Polaron Dynamics on the Nonlinear Lattice in the Su-Schrieffer-Heeger Approximation. Exact and Approximate Solutions

• Authors: T. Astakhova , V. Kashin , V. Likhachev , G. Vinogradov
• Languages of publication: EN

Abstracts

EN

We investigate the polaron dynamics on the nonlinear lattice with the cubic nonlinearity in the tight-binding approximation. The electron-phonon interaction is accounted in the Su-Schrieffer-Heeger approximation. The system of nonlinear partial differential equations is derived in the continuum approximation. It has an exact solution at a special relation between parameters of lattice nonlinearity α and electron-phonon interaction χ. An approximate analytical solution is obtained at arbitrary parameters α and χ. Results of the numeric simulations are in a good agreement with the analytical predictions in both cases. The range of parameter values, where theoretical formulae are valid, is determined.

Keywords

EN

71.38.-k; 72.10.Di

Discipline

• 71.38.-k: Polarons and electron-phonon interactions(see also 63.20.K- Phonon interactions in lattice dynamics)
• 72.10.Di: Scattering by phonons, magnons, and other nonlocalized excitations(see also 71.45.-d Collective effects in electronic structure of bulk materials)

• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 129
• Issue: 3
• Pages: 334-339

Dates

published

2016-03

received

2015-04-09

(unknown)

2015-1-019

Contributors

author

T. Astakhova

• Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Kosygina 4, Moscow 119991, Russian Federation

author

V. Kashin

• Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Kosygina 4, Moscow 119991, Russian Federation

author

V. Likhachev

• Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Kosygina 4, Moscow 119991, Russian Federation

author

G. Vinogradov

• Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Kosygina 4, Moscow 119991, Russian Federation

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Identifiers

DOI

10.12693/APhysPolA.129.334