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We obtain analytical expressions for the large- and small-radius polarons on the one-dimensional lattice in the TBA approximation. The equations of motion for this model are treated classically for the oscillator subsystem, while a quantum…

Mesoscale and Nanoscale Physics · Physics 2012-04-12 V. N. Likhachev , T. Yu. Astakhova , G. A. Vinoghradov

We show that in crystals where light ions are symmetrically intercalated between heavy ions, the electron-phonon coupling for carriers located at the light sites cannot be described by a Holstein model. We introduce the double-well…

Strongly Correlated Electrons · Physics 2014-05-09 Clemens P. J. Adolphs , Mona Berciu

We present a theoretical study of superconductivity of polarons in the Hubbard-Holstein model. A residual kinematic interaction proportional to the square of the polaron hopping energy between polarons and phonons provides a pairing field…

Superconductivity · Physics 2009-11-11 R. Ramakumar , A. N. Das

We propose a numerical method which embeds the variational non-Gaussian wavefunction approach within exact diagonalization, allowing for efficient treatment of correlated systems with both electron-electron and electron-phonon interactions.…

Strongly Correlated Electrons · Physics 2020-11-24 Yao Wang , Ilya Esterlis , Tao Shi , J. Ignacio Cirac , Eugene Demler

We investigate the interplay between the formation of lattice and magnetic polaron in the case of a single hole in the antiferromagnetic background. We present an exact analytical solution of the Holstein-t-J model in infinite dimensions.…

Strongly Correlated Electrons · Physics 2009-11-07 E. Cappelluti , S. Ciuchi

Starting from recent advances in the first-principles modeling of polarons, variational polaron equations in the strong-coupling adiabatic approximation are formulated in Bloch space. In this framework, polaron formation energy as well as…

Materials Science · Physics 2022-06-09 Vasilii Vasilchenko , Andriy Zhugayevych , Xavier Gonze

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

Keeping the full quantum nature of the problem we compute the relaxation time of the Holstein polaron after it was driven far from the equilibrium by a strong oscillatory pulse. Just after the pulse the polaron's kinetic energy increases…

Strongly Correlated Electrons · Physics 2012-12-07 Denis Golež , Janez Bonča , Lev Vidmar , Stuart A. Trugman

Here the electron-phonon Holstein model with Rashba spin-orbit interaction is studied for a two dimensional square lattice in the adiabatic limit. It is demonstrated that a delocalized electron at zero spin-orbit coupling localizes into a…

Strongly Correlated Electrons · Physics 2015-05-14 C. Grimaldi

We provide a comprehensive solution to the lattice dynamics problem in the two dimensional Holstein model at finite electron density and finite temperature. We work in the physically relevant adiabatic regime and vary the electron-phonon…

Strongly Correlated Electrons · Physics 2020-02-12 Sauri Bhattacharyya , Saurabh Pradhan , Pinaki Majumdar

We apply weak-coupling perturbation theory and strong-coupling perturbation theory to the Holstein molecular crystal model in order to elucidate the effects of anisotropy on polaron properties in D dimensions. The ground state energy is…

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

We propose a quantum simulation of small-polaron physics using a one-dimensional system of trapped ions acted upon by off-resonant standing waves. This system, envisioned as an array of microtraps, in the single-excitation case allows the…

Quantum Gases · Physics 2012-12-18 Vladimir M. Stojanovic , Tao Shi , C. Bruder , J. Ignacio Cirac

Following the Dirac-Frenkel time-dependent variational principle, transient dynamics of a one-dimensional Holstein polaron with diagonal and off-diagonal exciton-phonon coupling in an external electric field is studied by employing the…

Quantum Physics · Physics 2017-04-25 Zhongkai Huang , Lipeng Chen , Nengji Zhou , Yang Zhao

We study the effective mass of the bipolarons and essentially the possibility to get both light and strongly bound bipolarons in the Holstein-Hubbard model and some variations in the vicinity of the adiabatic limit. Several approaches to…

Superconductivity · Physics 2009-10-31 Laurent Proville , Serge Aubry

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

We present exact diagonalization and momentum average approximation (MA) results for the single polaron properties of a one-dimensional two-band model with phonon-modulated hopping. At strong electron-phonon coupling, we find a novel type…

Strongly Correlated Electrons · Physics 2016-11-15 Mirko M. Möller , Mona Berciu

We analyze the ground-state properties of strongly-correlated electrons coupled with phonons by means of a generalized Gutzwiller wavefunction which includes phononic degrees of freedom. We study in detail the paramagnetic half-filled…

Strongly Correlated Electrons · Physics 2008-07-29 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

We study a single polaron in the Su-Schrieffer-Heeger (SSH) model using four different techniques (three numerical and one analytical). Polarons show a smooth crossover from weak to strong coupling, as a function of the electron-phonon…

Strongly Correlated Electrons · Physics 2015-03-17 D. J. J. Marchand , G. De Filippis , V. Cataudella , M. Berciu , N. Nagaosa , N. V. Prokof'ev , A. S. Mishchenko , P. C. E. Stamp

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…

Superconductivity · Physics 2007-05-23 Erik Koch , Roland Zeyher

A dynamical mean-field theory of the small polaron problem is presented, which becomes exact in the limit of infinite dimensions. The ground state properties and the one-electron spectral function are obtained for a single electron…

Condensed Matter · Physics 2009-10-30 S. Ciuchi , F. de Pasquale , S. Fratini , D. Feinberg
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