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The dynamical interplay between electron-electron interactions and electron-phonon coupling is investigated within the Anderson-Holstein model, a minimal model for open quantum systems that embody these effects. The influence of phonons on…

Strongly Correlated Electrons · Physics 2016-05-25 Hsing-Ta Chen , Guy Cohen , Andrew J. Millis , David R. Reichman

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

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

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

In this paper we present results on the disordered Holstein-Double Exchange model, explicitly in three dimension and `metallic' densities, obtained by using a recently developed Monte Carlo approach. Following up on our earlier paper,…

Strongly Correlated Electrons · Physics 2015-06-25 Pinaki Majumdar , Sanjeev Kumar

Numerical modeling is used to investigate the dynamics of a polaron in a chain with small random Langevin-like perturbations which imitate the environmental temperature $T$ and under the influence of a constant electric field. In the…

Statistical Mechanics · Physics 2020-07-07 Nadezhda S. Fialko , Victor D. Lakhno

The formation and local symmetry of spin-lattice polaron has been investigated semiclassically in the planar Holstein t-J-like models within the exact diagonalization method. Due to the interplay of strong correlations and electron-lattice…

Strongly Correlated Electrons · Physics 2015-06-12 Han Ma , T. K. Lee , Yan Chen

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 derive an effective Hamiltonian for the two-dimensional Hubbard-Holstein model in the regimes of strong electron-electron and strong electron-phonon interactions by using a nonperturbative approach. In the parameter region where the…

Strongly Correlated Electrons · Physics 2018-10-17 A. Ghosh , S. Kar , S. Yarlagadda

Many optically active systems possess spatially asymmetric electron orbitals. These generate permanent dipole moments, which can be stronger than the corresponding transition dipole moments, significantly affecting the system dynamics and…

Quantum Physics · Physics 2023-04-21 Adam Burgess , Marian Florescu , Dominic Michael Rouse

This paper reports dynamical mean field calculations for the periodic Anderson model in which the conduction band is coupled to phonons. Motivated in part by recent attention to the role of phonons in the $\gamma$-$\alpha$ transition in Ce,…

Strongly Correlated Electrons · Physics 2013-03-14 Peng Zhang , Peter Reis , Ka-Ming Tam , Mark Jarrell , Juana Moreno , Fakher Assaad , Andy McMahan

We use a recently developed formalism (combining an adiabatic expansion and dynamical mean-field theory) to obtain expressions for isotope effects on electronic properties in correlated systems. As an example we calculate the isotope effect…

Strongly Correlated Electrons · Physics 2009-11-07 A. Deppeler , A. J. Millis

We introduce a variational wave-function to study the polaron formation when the electronic transfer integral depends on the relative displacement between nearest-neighbor sites giving rise to a non-local electron-phonon coupling with…

Strongly Correlated Electrons · Physics 2009-11-10 C. A. Perroni , E. Piegari , M. Capone , V. Cataudella

We study the Hubbard-Holstein model, which includes both the electron-electron and electron-phonon interactions characterized by $U$ and $g$, respectively, employing the dynamical mean-field theory combined with Wilson's numerical…

Strongly Correlated Electrons · Physics 2009-11-10 Gun Sang Jeon , Tae-Ho Park , Jung Hoon Han , Hyun C. Lee , Han-Yong Choi

Starting from the shell structure in atoms and the significant correlation within electron pairs, we distinguish the exchange-correlation effects between two electrons of opposite spins occupying the same orbital from the average…

Strongly Correlated Electrons · Physics 2018-02-20 Guo-Qiang Hai , Ladir Cândido , Braulio G. A. Brito , François M. Peeters

We calculate the low temperature properties of an acoustic polaron in three dimensions in thermal equilibrium at a given temperature using a specialized path integral Monte Carlo method. In particular we find numerical evidence that the…

Materials Science · Physics 2012-11-20 Riccardo Fantoni

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

Numerically "exact" methods addressing the dynamics of coupled electron--phonon systems have been intensively developed. Nevertheless, the corresponding results for the electron mobility $\mu_\mathrm{dc}$ are scarce, even for the…

Strongly Correlated Electrons · Physics 2023-09-12 Veljko Janković

Electron-phonon coupling, diagonal in a real space formulation, leads to polaron paradigm of smoothly varying properties. However, fundamental changes, namely the singular behavior of polarons, occur if non-diagonal pairing is involved into…

Strongly Correlated Electrons · Physics 2020-06-11 E. I. Shneyder , S. V. Nikolaev , M. V. Zotova , R. A. Kaldin , S. G. Ovchinnikov

The Holstein Hamiltonian describes itinerant electrons whose site density couples to local phonon degrees of freedom. In the single site limit, at half-filling, the electron-phonon coupling results in a double well structure for the lattice…

Strongly Correlated Electrons · Physics 2023-08-10 C. Kvande , C. Feng , F. Hébert , G. G. Batrouni , R. T. Scalettar
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