Polaron Dynamics on the Nonlinear Lattice in the Su-Schrieffer-Heeger Approximation. Exact and Approximate Solutions |
| T.Yu. Astakhova, V.A. Kashin, V.N. Likhachev and G.A. Vinogradov
Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Kosygina 4, Moscow 119991, Russian Federation |
| Received: April 9, 2015; In final form: October 19, 2015 |
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| 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. |
DOI: 10.12693/APhysPolA.129.334 PACS numbers: 71.38.-k, 72.10.Di |