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SELF-TRAPPING IN AN ASYMMETRIC TWO-SITE HOLSTEIN MODEL

C. A. BUSTAMANTE

Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile

Current address: Olmué 122-D. Dept. 21, Ñuñoa, Santiago, Chile.

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and

M. I. MOLINA

Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile

Corresponding author.

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https://doi.org/10.1142/S0217979203018144Cited by:1 (Source: Crossref)

Abstract

We examine numerically the long-time average probability in a two-site system, for finding an electron staying at an initially occupied site for an asymmetric quantum Holstein electron-phonon coupled model. The principal finding is the existence of quantum-mechanical resonant tunnelling channels in the electron localization phenomenon. Based on a strong-coupling perturbative analysis, we have explained the presence of the channels as a consequence of a general resonant effect on an effective two-level system. Finally, a comparison of the quantum problem with the semiclassical description given by the Discrete Nonlinear Schrödinger equation is performed.

Keywords:

PACS: 71.38.+i, 63.20.kr, 63.20.pw

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