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A model of particle interacting with quantum field is considered. The model includes as particular cases the polaron model and non-relativistic quantum electrodynamics. We compute matrix elements of the evolution operator in the stochastic…

Quantum Physics · Physics 2009-10-31 L. Accardi , S. V. Kozyrev , I. V. Volovich

We study here polaron (soliton) states of electrons or holes in a model describing carbon-type nanotubes. In the Hamiltonian of the system we take into account the electron-phonon interaction that arises from the deformation dependencies of…

Other Condensed Matter · Physics 2007-05-23 L. Brizhik , A. Eremko , B. Piette , M. Watson , W. Zakrzewski

The effect of a solid-vacuum interface on the properties of a strongly coupled electron-phonon system is analyzed using dynamical mean-field theory to solve the Holstein model in a semi-infinite cubic lattice. Polaron formation is found to…

Strongly Correlated Electrons · Physics 2015-05-13 Reza Nourafkan , Massimo Capone , Nasser Nafari

Many-polaron systems with finite charge-carrier density are often encountered experimentally. However, until recently, no satisfactory theoretical description of these systems was available even in the framework of simple models such as the…

Strongly Correlated Electrons · Physics 2009-11-11 Martin Hohenadler , Georg Hager , Gerhard Wellein , Holger Fehske

We introduce a model of a nonlinear double-barrier structure, to describe in a simple way the effects of electron-electron scattering while remaining analytically tractable. The model is based on a generalized effective-mass equation where…

Condensed Matter · Physics 2009-10-28 Enrique Diez , Angel Sanchez , Francisco Dominguez-Adame

We propose a mechanism of energy relaxation for carriers confined in a non-polar quantum dot surrounded by an amorphous polar environment. The carrier transitions are due to their interaction with the oscillating electric field induced by…

Mesoscale and Nanoscale Physics · Physics 2008-08-08 A. N. Poddubny , S. V. Goupalov , V. I. Kozub , I. N. Yassievich

Electron-positron clusters are studied using a quantum hydrodynamic model that includes Coulomb and exchange interactions. A variational Lagrangian method is used to determine their stationary and dynamical properties. The cluster static…

Plasma Physics · Physics 2012-12-03 Giovanni Manfredi , Paul-Antoine Hervieux , Fernando Haas

We use the Variational Exact Diagonalization to investigate the single polaron properties for four different dual models, combining a short-range off-diagonal (Peierls) plus a longer-range diagonal (Holstein or breathing-mode) coupling.…

Strongly Correlated Electrons · Physics 2022-08-31 Monodeep Chakraborty , Sankeerth S. Narayan , Vigneshwaran R. , Mona Berciu

We present a first-principles approach for calculating phonon-polariton dispersion relations. In this approach, phonon-photon interaction is described by quantization of a Hamiltonian that describes harmonic lattice vibrations coupled with…

Materials Science · Physics 2026-01-13 Olle Hellman , Leeor Kronik

Dynamical simulations of polaron transport in conjugated polymers in the presence of an external time-dependent electric field have been performed within a combined extended Hubbard model (EHM) and Su-Schrieffer-Heeger (SSH) model. Nearly…

Materials Science · Physics 2016-09-28 Haibo Ma , Ulrich Schollwoeck

In the resonance model, high-frequency quasi-periodic oscillations (QPOs) are supposed to be a consequence of nonlinear resonance between modes of oscillations occurring within the innermost parts of an accretion disk. Several models with a…

Astrophysics · Physics 2007-05-23 J. Horak

We consider an electron-phonon system in two and three dimensions on square, hexagonal and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a…

Statistical Mechanics · Physics 2009-10-31 N. Macris , C. -A. Piguet

We consider transport through a vibrating molecular quantum dot contacted to macroscopic leads acting as charge reservoirs. In the equilibrium and nonequilibrium regime, we study the formation of a polaron-like transient state at the…

Strongly Correlated Electrons · Physics 2015-06-04 T. Koch , H. Fehske , J. Loos

We present a detailed and self-contained theoretical study of polarons in two-dimensional (2D) polar materials, which extends the classical macroscopic theory of Fr\"ohlich polarons to the 2D case. The theory is fully determined by…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 A. Kudlis , V. Shahnazaryan , I. V. Tokatly

We construct a many-body model Hamiltonian to capture how phonons renormalize exciton binding as a function of temperature. By using the GW approximation and density functional perturbation theory, we are able to parameterize this…

Materials Science · Physics 2026-03-25 Rohit Rana , Eric R. Heller , Antonios M. Alvertis , Jeffrey B. Neaton , David T. Limmer

This article reviews recent theoretical developments in the ab initio study of polarons in materials. The polaron is an emergent quasiparticle that arises from the interaction between electrons and phonons in solids, and consists of an…

Materials Science · Physics 2025-12-09 Zhenbang Dai , Jon Lafuente-Bartolome , Feliciano Giustino

We find for the first time the ground state energy and the optical absorption spectra for N electrons (holes) interacting with each other and with the longitudinal optical (LO) phonons at an arbitrary electron-phonon coupling strength…

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

Describing electron-phonon interactions in a solid requires knowledge of the electron-phonon matrix elements in the Hamiltonian. State-of-the-art first-principles calculations for the electron-phonon interaction are limited to the…

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

We propose a macroscopic theory of optical phonons, Fr{\"o}hlich polarons, and exciton-polarons in two-dimensional (2D) polar crystalline monolayers. Our theory extends the classical macroscopic formulation of the electron-phonon problem in…

Mesoscale and Nanoscale Physics · Physics 2025-03-05 V. Shahnazaryan , A. Kudlis , I. V. Tokatly