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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

In most cases, as the strength of electron-phonon coupling increases, the effective mass of polarons typically increases. However, in this paper, we uncover a fascinating phenomenon: the presence of light polarons even within the strong…

Strongly Correlated Electrons · Physics 2024-04-10 Chao Zhang

We numerically and analytically calculate the properties of the bipolaron in an extended Hubbard Holstein model, which has a longer range electron-phonon coupling like the Fr\" ohlich model. In the strong coupling regime, the effective mass…

Strongly Correlated Electrons · Physics 2009-11-07 J. Bonca , S. A. Trugman

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

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

Using the momentum average approximation we study the importance of adding higher-than-linear terms in the electron-phonon coupling on the properties of single polarons described by a generalized Holstein model. For medium and strong linear…

Strongly Correlated Electrons · Physics 2013-06-13 C. P. J. Adolphs , M. Berciu

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 use the approximation-free Bold Diagrammatic Monte Carlo technique to study the effects of a finite dispersion of the optical phonon mode on the properties of the Holstein polaron, especially its effective mass. For weak electron-phonon…

Strongly Correlated Electrons · Physics 2013-09-02 Dominic J. J. Marchand , Mona Berciu

Based on a recently developed variational method, we explore the properties of the Holstein polaron on an infinite lattice in $D$ dimensions, where $ 1 \le D \le 4$. The computational method converges as a power law, so that highly accurate…

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

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

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

The single-polaron band structure of the Holstein model in one and two dimensions is studied using a new form of resummed strong-coupling perturbation theory. Well converged results are obtained for phonon frequencies of the order of the…

Condensed Matter · Physics 2007-05-23 Walter Stephan

Allowing a single electron to hop to next-nearest neighbours (NNN) in addition to the closest atomic sites in the Holstein model, a modified Trugman method is applied to exactly calculate the effect on the polaronic effective mass in one,…

Strongly Correlated Electrons · Physics 2016-09-07 Carl J. Chandler , Christian Prosko , F. Marsiglio

We generalize the Momentum Average approximations MA$^{(0)}$ and MA$^{(1)}$ to study the effects of coupling to multiple optical phonons on the properties of a Holstein polaron. As for a single phonon mode, these approximations are…

Superconductivity · Physics 2008-11-06 Lucian Covaci , Mona Berciu

Employing a largely unbiased variational exact diagonalization technique, we analyze the consequences of longer-ranged electron hopping and electron-phonon interaction on polaron formation in one dimension. Having at our disposal the…

Strongly Correlated Electrons · Physics 2024-02-20 Monodeep Chakraborty , Jayita Chatterjee , Holger Fehske

We study the bound states of a three-dimensional Holstein polaron near various kinds of single impurities, using the momentum average approximation. We show that the electron-phonon coupling is responsible for a strong renormalization of…

Strongly Correlated Electrons · Physics 2012-04-12 Hadi Ebrahimnejad , Mona Berciu

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 use both a perturbative Green's function analysis and standard perturbative quantum mechanics to calculate the decrease in energy and the effective mass for an electron interacting with acoustic phonons. The interaction is between the…

Strongly Correlated Electrons · Physics 2011-02-11 Zhou Li , Carl J. Chandler , F. Marsiglio

We solve the disordered Holstein model in three dimensions considering the phonon variables to be classical. After mapping out the phases of the `clean' strong coupling problem, we focus on the effect of disorder at strong electron-phonon…

Strongly Correlated Electrons · Physics 2009-11-10 Sanjeev Kumar , Pinaki Majumdar
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