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We investigate the interplay between the formation of lattice and magnetic polaron in the case of a single hole in the antiferromagnetic background. We present an exact analytical solution of the Holstein-t-J model in infinite dimensions.…

Strongly Correlated Electrons · Physics 2009-11-07 E. Cappelluti , S. Ciuchi

he formation of the optical polaron and bipolaron in two-dimensional (2D) systems are studied in the intermediate electron-phonon coupling regime. The total energies of 2D polaron and bipolaron are calculated by using the Buimistrov-Pekar…

Superconductivity · Physics 2009-09-15 S. Dzhumanov , P. J. Baymatov , N. P. Baymatova , Sh. T. Inoyatov , O. Ahmedov

By using variational wave functions and quantum Monte Carlo techniques, we investigate the interplay between electron-electron and electron-phonon interactions in the two-dimensional Hubbard-Holstein model. Here, the ground-state phase…

Strongly Correlated Electrons · Physics 2017-11-28 Seher Karakuzu , Luca F. Tocchio , Sandro Sorella , Federico Becca

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

The one-dimensional Holstein model and its generalizations have been studied extensively to understand the effects of electron-phonon interaction. The half-filled case is of particular interest, as it describes a transition from a metallic…

Strongly Correlated Electrons · Physics 2015-12-29 J. Greitemann , S. Hesselmann , S. Wessel , F. F. Assaad , M. Hohenadler

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

We investigate metal-insulator transitions in the Holstein-Hubbard model as a function of the on-site electron-electron interaction U and the electron-phonon coupling g. We use several different numerical methods to calculate the phase…

Strongly Correlated Electrons · Physics 2007-05-23 W. Koller , D. Meyer , Y. Ono , A. C. Hewson

Following a resurgence of interest in dilute superconductivity in polar semiconductors, we perform a variational calculation to probe the existence of Fr{\"o}hlich bipolarons in these materials. Our solution is capable of interpolating…

Strongly Correlated Electrons · Physics 2021-11-25 L. Lin , P. B. Littlewood , A. Edelman

The formation of a polaron quasiparticle from a bare electron is studied in the framework of the Holstein model of electron-phonon coupling. Using Schr\"{o}dinger's formalism, we calculate the time evolution of the distribution of the…

Strongly Correlated Electrons · Physics 2007-05-23 Li-Chung Ku , S. A. Trugman

We derive an effective polaronic interaction Hamiltonian, {\it exact to second order in perturbation}, for the spinless one-dimensional Holstein model. The small parameter is given by the ratio of the hopping term ($t$) to the polaronic…

Strongly Correlated Electrons · Physics 2009-11-10 Sanjoy Datta , Arnab Das , Sudhakar Yarlagadda

The Rice-Sneddon model for BaBiO$_3$ is a nice model Hamiltonian for considering the properties of polarons and bipolarons in a three-dimensional oxide crystal. We use exact diagonalization methods on finite samples to study the stability…

Condensed Matter · Physics 2009-10-28 Vladimir N. Kostur , Philip B. Allen

The influence of dispersion-less quantum optical phonons on the phase diagram of a quarter-filled Hubbard chain is studied using the Density-matrix renormalization group technique. The ground state phase diagram is obtained for frequencies…

Strongly Correlated Electrons · Physics 2009-10-31 Philippe Maurel , Marie-Bernadette Lepetit

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…

Strongly Correlated Electrons · Physics 2025-05-14 Jennifer Coulter , Andrew J. Millis

The Hubbard-Holstein model is one of the simplest to incorporate both electron-electron and electron-phonon interactions. In one dimension at half filling the Holstein electron-phonon coupling promotes onsite pairs of electrons and a…

Strongly Correlated Electrons · Physics 2009-11-11 R. P. Hardikar , R. T. Clay

We present a novel approach to electron-lattice interaction beyond the linear-coupling regime. Based on the solution of a Holstein-Peierls-type model, we derive explicit analytical expressions for the eigenvalue spectrum of the Hamiltonian,…

Materials Science · Physics 2018-12-13 Pablo García Risueño , Dmitrii Nabok , Qiang Fu , Claudia Draxl

It is widely accepted that phonon-mediated high-temperature superconductivity is impossible at ambient pressure, because of the very large effective masses of polarons/bipolarons at strong electron-phonon coupling. Here we challenge this…

Superconductivity · Physics 2019-04-29 John Sous , Monodeep Chakraborty , Roman V. Krems , Mona Berciu

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 examine the third-order non-linear optical response of a one-dimensional Mott insulator coupled with phonons. The Mott insulator is described by an extended Hubbard-Holstein model. The third harmonic generation (THG) of the model is…

Strongly Correlated Electrons · Physics 2015-04-17 Shigetoshi Sota , Seiji Yunoki , Takami Tohyama

We obtain the phase diagram of the half-filled two-dimensional Hubbard model on a square lattice in the presence of Einstein phonons. We find that the interplay between the instantaneous electron-electron repulsion and electron-phonon…

Strongly Correlated Electrons · Physics 2007-05-23 F. D. Klironomos , S. -W. Tsai

Two-dimensional (2D) crystals have emerged as a class of materials with tuneable carrier density. Carrier doping to 2D semiconductors can be used to modulate manybody interactions and to explore novel composite particles. Holstein polaron…

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