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We discuss the dynamical polarization with finite momentum and frequency in the presence of many-electron effect, including the screened Coulomb interaction, self-energy and vertex correction. The longitudinal conductivity, screened Coulomb…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 Chen-Huan Wu

We develop an exact computational method based on numerical X-propagators for solving polaron models with arbitrary nonlinear couplings of local vibration modes to the electron density and magnitude of the hopping amplitude. Our approach…

We study the effects of lattice type on polaron dynamics using a continuous-time quantum Monte-Carlo approach. Holstein and screened Froehlich polarons are simulated on a number of different Bravais lattices. The effective mass, isotope…

Strongly Correlated Electrons · Physics 2009-11-11 J. P. Hague , P. E. Kornilovitch , A. S. Alexandrov , J. H. Samson

We propose a theoretical and computational approach to investigate temporal behavior of a nonlinear polarization in perturbative regime induced by an intense and ultrashort pulsed electric field. First-principles time-dependent density…

Optics · Physics 2019-03-27 Mitsuharu Uemoto , Yuki Kuwabara , Shunsuke A. Sato , Kazuhiro Yabana

We present the phase diagram and dynamical correlation functions for the Holstein-Hubbard model at half filling and at zero temperature. The calculations are based on the Dynamical Mean Field Theory. The effective impurity model is solved…

Strongly Correlated Electrons · Physics 2009-11-10 W. Koller , D. Meyer , A. C. Hewson , Y. Ono

We use determinant quantum Monte Carlo to study the single particle properties of quasiparticles and phonons in a variant of the two-dimensional Holstein model that includes an additional non-linear electron-phonon (e-ph) interaction. We…

Superconductivity · Physics 2015-08-12 Shaozhi Li , E. A. Nowadnick , S. Johnston

We introduce a non-linear differential flow equation for density matrices that provides a monotonic decrease of the free energy and reaches a fixed point at the Gibbs thermal state. We use this equation to build a variational approach for…

Superconductivity · Physics 2020-11-04 Tao Shi , Eugene Demler , J. Ignacio Cirac

We consider the steady-state thermoelectric transport through a vibrating molecular quantum dot that is contacted to macroscopic leads. For moderate electron-phonon interaction strength and comparable electronic and phononic timescales, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 T. Koch , J. Loos , H. Fehske

We present a theoretical framework to describe polarons from first principles within a many-body Green's function formalism. Starting from a general electron-phonon Hamiltonian, we derive a self-consistent Dyson equation in which the…

he formation of the optical polaron and bipolaron in two-dimensional (2D) systems are studied in the intermediate electron-phonon coupling regime. The total energies of 2D polaron and bipolaron are calculated by using the Buimistrov-Pekar…

Superconductivity · Physics 2009-09-15 S. Dzhumanov , P. J. Baymatov , N. P. Baymatova , Sh. T. Inoyatov , O. Ahmedov

We theoretically investigate the polaron physics of an impurity immersed in a two-dimensional Fermi sea, interacting via a p-wave interaction at finite temperature. In the unitary limit with a divergent scattering area, we find a…

Quantum Gases · Physics 2023-11-20 Hui Hu , Jia Wang , Xia-Ji Liu

We apply the Merrifield variational method to the Holstein molecular crystal model in D dimensions to compute non-adiabatic polaron band energies and Franck-Condon factors at general crystal momenta. We analyze these observable properties…

Materials Science · Physics 2016-09-28 David W. Brown , Aldo H. Romero , Katja Lindenberg

We establish, in general terms, the conditions to be satisfied by a time-fractional approach formulation of the Poisson-Nernst-Planck model in order to guarantee that the total current across the sample be solenoidal, as required by the…

Chemical Physics · Physics 2022-01-04 G. Barbero , L. R. Evangelista , E. K. Lenzi

The dependence of the differential cross section and polarization observables in the $\bar N+N\to \pi +e^++e^-$ reaction on the polarizations of the proton target and antiproton beam (the produced electron may be unpolarized or…

Nuclear Theory · Physics 2015-06-05 G. I. Gakh , E. Tomasi-Gustafsson , A. Dbeyssi , A. G. Gakh

The present work is a reply to the paper [1]. It is proven that the argumentation of Ref. [1] is inconsistent. The variational functional for the polaron ground state energy considered in Ref. [1] contains an incomplete recoil energy. Since…

Other Condensed Matter · Physics 2015-06-11 S. N. Klimin , J. T. Devreese

We calculate the inelastic scattering probabilities in the wide band limit of a local polaron model with quadratic coupling to bosons. The central object is a two-particle Green function which is calculated exactly using a purely algebraic…

Materials Science · Physics 2010-03-25 Thomas Olsen

A disorder-dependent Gaussian variational approach is applied to the $d$-dimensional ferromagnetic XY model in a random field. The randomness yields a non extensive contribution to the variational free energy, implying a random mass term in…

Condensed Matter · Physics 2009-10-28 T. Garel , G. Iori , H. Orland

We derive the exact solution for the optical conductivity $\sigma(\omega)$ of one hole in the Holstein-t-J model in the framework of dynamical mean-field theory (DMFT). We investigate the magnetic and phonon features associated with polaron…

Strongly Correlated Electrons · Physics 2008-02-07 E. Cappelluti , S. Ciuchi , S. Fratini

A translation invariant N-polaron system is investigated at arbitrary electron-phonon coupling strength, using a variational principle for path integrals for identical particles. An upper bound for the ground state energy is found as a…

Strongly Correlated Electrons · Physics 2007-05-23 F. Brosens , S. N. Klimin , J. T. Devreese

Understanding the interplay between charge and spin and its effects on transport is a ubiquitous challenge in quantum many-body systems. In the Fermi-Hubbard model, this interplay is thought to give rise to magnetic polarons, whose dynamics…