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We consider the prospects for quantum simulation of condensed matter models exhibiting strong electron-phonon coupling using a hybrid platform of trapped laser-cooled ions interacting with an ultracold atomic gas. This system naturally…

Quantum Gases · Physics 2020-09-07 Krzysztof Jachymski , Antonio Negretti

The Hamiltonian describing a system of strongly correlated electrons coupled to dispersionless phonons was solved numerically for a ring of 8 atoms using the density matrix renormalization group (DMRG) method. It was found that electron…

Strongly Correlated Electrons · Physics 2007-05-23 Yury Petrov , Takeshi Egami

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 role of the electron-phonon interaction in the Holstein-Hubbard model is investigated in the metallic phase close to the Mott transition and in the insulating Mott phase. The model is studied by means of a variational slave boson…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Perroni , V. Cataudella , G. De Filippis , V. Marigliano Ramaglia

We investigate two equivalent capacitively and tunnel coupled quantum dots, each coupled to its own pair of leads. Local Holstein type electron-phonon coupling at the dots is assumed. To study many-body effects we use the finite-U…

Mesoscale and Nanoscale Physics · Physics 2023-11-20 D. Krychowski , S. Lipiński

We study the interplay between electron-electron interaction and a Jahn-Teller phonon coupling in a two-orbital Hubbard model. We demonstrate that the e-ph interaction coexists with the Mott localization driven by the Hubbard repulsion U,…

Strongly Correlated Electrons · Physics 2025-08-19 A. Scazzola , A. Amaricci , M. Capone

Quantum dots placed along a vibrating nanotube provide a quantum simulation platform that can directly address the electron-phonon interaction. This offers promising prospects for the search of new quantum materials and the study of strong…

Strongly Correlated Electrons · Physics 2023-02-08 Lin Zhang , Utso Bhattacharya , Adrian Bachtold , Stefan Forstner , Maciej Lewenstein , Fabio Pistolesi , Tobias Grass

We investigate the interaction of strongly correlated electrons with phonons in the frame of the Hubbard-Holstein model. The electron-phonon interaction is considered to be strong and is an important parameter of the model besides the…

Strongly Correlated Electrons · Physics 2009-11-07 V. A. Moskalenko , P. Entel , M. Marinaro , D. F. Digor

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 investigate the interplay of phonons and correlations in superconducting pairing by introducing a model Hamiltonian with on-site repulsion and couplings to several vibration branches having the Cu-O plane of the cuprates as a paradigm.…

Superconductivity · Physics 2009-11-10 Enrico Perfetto , Michele Cini

Competing interactions are often responsible for intriguing phase diagrams in correlated electron systems. Here we analyze the competition of instantaneous short range Coulomb interaction $U$ with the retarded electron-electron interaction…

Strongly Correlated Electrons · Physics 2010-05-20 Johannes Bauer

We propose a quantum simulation of small-polaron physics using a one-dimensional system of trapped ions acted upon by off-resonant standing waves. This system, envisioned as an array of microtraps, in the single-excitation case allows the…

Quantum Gases · Physics 2012-12-18 Vladimir M. Stojanovic , Tao Shi , C. Bruder , J. Ignacio Cirac

Interactions between electrons and phonons play a crucial role in quantum materials. Yet, there is no universal method that would simultaneously accurately account for strong electron-phonon interactions and electronic correlations. By…

Strongly Correlated Electrons · Physics 2023-09-06 M. Michael Denner , Alexander Miessen , Haoran Yan , Ivano Tavernelli , Titus Neupert , Eugene Demler , Yao Wang

The Hubbard-Holstein model describes fermions on a discrete lattice, with on-site repulsion between fermions and a coupling to phonons that are localized on sites. Generally, at half-filling, increasing the coupling $g$ to the phonons…

Strongly Correlated Electrons · Physics 2019-02-07 F. Hébert , Bo Xiao , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

The electron-phonon interaction corresponding to the Holstein model (with Coulomb repulsion) is simulated in infinite dimensions using a novel quantum Monte Carlo algorithm. The thermodynamic phase diagram includes commensurate…

Condensed Matter · Physics 2007-05-23 J. K. Freericks , Mark Jarrell

We calculate the conductance through strongly correlated T-shaped molecular or quantum dot systems under the influence of phonons. The system is modelled by the extended Anderson-Holstein Hamiltonian. The finite-U mean-field slave boson…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 P. Florków , S. Lipiński

We discuss a many-electron Hamiltonian with Hubbard-like repulsive interaction and linear coupling to the phonon branches, having the Cu-O plane of the superconducting cuprates as a paradigm. A canonical transformation extracts an effective…

Strongly Correlated Electrons · Physics 2009-11-10 Enrico Perfetto , Michele Cini

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

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

An asymptotically exact result is obtained for the renormalized phonon energy as a function of the on-site Coulomb repulsion $U_{ee}$ in the half-filled Hubbard-Holstein model in the strong-coupling region at zero temperature. The result is…

Condensed Matter · Physics 2009-10-30 Takashi Hotta , Yasutami Takada
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