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We present two quantum-classical hybrid methods for simulating the time-dependence of electron-phonon systems that treat electronic correlations numerically exactly and optical-phonon degrees of freedom classically. These are a…

Strongly Correlated Electrons · Physics 2026-04-14 Heiko Georg Menzler , Suman Mondal , Fabian Heidrich-Meisner

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

Quantum simulations can provide new insights into the physics of strongly correlated electronic systems. A well studied system, but still open in many regards, is the Hubbard-Holstein Hamiltonian, where electronic repulsion is in…

Strongly Correlated Electrons · Physics 2021-12-08 Utso Bhattacharya , Tobias Graß , Adrian Bachtold , Maciej Lewenstein , Fabio Pistolesi

Strong electron-electron interactions are known to significantly modify the electron-phonon coupling relative to the predictions of density functional theory, but this effect is challenging to calculate with realistic theories of strongly…

Strongly Correlated Electrons · Physics 2025-07-21 David J. Abramovitch , Jennifer Coulter , Sophie Beck , Andrew Millis

We study a one-dimensional system of strongly correlated bosons on a dynamical lattice. To this end, we extend the standard Bose-Hubbard Hamiltonian to include extra degrees of freedom on the bonds of the lattice. We show that this minimal…

We study the isotope effects arising from the coupling of correlated electrons with dispersionless phonons by considering the Hubbard-Holstein model at half-filling within the dynamical mean-field theory. In particular we calculate the…

Strongly Correlated Electrons · Physics 2007-08-08 P. Paci , M. Capone , E. Cappelluti , S. Ciuchi , C. Grimaldi

We study the interplay of spin, orbital and lattice degrees of freedom in a one-dimensional Kugel-Khomskii model coupled to phonons. In the vicinity of the dimer point we analyze the excitation spectrum, mapping the spin and orbital degrees…

Strongly Correlated Electrons · Physics 2007-05-23 A. Friedrich , W. Brenig

We investigate the bipolaronic crossover and the pairing transition for a two-orbital model with Jahn-Teller coupling to a two-fold degenerate phonon mode. The evolution from weak to strong coupling is reminiscent of the behavior of the…

Strongly Correlated Electrons · Physics 2009-04-13 Reza Nourafkan , Massimo Capone , Nasser Nafari

We present ab initio results for the electron-phonon interaction of the \Gamma-point phonons in the tetragonal high-temperature phase of La2CuO4. Eigenfrequencies and eigenvectors for the symmetry-allowed phonon modes are calculated with…

Strongly Correlated Electrons · Physics 2013-10-28 J. Spitaler , E. I. Shneyder , E. E. Kokorina , I. A. Nekrasov , V. A. Gavrichkov , C. Ambrosch-Draxl , S. G. Ovchinnikov

Thermoelectric properties of graphene nanoribbons with periodic edge vacancies and antidot lattice are investigated. The electron-phonon interaction is taken into account in the framework of the Hubbard-Holstein model with the use of the…

Materials Science · Physics 2016-11-23 D. V. Kolesnikov , D. A. Lobanov , V. A. Osipov

We investigate the effect of tuning the phonon energy on the correlation effects in models of electron-phonon interactions using DMFT. In the regime where itinerant electrons, instantaneous electron-phonon driven correlations and static…

Strongly Correlated Electrons · Physics 2015-05-13 J. P. Hague , N. d'Ambrumenil

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

In this article in the framework of generalized Frolich model we consider electron-spin-phonon system. A parameter of electron-spin-phonon interaction is found. It is shown its interrelation with experiments on isotope-effect on high…

Superconductivity · Physics 2007-05-23 L. Joukovskaya

We investigate the effect of vibrational degrees of freedom on the linear thermoelectric transport through a single-level quantum dot described by the spinless Anderson-Holstein impurity model. To study the effects of strong electron-phonon…

Strongly Correlated Electrons · Physics 2017-11-30 A. Khedri , V. Meden , T. A. Costi

We consider a model Hamiltonian for a dimer including all the electronic one- and two-body terms consistent with a single orbital per site, a free Einstein phonon term, and an electron-phonon coupling of the Holstein type. The bare…

Strongly Correlated Electrons · Physics 2009-10-31 M. Acquarone , J. R. Iglesias , M. A. Gusmao , C. Noce , A. Romano

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

We have used an exact diagonalization technique to study the stability of the $t-J$-Holstein and Hubbard-Holstein models under the influence of the electron-phonon interaction. Previous results have been obtained using frozen-phonon…

Condensed Matter · Physics 2009-10-28 A. Greco , A. Dobry

We study the combined effects of electron-phonon coupling and dot-lead repulsion in the transport properties of the Anderson-Holstein model. We employ a recently proposed nonperturbative method to calculate the transient response of the…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 E. Perfetto , G. Stefanucci

The electron-phonon interaction in $C_{70}$ anions is studied by making use of a lattice relaxation approach. We find there exists a Jahn-Teller effect in $C_{70}^{3-}$ system, due to an extra electron being doped to the double degenerate…

Materials Science · Physics 2016-08-31 Lin Tian , Ya-Sha Yi , Chui-Lin Wang , Zhao-Bin Su

We reconsider the ordinary impurity effect on the transition temperature $T_{c}$ of superconductors using the Eliashberg formalism. It is shown that the correspondence principle, which relates strong-coupling and weak-coupling theories,…

Superconductivity · Physics 2007-05-23 Yong-Jihn Kim
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