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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 present a diagrammatic Monte Carlo study of the properties of the Hubbard-Holstein bipolaron on a two-dimensional square lattice. With a small Coulomb repulsion, U, and with increasing electron-phonon interaction, and when reaching a…

Strongly Correlated Electrons · Physics 2007-05-23 Alexandru Macridin , George. A. Sawatzky , Mark Jarrell

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 investigate polaron formation in a many-electron system in the presence of a local repulsion sufficiently strong to prevent local-bipolaron formation. Specifically, we consider a Hubbard-Holstein model of interacting electrons coupled to…

Strongly Correlated Electrons · Physics 2007-08-07 Massimo Capone , Marco Grilli , Walter Stephan

We explore the properties of the bipolaron in a 1D Holstein-Hubbard model with dynamical quantum phonons. Using a recently developed variational method combined with analytical strong coupling calculations, we compute correlation functions,…

Strongly Correlated Electrons · Physics 2007-05-23 J. Bonca , T. Katrasnik , S. A. Trugman

The Holstein Hubbard and Holstein t--J models are studied for a wide range of phonon frequencies, electron--electron and electron--phonon interaction strengths on finite lattices with up to ten sites by means of direct Lanczos…

Condensed Matter · Physics 2009-10-28 G. Wellein , H. Röder , H. Fehske

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 bound states of two electrons in the adiabatic Holstein-Hubbard model are studied numerically in one and two dimensions from the anticontinuous limit. This model involves a competition between a local electron-phonon coupling (with a…

Strongly Correlated Electrons · Physics 2009-10-31 Laurent Proville , Serge Aubry

Polaron and bipolaron formation in the Holstein-Hubbard model with harmonic confinement potential, relevant to quantum dot structures, is investigated in one to three dimensions by means of unbiased quantum Monte Carlo simulations. The…

Strongly Correlated Electrons · Physics 2007-06-13 Martin Hohenadler , Holger Fehske

Characterizing bipolaron binding, and understanding how it depends on electron-phonon interaction, is crucial to unraveling the nature of emergent many-body states in strongly interacting electron-phonon systems. So far, most studies of…

Strongly Correlated Electrons · Physics 2025-02-19 Filip Marijanović , Yi-Fan Qu , Eugene Demler

We study the effective mass of the bipolarons and essentially the possibility to get both light and strongly bound bipolarons in the Holstein-Hubbard model and some variations in the vicinity of the adiabatic limit. Several approaches to…

Superconductivity · Physics 2009-10-31 Laurent Proville , Serge Aubry

Studies of Hamiltonians modeling the coupling between electrons as well as to local phonon excitations have been fundamental in capturing the novel ordering seen in many quasi-one dimensional condensed matter systems. Extending studies of…

Strongly Correlated Electrons · Physics 2023-06-21 Nahom K. Yirga , Ka-Ming Tam , David K. Campbell

The appearance of certain spectral features in one-dimensional (1D) cuprate materials has been attributed to a strong, extended attractive coupling between electrons. Here, using time-dependent density matrix renormalization group methods…

Strongly Correlated Electrons · Physics 2023-10-24 Ta Tang , Brian Moritz , Cheng Peng , Z. X. Shen , Thomas P. Devereaux

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

The spatially localized bound states of two electrons in the adiabatic two-dimensional Holstein-Hubbard model on a square lattice are investigated both numerically and analytically. The interplay between the electron-phonon coupling g,…

Superconductivity · Physics 2009-10-31 Laurent Proville , Serge Aubry

The electron-phonon (e-ph) interaction remains of great interest in condensed matter physics and plays a vital role in realizing superconductors, charge-density-waves (CDW), and polarons. We study the two-dimensional Holstein model for e-ph…

Strongly Correlated Electrons · Physics 2021-07-12 B. Nosarzewski , E. W. Huang , Philip M. Dee , I. Esterlis , B. Moritz , S. A. Kivelson , S. Johnston , T. P. Devereaux

The one-electron spectral function of the Holstein-Hubbard bipolaron in one dimension is studied using cluster perturbation theory together with the Lanczos method. In contrast to other approaches, this allows one to calculate the spectrum…

Strongly Correlated Electrons · Physics 2007-06-13 Martin Hohenadler , Markus Aichhorn , Wolfgang von der Linden

The influence of next-nearest neighbor electron hopping, $t^{\prime}$, on the polaron and bipolaron formation in a square Hubbard-Holstein model is investigated within a variational approach. The results for electron-phonon and…

Strongly Correlated Electrons · Physics 2009-11-07 G. De Filippis , V. Cataudella , G. Iadonisi , V. Marigliano Ramaglia , C. A. Perroni , F. Ventriglia

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

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
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