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The polaron features for long-range electron-phonon interaction are investigated by extending a variational approach previously proposed for the study of systems with local coupling. The ground-state spectral weight, the average kinetic…

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

We consider the Hubbard-Holstein model in the adiabatic limit to investigate the effects of electron-electron interactions on the electron-phonon coupling. To this aim we compute at any momentum and filling the static charge susceptibility…

Strongly Correlated Electrons · Physics 2009-11-13 A. Di Ciolo , J. Lorenzana , M. Grilli , G. Seibold

A single electron in one dimensional lattice is considered within the framework of extended Holstein model at strong-coupling limit. Disordered density-displacement type electron-phonon interaction is proposed. Basic parameters of small…

Strongly Correlated Electrons · Physics 2014-08-21 Bakhrom Yavidov

Two-site single electron system interacting with many vibrating ions of a lattice via a long-range (Fr\"{o}hlich) electron-phonon interaction is studied in the adiabatic regime. The renormalised hopping integral of small adiabatic…

Condensed Matter · Physics 2009-11-10 A. S. Alexandrov , B. Ya. Yavidov

We adapt a variational procedure to calculate ground state properties of the Holstein model in the adiabatic limit. At strong coupling, this adaption leads to rapid convergence of results. The intermediate coupling regime is further handled…

Strongly Correlated Electrons · Physics 2010-03-10 Zhou Li , D. Baillie , C. Blois , F. Marsiglio

A new numerical method is proposed for determining the low-frequency dynamics of the charge carrier coupled to the deformable quantum lattice. As an example, the polaron band structure is calculated for the one-dimensional Holstein model.…

Strongly Correlated Electrons · Physics 2009-11-11 O. S. Barisic

A variational approach is proposed to determine some properties of the adiabatic Holstein-Hubbard model which describes the interactions between a static atomic lattice and an assembly of fermionic charge carriers. The sum of the electronic…

Strongly Correlated Electrons · Physics 2007-05-23 Laurent Proville , S. Aubry

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

We study, at zero temperature, the dynamics of a single electron in a Holstein model augmented by site-diagonal, binary-alloy type disorder. The average over the phonon vacuum and the alloy configurations is performed within a generalized…

Strongly Correlated Electrons · Physics 2009-11-07 F. X. Bronold , A. Saxena , A. R. Bishop

The polaron features due to electron-phonon interactions with different coupling ranges are investigated by adopting a variational approach. The ground-state energy, the spectral weight, the average kinetic energy, the mean number of…

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

We use determinant quantum Monte Carlo to study the single particle properties of quasiparticles and phonons in a variant of the two-dimensional Holstein model that includes an additional non-linear electron-phonon (e-ph) interaction. We…

Superconductivity · Physics 2015-08-12 Shaozhi Li , E. A. Nowadnick , S. Johnston

We investigate two equivalent capacitively and tunnel coupled quantum dots, each coupled to its own pair of leads. Local Holstein type electron-phonon coupling at the dots is assumed. To study many-body effects we use the finite-U…

Mesoscale and Nanoscale Physics · Physics 2023-11-20 D. Krychowski , S. Lipiński

Dynamical mean-field theory computations of the electron self energy of the Hubbard-Holstein model as a function of electron-phonon and electron-electron interactions are analyzed to gain insight into the dependence of electron-phonon…

Strongly Correlated Electrons · Physics 2025-05-14 Jennifer Coulter , Andrew J. Millis

We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest…

Strongly Correlated Electrons · Physics 2009-10-31 J. Bonca , S. A. Trugman , I. Batistic

We study the effects of lattice type on polaron dynamics using a continuous-time quantum Monte-Carlo approach. Holstein and screened Froehlich polarons are simulated on a number of different Bravais lattices. The effective mass, isotope…

Strongly Correlated Electrons · Physics 2009-11-11 J. P. Hague , P. E. Kornilovitch , A. S. Alexandrov , J. H. Samson

When an electron interacts with phonons, the electron can exhibit either free electron-like or polaron-like properties. The latter tends to occur for very strong coupling, and results in a phonon cloud accompanying the electron as it moves,…

Superconductivity · Physics 2012-11-21 Zhou Li , F. Marsiglio

We consider a polaron model where molecular \emph{rotations} are important. Here, the usual hopping between neighboring sites is affected directly by the electron-phonon interaction via a {\em twist-dependent} hopping amplitude. This model…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Wei Zhang , Alexander O. Govorov , Sergio E. Ulloa

The hopping of an electron, interacting with many ions of a lattice via the long-range (Fr\"{o}hlich) electron-phonon interaction and optical absorption are studied at zero temperature. Ions are assumed to be isotropic three-dimensional…

Quantum Physics · Physics 2007-05-23 B. Ya. Yavidov

The crossover from quasi free electron to small polaron in the Holstein model for a single electron is studied by means of both exact and self-consistent calculations in one dimension and on an infinite coordination lattice, in order to…

Strongly Correlated Electrons · Physics 2007-05-23 M. Capone , S. Ciuchi , C. Grimaldi

We present the first numerically exact study of a polaron with quadratic coupling to the oscillator displacement, using two alternative methodological developments. Our results cover both anti-adiabatic and adiabatic regimes and the entire…

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