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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…

强关联电子 · 物理学 2023-06-21 Nahom K. Yirga , Ka-Ming Tam , David K. Campbell

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…

材料科学 · 物理学 2009-11-11 Marco Zoli

Electron-electron and electron-phonon interactions are responsible for the formation of spin, charge, and superconducting correlations in layered quantum materials. A paradigmatic model for such materials that captures both kinds of…

强关联电子 · 物理学 2026-03-16 Aiman Al-Eryani , Sabine Andergassen , Michael M. Scherer

We investigate the effect of electronic correlations on the coupling of electrons to Holstein phonons in the one-band Hubbard model. We calculate the static electron-phonon vertex within linear response of Kotliar-Ruckenstein slave-bosons…

超导电性 · 物理学 2007-05-23 Erik Koch , Roland Zeyher

We consider the Hubbard-Holstein model in the adiabatic limit to investigate the effects of electron-electron interactions on the electron-phonon coupling. To this aim we compute at any momentum and filling the static charge susceptibility…

强关联电子 · 物理学 2009-11-13 A. Di Ciolo , J. Lorenzana , M. Grilli , G. Seibold

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.…

强关联电子 · 物理学 2015-11-11 Da Wang , Wan-Sheng Wang , Qiang-Hua Wang

We examine the interplay between electron correlations and phonons in an Anderson-Holstein impurity model with an Einstein phonon. When the phonons are slow compared to charge fluctuations (frequency $\omega_0 \ll U/2$, the onsite Coulomb…

强关联电子 · 物理学 2025-07-08 Liam L. H. Lau , Andreas Gleis , Daniel Kaplan , Premala Chandra , Piers Coleman

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…

凝聚态物理 · 物理学 2009-10-30 Takashi Hotta , Yasutami Takada

We study an undoped t-J model with electron-phonon interaction using the self-consistent Born approximation (SCBA). By neglecting vertex corrections, the SCBA solves a boson-holon model, where a holon couples to phonons and magnons.…

强关联电子 · 物理学 2007-05-23 O. Gunnarsson , O. Rösch

Phase diagram of the Hubbard-Holstein model in the coexistence of electron-electron and electron-phonon interactions has been theoretically obtained with the density-matrix renormalization group method for one-dimensional (1D) systems,…

强关联电子 · 物理学 2008-01-16 Masaki Tezuka , Ryotaro Arita , Hideo Aoki

We study bipolaron formation and bipolaronic superconductivity on a square lattice, where electrons couple to both local Holstein phonons via on-site charge density and nonlocal bond Su-Schrieffer-Heeger phonons via modulation of hopping…

超导电性 · 物理学 2025-11-11 Chao Zhang

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…

凝聚态物理 · 物理学 2009-10-28 A. Greco , A. Dobry

Dynamical mean-field theory computations of the electron self energy of the Hubbard-Holstein model as a function of electron-phonon and electron-electron interactions are analyzed to gain insight into the dependence of electron-phonon…

强关联电子 · 物理学 2025-05-14 Jennifer Coulter , Andrew J. Millis

Density-matrix renormalization group is used to study the pairing when both of electron-electron and electron-phonon interactions are strong in the Holstein-Hubbard model at half-filling in a region intermediate between the adiabatic…

强关联电子 · 物理学 2009-09-29 Masaki Tezuka , Ryotaro Arita , Hideo Aoki

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…

强关联电子 · 物理学 2014-11-20 M. Capone , C. Castellani , M. Grilli

We examine the third-order non-linear optical response of a one-dimensional Mott insulator coupled with phonons. The Mott insulator is described by an extended Hubbard-Holstein model. The third harmonic generation (THG) of the model is…

强关联电子 · 物理学 2015-04-17 Shigetoshi Sota , Seiji Yunoki , Takami Tohyama

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…

强关联电子 · 物理学 2019-02-07 F. Hébert , Bo Xiao , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is…

凝聚态物理 · 物理学 2009-10-28 Hiroaki Kusunose , Kazumasa Miyake

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…

Most nonperturbative numerical studies of electron-phonon interactions focus on model Hamiltonians where the electrons interact with a phonon branch via a single type of microscopic mechanism. Two commonly explored couplings in this context…

强关联电子 · 物理学 2024-12-25 Max Casebolt , Chunhan Feng , Richard T. Scalettar , Steven Johnston , G. G. Batrouni
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