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This work represents a fundamental study of a Holstein polaron in one dimension driven away from the ground state by a constant electric field. Taking fully into account quantum effects we follow the time-evolution of the system from its…

Other Condensed Matter · Physics 2011-04-19 Lev Vidmar , Janez Bonca , Marcin Mierzejewski , Peter Prelovsek , Stuart A. Trugman

In this paper we apply variational energy band theory to a form of the Holstein Hamiltonian in which the influence of lattice vibrations (optical phonons) on both local site energies (local coupling) and transfers of electronic excitations…

Condensed Matter · Physics 2009-10-28 Yang Zhao , David W. Brown , Katja Lindenberg

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

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

Due to the dispersion of optical phonons, long range electron-phonon correlations renormalize downwards the coupling strength in the Holstein model. We evaluate the size of this effect both in a linear chain and in a square lattice for a…

Materials Science · Physics 2009-11-11 Marco Zoli

We study the dynamics of large polarons described by the Froehlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an electron wave function and a phonon coherent state, as…

Mathematical Physics · Physics 2015-06-18 Rupert L. Frank , Benjamin Schlein

Following the Dirac-Frenkel time-dependent variational principle, transient dynamics of a one-dimensional Holstein polaron with diagonal and off-diagonal exciton-phonon coupling in an external electric field is studied by employing the…

Quantum Physics · Physics 2017-04-25 Zhongkai Huang , Lipeng Chen , Nengji Zhou , Yang Zhao

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 provide a comprehensive solution to the lattice dynamics problem in the two dimensional Holstein model at finite electron density and finite temperature. We work in the physically relevant adiabatic regime and vary the electron-phonon…

Strongly Correlated Electrons · Physics 2020-02-12 Sauri Bhattacharyya , Saurabh Pradhan , Pinaki Majumdar

The ultrafast conversion of coherent excitons into incoherent excitons, as well as the subsequent exciton diffusion and thermalization, are central topics in current scientific research due to their relevance in optoelectronics,…

Materials Science · Physics 2025-01-15 Gianluca Stefanucci , Enrico Perfetto

The coherent dynamics of a Holstein polaron in strong electric fields is considered under different regimes. Using analytical and numerical analysis, we show that even for small hopping constant and weak electron-phonon interaction, the…

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

The polaron formation is investigated in the intermediate regime of the Holstein model by using an exact diagonalization technique for the one-dimensional infinite lattice. The numerical results for the electron and phonon propagators are…

Strongly Correlated Electrons · Physics 2007-05-23 O. S. Barisic

We develop a microscopic theoryof the trion polaron: a bound state of two electrons and one hole, dressed by longitudinal optical (LO) phonons. Starting from the Frohlich Hamiltonian, which describes the interaction of charged particles…

Materials Science · Physics 2025-08-21 V. Shahnazaryan , A. Kudlis , K. Varga , I. A. Shelykh , I. V. Tokatly

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

Numerically "exact" methods addressing the dynamics of coupled electron--phonon systems have been intensively developed. Nevertheless, the corresponding results for the electron mobility $\mu_\mathrm{dc}$ are scarce, even for the…

Strongly Correlated Electrons · Physics 2023-09-12 Veljko Janković

We performed an extensive numerical analysis of the Holstein model. Combining variational Lanczos diagonalisation, density matrix renormalisation group, kernel polynomial expansion, and cluster perturbation theory techniques we solved for…

Strongly Correlated Electrons · Physics 2015-06-25 H. Fehske , S. A. Trugman

We present a unified and nonperturbative method for calculating spectral and transport properties of Hamiltonians with simultaneous Holstein (diagonal) and Peierls (off-diagonal) electron-phonon coupling. Our approach is motivated by the…

Materials Science · Physics 2020-07-01 Jonathan H. Fetherolf , Denis Golez , Timothy C. Berkelbach

We study the small-polaron problem of a single electron interacting with the lattice for the Holstein model in the adiabatic limit on a comb lattice, when the electron-phonon interaction acts only on the base sites. The ground state…

Strongly Correlated Electrons · Physics 2007-08-07 Ilaria Meccoli , Massimo Capone

We study the complete extended Hubbard-Holstein Hamiltonian on a four-site chain with equally spaced sites, with spacing-dependent electronic interaction parameters evaluated in terms of Wannier functions built from Gaussian atomic…

Strongly Correlated Electrons · Physics 2009-10-31 Marcello Acquarone , Mario Cuoco , Canio Noce , Alfonso Romano

The Holstein Molecular Crystal Model is investigated by a strong coupling perturbative method which, unlike the standard Lang-Firsov approach, accounts for retardation effects due to the spreading of the polaron size. The effective mass is…

Superconductivity · Physics 2009-11-27 Marco Zoli
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