires is theoretically analyzed. The proposed model allows to consider an atomic size region electrically and mechanically coupled to bulk electrodes. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. de la Vega , A. Martin-Rodero , N. Agrait , A. Levy Yeyati

The Hubbard-Holstein model describes fermions on a discrete lattice, with on-site repulsion between fermions and a coupling to phonons that are localized on sites. Generally, at half-filling, increasing the coupling $g$ to the phonons…

Strongly Correlated Electrons · Physics 2019-02-07 F. Hébert , Bo Xiao , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

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 $\gamma$-$\alpha$ transition in Ce,…

Strongly Correlated Electrons · Physics 2013-03-14 Peng Zhang , Peter Reis , Ka-Ming Tam , Mark Jarrell , Juana Moreno , Fakher Assaad , Andy McMahan

It is generally accepted that the dynamical mean field theory gives a good solution of the Holstein model, but only in dimensions greater than two. Here, we show that this theory, which becomes exact in the weak coupling and in the atomic…

Strongly Correlated Electrons · Physics 2022-08-24 Petar Mitrić , Veljko Janković , Nenad Vukmirović , Darko Tanasković

The Holstein model of spinless fermions interacting with dispersionless phonons in one dimension is studied by a Green's function Monte Carlo technique. The ground state energy, first fermionic excited state, density wave correlations, and…

Condensed Matter · Physics 2009-10-28 Ross H. McKenzie , C. J. Hamer , D. W. Murray

The normal state of the Holstein model is studied at half-filling in infinite dimensions and in the adiabatic regime. The dynamical mean-field equations are solved using perturbation expansions around the extremal paths of the effective…

Strongly Correlated Electrons · Physics 2009-10-31 Patrizia Benedetti , Roland Zeyher

The momentum-dependent local-ansatz (MLA) wavefunction describes well correlated electrons in solids in both the weak and strong interaction regimes. In order to apply the theory to the realistic system, we have extended the MLA to the…

Strongly Correlated Electrons · Physics 2015-08-11 Sumal Chandra , Yoshiro Kakehashi

In the spinless Holstein model at half-filling the coupling of electrons to phonons is responsible for a phase transition from a metallic state at small coupling to a Peierls distorted insulated state when the electron-phonon coupling…

Strongly Correlated Electrons · Physics 2007-05-23 S. Sykora , A. Huebsch , K. W. Becker

A model with Holstein-like electron-phonon coupling is studied in the limit of adiabatic phonons. The phonon distribution is anharmonic with two degenerate maxima. This model can be related to fermions in a correlated binary alloy and…

Strongly Correlated Electrons · Physics 2007-05-23 K. Ziegler , D. Schneider