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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

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…

Materials Science · Physics 2009-11-11 Marco Zoli

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 charged particle in a magnetic field possesses discrete energy levels associated with particle rotation around the field lines. A bound complex of particles with a nonzero net charge possesses an analogous levels associated with its…

Atomic Physics · Physics 2021-02-16 I. V. Demidov , A. Y. Potekhin

We use the Momentum Average approximation together with perturbative approaches, in the appropriate limits, to study the single polaron physics on a perovskite lattice inspired by BaBiO3. We investigate electron-phonon coupling of the…

Strongly Correlated Electrons · Physics 2021-01-04 Yau-Chuen Yam , Mirko M. Moeller , George A. Sawatzky , Mona Berciu

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

It is shown that the electron Zitterbewegung, that is, the high-frequency microscopic oscillatory motion of electron about its centre of mass, originates a spatial distribution of charge. This allows the point-like electron behave like a…

Quantum Physics · Physics 2007-05-23 P. Brovetto , V. Maxia , M. Salis

For systems of $N$ charged fermions (e.g. electrons) interacting with longitudinal optical quantized lattice vibrations of a polar crystal we derive upper and lower bounds on the minimal energy within the model of H. Fr\"ohlich. The only…

Mathematical Physics · Physics 2015-05-13 Marcel Griesemer , Jacob Schach Møller

We study the quantum dynamics of soliton-like domain walls in anisotropic spin-1/2 chains in the presence of magnetic fields. In the absence of fields, domain walls form a Bloch band of delocalized quantum states while a static field…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jordan Kyriakidis , Daniel Loss

A new variational approach is proposed at zero temperature for a finite density of charge carriers in order to study ground state features of the Frohlich model including electron-electron and electron-phonon interactions. Within the…

Strongly Correlated Electrons · Physics 2021-06-30 C. A. Perroni , G. De Filippis , V. Cataudella

The Holstein Molecular Crystal Model is investigated by a strong coupling perturbative method which, unlike the standard Lang-Firsov approach, accounts for retardation effects due to the spreading of the polaron size. The effective mass is…

Superconductivity · Physics 2009-11-27 Marco Zoli

A polaron is an electron interacting with a polar crystal, which is able to form a bound state by using the distortions of the crystal induced by its own density of charge. In this paper we derive Pekar's famous continuous model for…

Mathematical Physics · Physics 2013-11-08 Mathieu Lewin , Nicolas Rougerie

We analyze a single-level quantum system placed between metallic leads and strongly coupled to a localized vibrational mode, which models a singlemolecule junction or an STM setup. We consider a polaron model describing the interaction…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pino D'Amico , Dmitry A. Ryndyk , Gianaurelio Cuniberti , Klaus Richter

We present a novel theory of charge-carrier mobilities in organic molecular crystals of high purity. Our approach is based on Holstein's original concept of small-polaron bands but generalized with respect to the inclusion of nonlocal…

Soft Condensed Matter · Physics 2007-05-23 K. Hannewald , P. A. Bobbert

We present a detailed numerical study of the one-dimensional Holstein model with a view to understanding the self-trapping process of electrons or excitons in crystals with short-range particle-lattice interactions. Applying a very…

Strongly Correlated Electrons · Physics 2009-10-30 G. Wellein , H. Fehske

Electrical energy is considered as a fundamental parameter for inclusion in Fermi gas theory, in addition to thermal energy. It is argued that electrical energy can move some electrons to above the Fermi Level, providing free charges to…

Materials Science · Physics 2022-06-15 C. A. M. dos Santos , M. S. da Luz , F. S. Oliveira , L. M. S Alves

We study the Hamiltonian dynamics of a free particle injected onto a chain containing a periodic array of harmonic oscillators in thermal equilibrium. The particle interacts locally with each oscillator, with an interaction that is linear…

Statistical Mechanics · Physics 2007-05-23 Alex A. Silvius , Paul E. Parris , Stephan De Bievre

A single electron in one dimensional lattice is considered within the framework of extended Holstein model at strong-coupling limit. Disordered density-displacement type electron-phonon interaction is proposed. Basic parameters of small…

Strongly Correlated Electrons · Physics 2014-08-21 Bakhrom Yavidov

We investigate the Holstein mechanism in a single-electron (one-site) system, where unitary evolution intrinsically involves both fermion and boson operators under nonadiabatic conditions. The resulting unitary dynamics and boson-frequency…

Disordered Systems and Neural Networks · Physics 2025-12-02 Chen-Huan Wu

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…

Strongly Correlated Electrons · Physics 2019-02-07 F. Hébert , Bo Xiao , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni