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We study, at zero temperature, the dynamics of a single electron in a Holstein model augmented by site-diagonal, binary-alloy type disorder. The average over the phonon vacuum and the alloy configurations is performed within a generalized…

Strongly Correlated Electrons · Physics 2009-11-07 F. X. Bronold , A. Saxena , A. R. Bishop

The optical properties of polarons are studied in the framework of the Holstein model by applying the dynamical mean-field theory. This approach allows to enlighten important quantitative and qualitative deviations from the limiting…

Strongly Correlated Electrons · Physics 2009-11-11 S. Fratini , S. Ciuchi

The dynamics in a nonlinear Schrodinger chain in an homogeneous electric field is studied. We show that discrete translational invariant integrability-breaking terms can freeze the Bloch nonlinear oscillations and introduce new faster…

Pattern Formation and Solitons · Physics 2007-05-23 F. J. Cao

The thorough treatment of electron-lattice interactions from first principles is one of the main goals in condensed matter physics. While the commonly applied adiabatic Born-Oppenheimer approximation is sufficient for describing many…

The coupling of electronic and vibrational motion is studied by two canonical transformations namely normal coordinate transformation and momentum transformation on molecular Hamiltonian. It is shown that by these transformations we can…

Chemical Physics · Physics 2007-05-23 Ivan Hubac , Peter Babinec , Martin Polasek , Jan Urban , Pavel Mach , Jozef Masik , Jerzy Leszczynski

In the spinless Holstein model at half-filling the coupling of electrons to phonons is responsible for a phase transition from a metallic state at small coupling to a Peierls distorted insulated state when the electron-phonon coupling…

Strongly Correlated Electrons · Physics 2007-05-23 S. Sykora , A. Huebsch , K. W. Becker

We study the Hubbard-Holstein model using slave-boson mean-field and a variation al Lang-Firsov transformation. We identify weak and strong e-ph coupling solutions, whose stability depends both on the bare e-ph coupling and on the…

Strongly Correlated Electrons · Physics 2007-08-07 P. Barone , R. Raimondi , M. Capone , C. Castellani

In this work we study the effects of nonadiabatic external driving on the thermodynamics of an electronic system coupled to two electronic leads and to a phonon mode, with and without damping. In the limit of slow driving, we establish…

Statistical Mechanics · Physics 2022-06-03 Jakob Bätge , Amikam Levy , Wenjie Dou , Michael Thoss

We investigate the spinless Anderson-Holstein model routinely employed to describe the basic physics of phonon-assisted tunneling in molecular devices. Our focus is on small to intermediate electron-phonon coupling; we complement a recent…

Strongly Correlated Electrons · Physics 2017-11-30 A. Khedri , T. A. Costi , V. Meden

We consider a polaron model where molecular \emph{rotations} are important. Here, the usual hopping between neighboring sites is affected directly by the electron-phonon interaction via a {\em twist-dependent} hopping amplitude. This model…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Wei Zhang , Alexander O. Govorov , Sergio E. Ulloa

The interaction between electronic and vibrational degrees of freedom is an important mechanism in nonequilibrium charge transport through molecular nanojunctions. While adiabatic polaron-type coupling has been studied in great detail, new…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 Christoph Kaspar , André Erpenbeck , Jakob Bätge , Christian Schinabeck , Michael Thoss

The standard Eliashberg - McMillan theory of superconductivity is essentially based on the adiabatic approximation. Here we present some simple estimates of electron - phonon interaction within Eliashberg - McMillan approach in non -…

Superconductivity · Physics 2020-02-03 M. V. Sadovskii

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

An optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems is proposed. The variational method is based on an expansion in coherent states that leads to a dramatic truncation in the phonon space.…

Strongly Correlated Electrons · Physics 2009-11-10 V. Cataudella , G. De Filippis , F. Martone , C. A. Perroni

Long-distance fast and precise transfer of charge in semiconductor nanostructures is one of the goals for scalable electronic devices. We study theoretically the control of shuttling of an electron along a linear chain of semiconductor…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 María E. Rus , Rodolfo H. Romero , Sergio S. Gomez

We investigate the antiadiabatic limit of an antiferromagnetic S=1/2 Heisenberg chain coupled to Einstein phonons via a bond coupling. The flow equation method is used to decouple the spin and the phonon part of the Hamiltonian. In the…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Raas , Ute Löw , Götz S. Uhrig , Rainer W. Kühne

Including the effect of lattice anharmonicity on electron-phonon interactions has recently garnered attention due to its role as a necessary and significant component in explaining various phenomena, including superconductivity, optical…

We study the real-time dynamics of a highly excited charge carrier coupled to quantum phonons via a Holstein-type electron-phonon coupling. This is a prototypical example for the non-equilibrium dynamics in an interacting many-body system…

Strongly Correlated Electrons · Physics 2015-03-11 F. Dorfner , L. Vidmar , C. Brockt , E. Jeckelmann , F. Heidrich-Meisner

The bound states of two electrons in the adiabatic Holstein-Hubbard model are studied numerically in one and two dimensions from the anticontinuous limit. This model involves a competition between a local electron-phonon coupling (with a…

Strongly Correlated Electrons · Physics 2009-10-31 Laurent Proville , Serge Aubry

The crossover between two customary limits of phonon-assisted tunneling, the adiabatic and antiadiabatic regimes, is studied systematically in the framework of a minimal model for molecular devices: a resonant level coupled by displacement…

Mesoscale and Nanoscale Physics · Physics 2013-03-29 Eitan Eidelstein , Dotan Goberman , Avraham Schiller