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The interplay between electron-electron correlations and disorder has been a central theme of condensed matter physics over the last several decades, with particular interest in the possibility that interactions might cause delocalization…

Strongly Correlated Electrons · Physics 2021-03-12 Bo Xiao , Natanael C. Costa , Ehsan Khatami , George G. Batrouni , Richard T. Scalettar

We revisit from a quantum-information perspective a classic problem of polaron theory in one dimension. In the context of the Holstein model we show that a simple analysis of quantum entanglement between excitonic and phononic degrees of…

Quantum Physics · Physics 2009-11-10 Yang Zhao , Paolo Zanardi , Guanhua Chen

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

Collective quantum phenomena, such as the excitation of composite fermions1, spin waves2, and exciton condensation3,4, can emerge in strongly correlated systems like the fractional quantum Hall states5, spin liquids6, or excitonic…

We study the quantum dynamics of small polaron formation and polaron transport through finite quantum structures in the framework of the one-dimensional Holstein model with site-dependent potentials and interactions. Combining Lanczos…

Strongly Correlated Electrons · Physics 2015-05-19 H. Fehske , G. Wellein , A. R. Bishop

The nonequilibrium dynamics of a quantum dot with electron-phonon interactions described by a generalized Holstein model is presented. A combination of methodologies including the reduced density matrix formalism, the multilayer…

Strongly Correlated Electrons · Physics 2015-06-18 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

The Holstein model has been widely accepted as a model comprising electrons interacting with phonons; analysis of this model's ground states was accomplished two decades ago. However, the results were obtained without completely taking…

Mathematical Physics · Physics 2016-05-10 Tadahiro Miyao

The properties of a dilute electron gas, coupled to the lattice degrees of freedom, are studied and compared with the properties of an electron gas at half-filling, where spinless fermions with two orbitals per lattice site are considered.…

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

We re-examine the Peierls insulator to Mott insulator transition scenario in the one-dimensional Holstein-Hubbard model where, at half-filling, electron-phonon and electron-electron interactions compete for establishing charge- and…

Strongly Correlated Electrons · Physics 2009-11-13 H. Fehske , G. Hager , J. Jeckelmann

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

The high harmonic spectrum of the Mott insulating Hubbard model has recently been shown to exhibit plateau structures with cutoff energies determined by $n$th nearest neighbor doublon-holon recombination processes. The spectrum thus allows…

Strongly Correlated Electrons · Physics 2020-05-26 Markus Lysne , Yuta Murakami , Philipp Werner

We study the interplay between the electron-electron (e-e) and the electron-phonon (e-ph) interactions in the two-orbital Hubbard-Holstein model at half filling using the dynamical mean field theory. We find that the e-ph interaction, even…

Strongly Correlated Electrons · Physics 2017-04-05 Shaozhi Li , Ehsan Khatami , Steven Johnston

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 analyze the global ground-state (quantum) phase diagram of the one-dimensional Holstein model at half-filling as a function of the strength of the electron-phonon coupling (represented by the strength of the phonon-induced attraction,…

Strongly Correlated Electrons · Physics 2023-02-28 Sijia Zhao , Zhaoyu Han , Ilya Esterlis , Steven A. Kivelson

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

We investigate the role of electron-electron and electron-phonon interactions in strongly correlated systems by performing unbiased quantum Monte Carlo simulations in the square lattice Hubbard-Holstein model at half-filling. We study the…

Strongly Correlated Electrons · Physics 2019-10-04 Natanael C. Costa , Kazuhiro Seki , Seiji Yunoki , Sandro Sorella

We study the interplay between the electron-phonon (e-ph) and on-site electron-electron (e-e) interactions in a three-orbital Hubbard-Holstein model on an extended one-dimensional lattice using determinant quantum Monte Carlo. For weak e-e…

Strongly Correlated Electrons · Physics 2018-05-11 Shaozhi Li , Yanfei Tang , Thomas A. Maier , Steven Johnston

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 possibility of using nanoelectromechanical systems as a simulation tool for quantum many-body effects is explored. It is demonstrated that an array of electrostatically coupled nanoresonators can effectively simulate the Bose-Hubbard…

Quantum-mechanical correlations of interacting fermions result in the emergence of exotic phases. Magnetic phases naturally arise in the Mott-insulator regime of the Fermi-Hubbard model, where charges are localized and the spin degree of…

Mesoscale and Nanoscale Physics · Physics 2021-11-18 C. J. van Diepen , T. -K. Hsiao , U. Mukhopadhyay , C. Reichl , W. Wegscheider , L. M. K. Vandersypen