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We apply weak-coupling perturbation theory to the Holstein molecular crystal model in order to compute an electron-phonon correlation function characterizing the shape and size of the polaron lattice distortion in one, two, and three…

Strongly Correlated Electrons · Physics 2009-10-31 Aldo H. Romero , David W. Brown , Katja Lindenberg

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 perform analysis of the band structure, phonon dispersion, and electron-phonon interactions in three types of small-radius carbon nanotubes. We find that the (5,5) can be described well by the zone-folding method and the electron-phonon…

Superconductivity · Physics 2009-11-10 Ryan Barnett , Eugene Demler , Efthimios Kaxiras

This study investigated the extended Holstein--Hubbard model at half-filling as a model for describing interplay of the electron-electron and electron-phonon couplings. When the electron-phonon and nearest-neighbor electron-electron…

Mathematical Physics · Physics 2016-10-12 Tadahiro Miyao

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 optical conductivity of charge carriers coupled to quantum phonons is studied in the framework of the one-dimensional spinless Holstein model. For one electron, variational diagonalisation yields exact results in the thermodynamic…

Strongly Correlated Electrons · Physics 2007-06-13 Jan Loos , Martin Hohenadler , Andreas Alvermann , Holger Fehske

We investigate the controversial case of charge-density-wave (CDW) order in single layer 1T-TiSe$_2$ by employing the density functional perturbation theory with on-site Hubbard interactions. The results emphasize the crucial role of…

Materials Science · Physics 2022-12-12 Dino Novko , Zahra Torbatian , Ivor Lončarić

The interplay of electron-electron and electron-phonon interactions is studied analytically in the Kondo regime. A Holstein electron-phonon coupling is shown to produce a weakening of the gate voltage dependence of the Kondo temperature and…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Balseiro , P. S. Cornaglia , D. R. Grempel

The formation of a polaron quasiparticle from a bare electron is studied in the framework of the Holstein model of electron-phonon coupling. Using Schr\"{o}dinger's formalism, we calculate the time evolution of the distribution of the…

Strongly Correlated Electrons · Physics 2007-05-23 Li-Chung Ku , S. A. Trugman

We investigate the low-energy properties of the Holstein polaron through calculation of the q-dependent phonon spectral function using an improved exact-diagonalization technique, defined over a variational Hilbert space. We perform a…

Other Condensed Matter · Physics 2010-09-28 Lev Vidmar , Janez Bonca , Stuart A. Trugman

Experimental quest for high-temperature and room-temperature superconductivity (SC) at ambient pressure has been a long-standing research theme in physics. It has also been desired to construct reliable microscopic mechanisms that may…

Strongly Correlated Electrons · Physics 2026-04-08 Xun Cai , Zi-Xiang Li , Hong Yao

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

We investigate the dynamics of a phonon-mediated superconductor driven out of equilibrium. The electronic hopping amplitude is ramped down in time, resulting in an increased electronic density of states. The dynamics of the coupled…

Superconductivity · Physics 2016-04-12 M. A. Sentef , A. F. Kemper , A. Georges , C. Kollath

Using a large-N expansion we present and solve the linearized equation for the superconducting gap for a generalized t-J model which also contains phonons within a Holstein model. The leading Tc has d-wave symmetry with phonons giving a…

Superconductivity · Physics 2009-10-31 A. Greco , R. Zeyher

The Holstein model is a paradigmatic description of the electron-phonon interaction, in which electrons couple to local dispersionless phonon modes, independent of momentum. The model has been shown to host a variety of ordered ground…

Strongly Correlated Electrons · Physics 2023-05-12 Owen Bradley , Benjamin Cohen-Stead , Steven Johnston , Kipton Barros , Richard T. Scalettar

We study the bound states of a three-dimensional Holstein polaron near various kinds of single impurities, using the momentum average approximation. We show that the electron-phonon coupling is responsible for a strong renormalization of…

Strongly Correlated Electrons · Physics 2012-04-12 Hadi Ebrahimnejad , Mona Berciu

We introduce a new type of Gutzwiller variational wavefunction for correlated electrons coupled to phonons, able to treat on equal footing electronic and lattice degrees of freedom. We benchmark the wavefunction in the infinite-$U$…

Strongly Correlated Electrons · Physics 2007-07-24 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

We investigate polaron formation in a many-electron system in the presence of a local repulsion sufficiently strong to prevent local-bipolaron formation. Specifically, we consider a Hubbard-Holstein model of interacting electrons coupled to…

Strongly Correlated Electrons · Physics 2007-08-07 Massimo Capone , Marco Grilli , Walter Stephan

We derive an effective electronic Hamiltonian for square lattice Hubbard-Holstein model (HHM) in the strong electron-electron (e-e) and electron-phonon (e-ph) coupling regime and under non-adiabatic conditions ($t/\omega_0 \leq 1$), $t$ and…

Strongly Correlated Electrons · Physics 2018-06-13 Sahinur Reja , Satoshi Nishimoto

The optical conductivity of the CuO$_3$-chains, a subsystem of the 1-2-3 materials, is dominated by a broad peak in the mid-infrared ($\omega \approx 0.2$eV), and a slowly falling high-frequency tail. The 1D $t$-$J$-model is proposed as the…

Condensed Matter · Physics 2009-10-22 Roland Fehrenbacher
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