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Polarons, introduced by Davydov to explain energy transport in $\alpha$-helices, correspond to electrons localised on a few lattice sites because of their interaction with phonons. While the static polaron field configurations have been…

Statistical Mechanics · Physics 2015-05-30 B. Chakrabarti , B. M. A. G. Piette , W. J. Zakrzewski

We study the propagation of $\alpha$-helix polarons in a model describing the non-adiabatic interaction between an electron and a lattice of quantum mechanical oscillators at physiological temperature. We show that when excited by a…

Other Condensed Matter · Physics 2018-07-16 Jingxi Luo , Bernard M. A. G. Piette

Polarity fields are known to exhibit long distance patterns, in both physical and biological systems. The mechanisms behind such patterns are poorly understood. Here, we describe the dynamics of polarity fields using an original physical…

Biological Physics · Physics 2019-07-24 Maryam Aliee , Arezki Boudaoud

Numerical modeling is used to investigate the dynamics of a polaron in a chain with small random Langevin-like perturbations which imitate the environmental temperature $T$ and under the influence of a constant electric field. In the…

Statistical Mechanics · Physics 2020-07-07 Nadezhda S. Fialko , Victor D. Lakhno

Lead halide perovskite semiconductors are soft, polar, materials. The strong driving force for polaron formation (the dielectric electron-phonon coupling) is balanced by the light band effective-masses, leading to a strongly-interacting…

Materials Science · Physics 2017-11-15 Jarvist Moore Frost

In this work, we consider the motion of a polaron in a polynucleotide Holstein molecular chain in a constant electric field. It is shown that the character of the polaron motion in the chain depends not only on the chosen parameters of the…

Statistical Mechanics · Physics 2022-01-26 A. N. Korshunova , V. D. Lakhno

In the present study we revise the possible polaron contribution to the charge and energy transfer over long distances in biomolecules like DNA. The harmonic and the simple inharmonic ($U(x) = x^2/2 - \beta x^3/3$) lattices are considered.…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 T. Yu. Astakhova , V. N. Likhachev , G. A. Vinogradov

We study the impact of an external magnetic field on the long-range electron transport in quasi-one-dimensional materials, such as polypeptides, (semi-) conducting polymers and macromolecules, taking into account the electron-lattice…

Soft Condensed Matter · Physics 2026-03-11 Larissa Brizhik , B. M. A. G. Piette

Charge carriers in organic semiconductors form polarons, which are self-localized states stabilized by interactions with their environment. Using a dielectric-stabilized tight-binding model parameterized from first-principles calculations,…

Materials Science · Physics 2025-10-22 Vishal Jindal , Scott T. Milner

The electron-positron annihilation process is investigated within the framework of Podolsky's generalized electrodynamics at finite temperature. In this theory, a higher-derivative term modifies the photonic kinetic sector, introducing a…

High Energy Physics - Theory · Physics 2025-09-09 D. S. Cabral , L. A. S. Evangelista , L. H. A. R. Ferreira , A. F. Santos

Path-integral approach to the tight-binding polaron is extended to multiple optical phonon modes of arbitrary dispersion and polarization. The non-linear lattice effects are neglected. Only one electron band is considered. The…

Strongly Correlated Electrons · Physics 2009-11-11 Pavel Kornilovitch

In this work we provide a comprehensive review of theoretical and experimental studies of the properties of polarons formed by mobile impurities strongly interacting with quantum many-body systems. We present a unified perspective on the…

The propagation of the collective surface plasmons, called plasmon-polaritons, in infinite equidistant ionic sphere chain has been analyzed. The ideal cancellation of irradiative losses of these ionic excitations in the chain is…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 Witold Jacak

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

The Davydov model of energy transfer in molecular chains is reconsidered assuming the distance dependence of the exciton hopping term. New equations of motion for phonons and excitons are derived within the coherent state approximation.…

Condensed Matter · Physics 2009-10-28 E. A. Bartnik , J. A. Tuszynski , D. Sept

We present an abstract Dyson expansion for perturbations that are merely relatively form-bounded, and apply it to the polaron problem. For a large class of polaron-type models, including the Fr\"ohlich and Nelson models, we prove that the…

Mathematical Physics · Physics 2025-12-16 Davide Desio , Robert Seiringer

The lineshape of spectroscopic transitions offer windows into the local environment of a system. Here, we present a novel approach for connecting the lineshape of a molecular exciton to finite-temperature lattice vibrations within the…

Pattern Formation and Solitons · Physics 2022-03-14 Eric R. Bittner , Carlos Silva , S. A. Shah , Hao Li

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

One important development in interaction potential models, or atomistic force fields, for molecular simulation is the inclusion of explicit polarisation, which represents the induction effects of charged or polar molecules on polarisable…

Soft Condensed Matter · Physics 2017-05-25 Agílio A. H. Pádua

The electromechanical response of polymeric soft matter to applied electric fields is of fundamental scientific interest as well as relevant to technologies for sensing and actuation. Several existing theoretical and numerical approaches…

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