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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

We apply weak-coupling perturbation theory to the Holstein molecular crystal model in order to compute an electron-phonon correlation function characterizing the shape and size of the polaron lattice distortion in one, two, and three…

Strongly Correlated Electrons · Physics 2009-10-31 Aldo H. Romero , David W. Brown , Katja Lindenberg

The cross over from low to high carrier densities in a many-polaron system is studied in the framework of the one-dimensional spinless Holstein model, using unbiased numerical methods. Combining a novel quantum Monte Carlo approach and…

Strongly Correlated Electrons · Physics 2007-05-23 M. Hohenadler , D. Neuber , W. von der Linden , G. Wellein , J. Loos , H. Fehske

To discuss the interplay of electronic and lattice degrees of freedom in systems with strong Coulomb correlations we have performed an extensive numerical study of the two-dimensional Holstein t-J model. The model describes the interaction…

Strongly Correlated Electrons · Physics 2009-10-31 B. Bäuml , G. Wellein , H. Fehske

We use the continuous-time interaction expansion (CT-INT) quantum Monte Carlo method to calculate the phonon spectral function of the one-dimensional Holstein-Hubbard model at half-filling. Our results are consistent with a soft-mode…

Strongly Correlated Electrons · Physics 2015-07-01 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

Ground-state and dynamical properties of the 2D Holstein t-J model are examined by means of direct Lanczos diagonalization, using a truncation method of the phononic Hilbert space. The single-hole spectral function shows the formation of a…

Condensed Matter · Physics 2016-08-31 H. Fehske , G. Wellein , B. Bäuml , H. Büttner

Polarons are quasiparticles formed as a result of lattice distortions induced by charge carriers. The single-electron Holstein model captures the fundamentals of single polaron physics. We examine the power of the exponential ansatz for the…

Materials Science · Physics 2024-06-03 Junjie Yang , Zhi-Hao Cui , Ankit Mahajan , Huanchen Zhai , David R. Reichman , Garnet Kin-Lic Chan

We compute exactly both the spectral function of the electron and of the small polaron for the two site Holstein model. We find that for intermediary coupling, the small polaron is a better fundamental excitation of the system than the…

Strongly Correlated Electrons · Physics 2009-10-30 J. M. Robin

We perform an unitary transformation for the symmetric phonon mode of the Holstein molecular crystal hamiltonian. We show how to compute the electronic spectral functions by exact numerical diagonalisation of an effective hamiltonian fully…

Strongly Correlated Electrons · Physics 2008-02-03 J. M. Robin

The carrier-density dependence of the photoemission spectrum of the Holstein many-polaron model is studied using cluster perturbation theory combined with an improved cluster diagonalization by Chebychev expansion.

Strongly Correlated Electrons · Physics 2007-05-23 Martin Hohenadler , Gerhard Wellein , Andreas Alvermann , Holger Fehske

We propose a new optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems combining density-matrix and Lanczos algorithms. We demonstrate the reliablity of this approach by calculating the phase…

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

We present details of a continuous-time quantum Monte-Carlo algorithm for the screened Hubbard-Froehlich bipolaron. We simulate the bipolaron in one dimension with arbitrary interaction range in the presence of Coulomb repulsion, computing…

Strongly Correlated Electrons · Physics 2009-08-04 J. P. Hague , P. E. Kornilovitch

The one-dimensional Holstein-Hubbard model with two electrons of opposite spin is studied using an extension of a recently developed quantum Monte Carlo method, and a very simple yet rewarding variational approach, both based on a…

Strongly Correlated Electrons · Physics 2007-05-23 Martin Hohenadler , Wolfgang von der Linden

A comprehensive picture of polaron and bipolaron physics is essential to understand the optical absorption spectrum in many materials with electron-phonon interactions. In particular, the finite-temperature properties are of interest since…

Strongly Correlated Electrons · Physics 2022-10-27 David Jansen , Janez Bonča , Fabian Heidrich-Meisner

In this work, using two distinct semiclassical approaches, namely the mean-field Ehrenfest (MFE) method and the mapping approach to surface hopping (MASH), we investigate the spectral function of a single charge interacting with phonons on…

Chemical Physics · Physics 2025-10-24 Haimi Nguyen , Arkajit Mandal , Ankit Mahajan , David R. Reichman

We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

Strongly Correlated Electrons · Physics 2017-02-27 C. Brockt , E. Jeckelmann

Combining density-matrix and Lanczos algorithms we propose a new optimized phonon approach for finite-cluster diagonalizations of interacting electron-phonon systems. To illustrate the efficiency and reliability of our method, we…

Strongly Correlated Electrons · Physics 2013-06-20 Alexander Weiße , Gerhard Wellein , Holger Fehske

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 use an exact {\it holon} and {\it spinon} Landau-liquid functional which describes the holon - spinon interactions at all scattering orders, to study correlation functions of integrable multicomponent many-particle problems showing both…

Strongly Correlated Electrons · Physics 2021-06-18 J. M. P. Carmelo , J. M. E. Guerra , J. M. B. Lopes dos Santos , A. H. Castro Neto

The three band p-d model of strongly correlated electrons interacting with optical phonon via diagonal and off-diagonal electron-phonon interaction is considered within cluster perturbation theory. At first step the exact diagonalization of…

Strongly Correlated Electrons · Physics 2015-11-04 I. A. Makarov , E. I. Shneyder , P. A. Kozlov , S. G. Ovchinnikov