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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…

凝聚态物理 · 物理学 2007-05-23 Walter Stephan

The Holstein model often serves as an archetype for electron-phonon interactions and polaron formation in solids. However, precise descriptions of the Holstein polaron are difficult when the phonon frequency is small and the electron-phonon…

强关联电子 · 物理学 2026-03-10 Connor M. Walsh , Igor Boettcher , Frank Marsiglio

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…

超导电性 · 物理学 2009-11-27 Marco Zoli

We examine the interplay between electron correlations and phonons in an Anderson-Holstein impurity model with an Einstein phonon. When the phonons are slow compared to charge fluctuations (frequency $\omega_0 \ll U/2$, the onsite Coulomb…

强关联电子 · 物理学 2025-07-08 Liam L. H. Lau , Andreas Gleis , Daniel Kaplan , Premala Chandra , Piers Coleman

We calculate the spectral properties of the one-dimensional Holstein and breathing polarons using the self-consistent Born approximation. The Holstein model electron-phonon coupling is momentum independent while the breathing coupling…

强关联电子 · 物理学 2007-05-23 C. Slezak , A. Macridin , G. A. Sawatzky , M. Jarrell , T. A. Maier

We investigate the effect of strong electron-electron repulsion on the electron-phonon interaction from a Fermi-liquid point of view: the strong interaction is responsible for vertex corrections, which are strongly dependent on the…

凝聚态物理 · 物理学 2009-10-22 M. Grilli , C. Castellani

The role of the spin-phonon coupling in spin-Peierls chains doped with spin-0 or spin-1 impurities is investigated by various numerical methods such as exact diagonalization, quantum Monte Carlo simulations and Density Matrix…

强关联电子 · 物理学 2007-05-23 D. Augier , P. Hansen , D. Poilblanc , J. Riera , E. Sorensen

We apply weak-coupling perturbation theory and strong-coupling perturbation theory to the Holstein molecular crystal model in order to elucidate the effects of anisotropy on polaron properties in D dimensions. The ground state energy is…

强关联电子 · 物理学 2009-10-31 Aldo H. Romero , David W. Brown , Katja Lindenberg

We analyze electron-phonon correlation functions measured in 1D polaron ground states of the Holstein Hamiltonian using the Global-Local variational method. The spatial collapse of electron-phonon correlations is found to occur in concert…

超导电性 · 物理学 2009-10-31 A. H. Romero , David W. Brown , Katja Lindenberg

Determining the range of validity of Migdal's approximation for electron-phonon ($e$-ph) coupled systems is a long-standing problem. Many attempts to answer this question employ the Holstein Hamiltonian, where the electron density couples…

超导电性 · 物理学 2020-08-28 Philip M. Dee , Jennifer Coulter , Kevin Kleiner , Steven Johnston

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…

强关联电子 · 物理学 2009-11-07 F. X. Bronold , A. Saxena , A. R. Bishop

We study the effect of dynamical Holstein phonons on the physics of the Hubbard model at small doping using the dynamical cluster approximation on a $2\times2$ cluster. Non-local antiferromagnetic correlations are found to significantly…

强关联电子 · 物理学 2007-05-23 Alexandru Macridin , Brian Moritz , Mark Jarrell , Thomas Maier

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…

强关联电子 · 物理学 2025-05-14 Jennifer Coulter , Andrew J. Millis

We investigate the low-energy properties of the Holstein polaron through calculation of the q-dependent phonon spectral function using an improved exact-diagonalization technique, defined over a variational Hilbert space. We perform a…

其他凝聚态物理 · 物理学 2010-09-28 Lev Vidmar , Janez Bonca , Stuart A. Trugman

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,…

超导电性 · 物理学 2012-11-21 Zhou Li , F. Marsiglio

A description of electron-phonon coupling at a defect or impurity is essential to characterizing and harnessing its functionality for a particular application. Electron-phonon coupling limits the amount of useful light produced by a…

材料科学 · 物理学 2026-04-21 Mark E. Turiansky , John L. Lyons

$\text{BaBiO}_{3}$ compound is known as an archetype example of a three-dimensional Holstein model with the realization of the charge density wave state at half-filling and the superconducting state when doped. Although many works are…

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…

强关联电子 · 物理学 2009-11-07 Li-Chung Ku , S. A. Trugman , J. Bonca

The "standard" theory of a normal metal consists of an effective electron band which interacts with phonons and impurities. The effects due to the electron-phonon interaction are often delineated within the Migdal approximation; the…

强关联电子 · 物理学 2009-11-10 Fatih Dogan , Frank Marsiglio

This work addresses the one-dimensional problem of Bloch electrons when they are rapidly driven by a homogeneous time-periodic light and linearly coupled to vibrational modes. Starting from a generic time-periodic electron-phonon…

介观与纳米尺度物理 · 物理学 2017-01-20 C. Dutreix , M. I. Katsnelson