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We study the coherent dynamics of a Holstein polaron in strong electric fields. A detailed analytical and numerical analysis shows that even for small hopping constant and weak electron-phonon interaction, polaron states can become…

Condensed Matter · Physics 2009-11-07 Wei Zhang , Alexander O. Govorov , Sergio E. Ulloa

Numerical modeling is used to investigate the dynamics of a polaron in a chain with small random Langevin-like perturbations which imitate the environmental temperature $T$ and under the influence of a constant electric field. In the…

Statistical Mechanics · Physics 2020-07-07 Nadezhda S. Fialko , Victor D. Lakhno

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

As a generic model describing quasi-one-dimensional Mott and Peierls insulators, we investigate the Holstein-Hubbard model for half-filled bands using numerical techniques. Combining Lanczos diagonalization with Chebyshev moment expansion…

Strongly Correlated Electrons · Physics 2007-05-23 H. Fehske , G. Wellein , G. Hager , A. Weisse , A. R. Bishop

The single bipolaron problem is examined in the context of the 1D Holstein-Hubbard model, emphasizing analogies and differences with respect to the complementary single polaron physics. The bipolaron band structure below the phonon…

Strongly Correlated Electrons · Physics 2012-05-30 O. S. Barišić , S. Barišić

We discuss polaron formation in disordered electron-phonon systems.

Strongly Correlated Electrons · Physics 2007-05-23 Holger Fehske , Franz X. Bronold , amd Andreas Alvermann

Bipolaron energies are calculated as a function of wave vector by a variational method of Gurari appropriate for weak or intermediate coupling strengths, for a model with electron-phonon interactions independent of phonon wave vectors and a…

Superconductivity · Physics 2009-11-11 D. M. Eagles , R. M. Quick , B. Schauer

The polaron, an electron dressed with HCB excitations, remains light even in the strong coupling limit as its effective mass remains of the order of the free electron mass. This result is in a sharp contrast to the Holstein model where the…

Strongly Correlated Electrons · Physics 2020-08-26 J. Bonca

Since Landau's theory, polarons have been understood as quasiparticles in which charges are dressed by the lattice field, yet decades of transport and spectroscopic studies have yielded only static indirect renormalizations. Whether such…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 Arnab Ghosh , Patrick Brosseau , Dmitry N. Dirin , Rui Tao , Maksym V. Kovalenko , Patanjali Kambhampati

Many-polaron systems with finite charge-carrier density are often encountered experimentally. However, until recently, no satisfactory theoretical description of these systems was available even in the framework of simple models such as the…

Strongly Correlated Electrons · Physics 2009-11-11 Martin Hohenadler , Georg Hager , Gerhard Wellein , Holger Fehske

We provide a theory for the effects of polarons and phonons in mediating and suppressing the quantum tunneling of electrons into single molecules of conducting polymers, motivated by experiments on molecular quantum dots. The effects of…

Mesoscale and Nanoscale Physics · Physics 2007-11-08 Connie Te-ching Chang , James P. Sethna

The optical conductivity of a polaronic charge carrier in the intermediate and strong-coupling regimes is calculated for a tight-binding electron using exact diagonalization. Two different simple models of the electron-phonon coupling are…

Condensed Matter · Physics 2007-05-23 M. Capone , W. Stephan

Extending the Froehlich polaron problem to a discrete ionic lattice we study a polaronic state with a small radius of the wave function but a large size of the lattice distortion. We calculate the energy dispersion and the effective mass of…

Strongly Correlated Electrons · Physics 2009-10-31 A. S. Alexandrov , P. E. Kornilovitch

We present the first numerically exact study of self-trapped, a.k.a. soliton, states of electrons that form in materials with strong quadratic coupling to the phonon coordinates. Previous studies failed to observe predictions based on the…

Strongly Correlated Electrons · Physics 2024-10-08 Zhongjin Zhang , Anatoly Kuklov , Nikolay Prokof'ev , Boris Svistunov

A convergent perturbation method using modified Lang Firsov transformation is developed for a two-site single-polaron system. The method is applicable for the entire range of the electron-phonon coupling strength from the antiadiabatic…

Strongly Correlated Electrons · Physics 2009-10-31 A. N. Das , Jayita Chatterjee

The properties of the polaron and bipolaron are explored in the 1D Jahn-Teller model with dynamical quantum phonons. The ground-state properties of the polaron and bipolaron are computed using a recently developed variational method.…

Strongly Correlated Electrons · Physics 2009-11-07 S. El Shawish , J. Bonca , Li-Chung Ku , S. A. Trugman

Employing the Lanczos algorithm in combination with a kernel polynomial moment expansion (KPM) and the maximum entropy method (MEM), we show a way of calculating charge and spin excitations in the Holstein t-J model, including the full…

Strongly Correlated Electrons · Physics 2009-10-28 H. Fehske , G. Wellein , B. Bäuml , R. N. Silver

We address the problem of resistivity saturation observed in materials such as the A-15 compounds. To do so, we calculate the resistivity for the Hubbard-Holstein model in infinite spatial dimensions to second order in on-site repulsion…

Strongly Correlated Electrons · Physics 2019-01-23 E. Perepelitsky , B. S. Shastry

A dynamical mean-field theory of the small polaron problem is presented, which becomes exact in the limit of infinite dimensions. The ground state properties and the one-electron spectral function are obtained for a single electron…

Condensed Matter · Physics 2009-10-30 S. Ciuchi , F. de Pasquale , S. Fratini , D. Feinberg

The Holstein Hamiltonian describes itinerant electrons whose site density couples to local phonon degrees of freedom. In the single site limit, at half-filling, the electron-phonon coupling results in a double well structure for the lattice…

Strongly Correlated Electrons · Physics 2023-08-10 C. Kvande , C. Feng , F. Hébert , G. G. Batrouni , R. T. Scalettar