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The Self-Trapping Line of the Holstein Molecular Crystal Model in One Dimension

A. H. Romero, David W. Brown, Katja Lindenberg

cond-matarXiv:cond-mat/9806031

Abstract

The ground state of the Holstein molecular crystal model in one dimension is studied using the Global-Local variational method, analyzing in particular the total energy, kinetic energy, phonon energy, and interaction energy over a broad region of the polaron parameter space. Through the application of objective criteria, a unique curve is identified that simply, accurately, and robustly locates the self-trapping transition separating small polaron and large polaron behavior.

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