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The role of the electron-phonon interaction in the Holstein-Hubbard model is investigated in the metallic phase close to the Mott transition and in the insulating Mott phase. The model is studied by means of a variational slave boson…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Perroni , V. Cataudella , G. De Filippis , V. Marigliano Ramaglia

The dynamical interplay between electron-electron interactions and electron-phonon coupling is investigated within the Anderson-Holstein model, a minimal model for open quantum systems that embody these effects. The influence of phonons on…

Strongly Correlated Electrons · Physics 2016-05-25 Hsing-Ta Chen , Guy Cohen , Andrew J. Millis , David R. Reichman

The evolution of the properties of a finite density electronic system as the electron-phonon coupling is increased are investigated in the Holstein model using the Dynamical Mean-Field Theory (DMFT). We compare the spinless fermion case, in…

Strongly Correlated Electrons · Physics 2025-12-12 M. Capone , P. Carta , S. Ciuchi

We study the relaxation of the Holstein model after a sudden switch-on of the interaction by means of the nonequilibrium dynamical mean field theory, with the self-consistent Migdal approximation as an impurity solver. We show that there…

Strongly Correlated Electrons · Physics 2015-01-22 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki

We study the Hubbard-Holstein model, which includes both the electron-electron and electron-phonon interactions characterized by $U$ and $g$, respectively, employing the dynamical mean-field theory combined with Wilson's numerical…

Strongly Correlated Electrons · Physics 2009-11-10 Gun Sang Jeon , Tae-Ho Park , Jung Hoon Han , Hyun C. Lee , Han-Yong Choi

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 discuss a semiclassical approach to solve the quantum impurity model within non-equilibrium dynamical mean-field theory for electron-lattice models. The effect of electronic fluctuations on the phonon is kept beyond Ehrenfest dynamics,…

Strongly Correlated Electrons · Physics 2023-07-11 Antonio Picano , Francesco Grandi , Philipp Werner , Martin Eckstein

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

We use the Kotliar-Ruckenstein slave boson technique to treat the strong correlation of the Hubbard model. In a first part we discuss the metal to insulator transition that is occurring on the honeycomb lattice at half filling. We find the…

Condensed Matter · Physics 2007-05-23 Raymond Fresard , Klaus Doll

A method for the study of the electronic transport in strongly coupled electron-phonon systems is formalized and applied to a model of polyyne chains biased through metallic Au leads. We derive a stationary non equilibrium polaronic theory…

Mesoscale and Nanoscale Physics · Physics 2009-09-09 A. La Magna , I. Deretzis , V. Privitera

The infinite-$U$ Anderson-Holstein impurity model is studied with a focus on the interplay between the strong electron correlation and the weak electron-phonon interaction. The slave boson method has been employed in combination with the…

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

We present a dynamical mean-field study of the nonperturbative electronic mechanisms, which may lead to significant enhancements of the electron-phonon coupling in correlated electron systems. Analyzing the effects of electronic…

Strongly Correlated Electrons · Physics 2026-03-31 Emin Moghadas , Matthias Reitner , Tim Wehling , Giorgio Sangiovanni , Sergio Ciuchi , Alessandro Toschi

We present a method for solving impurity models with electron-phonon coupling, which treats the phonons efficiently and without approximations. The algorithm is applied to the Holstein-Hubbard model in the dynamical mean field…

Strongly Correlated Electrons · Physics 2009-11-13 Philipp Werner , Andrew J. Millis

The Hubbard-Holstein model is one of the central models that describe the competition between electron-electron and electron-phonon interactions. In one dimension and at half-filling, the interplay between an electronic spin-density wave…

Strongly Correlated Electrons · Physics 2024-12-19 Manuel Weber

We present results on the dynamical correlation functions of the particle-hole symmetric Holstein-Hubbard model at zero temperature, calculated using the dynamical mean field theory which is solved by the numerical renormalization group…

Strongly Correlated Electrons · Physics 2009-11-10 W. Koller , D. Meyer , A. C. Hewson

The nonequilibrium dynamics of a quantum dot with electron-phonon interactions described by a generalized Holstein model is presented. A combination of methodologies including the reduced density matrix formalism, the multilayer…

Strongly Correlated Electrons · Physics 2015-06-18 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

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 investigate the nonequilibrium dynamics of the weak-coupling Hubbard-Holstein model after a sudden switch-on of the electron-phonon interaction within nonequilibrium dynamical mean-field theory (DMFT). Using the self-consistent Migdal…

Strongly Correlated Electrons · Physics 2026-04-14 Antonio Picano , Marco Schiro

We study the one-dimensional Holstein model with spin-1/2 electrons at half-filling. Ground state properties are calculated for long chains with great accuracy using the density matrix renormalization group method and extrapolated to the…

Condensed Matter · Physics 2009-10-31 Eric Jeckelmann , Chunli Zhang , Steven R. White

We re-examine the Peierls insulator to Mott insulator transition scenario in the one-dimensional Holstein-Hubbard model where, at half-filling, electron-phonon and electron-electron interactions compete for establishing charge- and…

Strongly Correlated Electrons · Physics 2009-11-13 H. Fehske , G. Hager , J. Jeckelmann
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