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Polarons in quasi-one-dimensional systems

David CampbellTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545A. R. BishopTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545K. FesserTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
1982en
ABI

Abstract

We discuss the nature of polaron excitations in two models of current interest in the study of quasi-one-dimensional materials: the coupled electron-phonon and molecular-crystal models. Using for definiteness parameters appropriate to trans-${(\mathrm{CH})}_{x}$, we show that, although qualitatively very similar, the two polarons differ quantitatively in many respects. We then consider the very weakly bound polaron limit and show that here the two polarons become identical. We indicate that this limit, although not applicable to trans-${(\mathrm{CH})}_{x}$, may be relevant to other interesting quasi-one-dimensional materials.

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