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A model with Holstein-like electron-phonon coupling is studied in the limit of adiabatic phonons. The phonon distribution is anharmonic with two degenerate maxima. This model can be related to fermions in a correlated binary alloy and…

Strongly Correlated Electrons · Physics 2007-05-23 K. Ziegler , D. Schneider

We present impelling evidence of topological phase transitions induced by electron-phonon (e-ph) coupling in an $\alpha$-$T_3$ Haldane-Holstein model that presents smooth tunability between graphene ($\alpha=0$) and a dice lattice…

Mesoscale and Nanoscale Physics · Physics 2024-04-22 Mijanur Islam , Kuntal Bhattacharyya , Saurabh Basu

We adapt a variational procedure to calculate ground state properties of the Holstein model in the adiabatic limit. At strong coupling, this adaption leads to rapid convergence of results. The intermediate coupling regime is further handled…

Strongly Correlated Electrons · Physics 2010-03-10 Zhou Li , D. Baillie , C. Blois , F. Marsiglio

We consider how electron-phonon interaction influences the insulator-metal transitions driven by doping in the strongly correlated system. Using the polaronic version of the generalized tight-binding method, we investigate a multiband…

Strongly Correlated Electrons · Physics 2021-11-09 E. I. Shneyder , M. V. Zotova , S. V. Nikolaev , S. G. Ovchinnikov

The density driven Mott transition is studied by means of Dynamical Mean-Field Theory in the Hubbard-Holstein model, where the Hubbard term leading to the Mott transition is supplemented by an electron-phonon (e-ph) term. We show that an…

Strongly Correlated Electrons · Physics 2007-08-07 M. Capone , G. Sangiovanni , C. Castellani , C. Di Castro , M. Grilli

The evolution of the properties of a finite density electronic system as the electron-phonon coupling is increased are investigated in the Holstein model using the Dynamical Mean-Field Theory (DMFT). We compare the spinless fermion case, in…

Strongly Correlated Electrons · Physics 2025-12-12 M. Capone , P. Carta , S. Ciuchi

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 use the dynamical mean field theory to develop a systematic and computationally tractable method for studying electron-phonon interactions in systems with arbitrary electronic correlations. The method is formulated as an adiabatic…

Strongly Correlated Electrons · Physics 2009-10-31 A. Deppeler , A. J. Millis

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 polaron features for long-range electron-phonon interaction are investigated by extending a variational approach previously proposed for the study of systems with local coupling. The ground-state spectral weight, the average kinetic…

Strongly Correlated Electrons · Physics 2009-11-10 C. A. Perroni , V. Cataudella , G. De Filippis

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

In most cases, as the strength of electron-phonon coupling increases, the effective mass of polarons typically increases. However, in this paper, we uncover a fascinating phenomenon: the presence of light polarons even within the strong…

Strongly Correlated Electrons · Physics 2024-04-10 Chao Zhang

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…

Strongly Correlated Electrons · Physics 2007-05-23 Alexandru Macridin , Brian Moritz , Mark Jarrell , Thomas Maier

We study the small-polaron problem of a single electron interacting with the lattice for the Holstein model in the adiabatic limit on a comb lattice, when the electron-phonon interaction acts only on the base sites. The ground state…

Strongly Correlated Electrons · Physics 2007-08-07 Ilaria Meccoli , Massimo Capone

We investigate the influence of electron-phonon coupling on the superexchange interaction of magnetic insulators. Both the Holstein-Hubbard model where the phonons couple to the electron density, as well as an extended Su, Schrieffer,…

Condensed Matter · Physics 2009-10-28 W. Stephan , M. Capone , M. Grilli , C. Castellani

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

We investigate the interplay between the electron-electron and the electron-phonon interaction in the Hubbard-Holstein model. We implement the flow-equation method to investigate within this model the effect of correlation on the…

Strongly Correlated Electrons · Physics 2009-11-11 G. Aprea , C. Di Castro , M. Grilli , J. Lorenzana

We present a dynamical mean-field study of the nonperturbative electronic mechanisms, which may lead to significant enhancements of the electron-phonon coupling in correlated electron systems. Analyzing the effects of electronic…

Strongly Correlated Electrons · Physics 2026-03-31 Emin Moghadas , Matthias Reitner , Tim Wehling , Giorgio Sangiovanni , Sergio Ciuchi , Alessandro Toschi

The Hubbard-Holstein model is a simple model including both electron-phonon interaction and electron-electron correlations. We review a body of theoretical work investigating the effects of strong correlations on the electron-phonon…

Strongly Correlated Electrons · Physics 2014-11-20 M. Capone , C. Castellani , M. Grilli

Looking for superconductors with higher transition temperature requires a guiding principle. In conventional superconductors, electrons pair up into Cooper pairs via the retarded attraction mediated by electron-phonon coupling.…

Strongly Correlated Electrons · Physics 2015-11-11 Da Wang , Wan-Sheng Wang , Qiang-Hua Wang
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