On the Munn-Silbey approach to nonlocal exciton-phonon coupling

A canonical transformation method originally proposed by Munn and Silbey is used to partially diagonalize a model Hamiltonian which incorporates both local and nonlocal exciton-phonon coupling. At the heart of the method is a secular elimination principle which poses a difficult self-consistency pro...

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Bibliographic Details
Main Authors: Brown, David W., Zhao, Yang, Lindenberg, Katja
Other Authors: School of Materials Science & Engineering
Format: Article
Language:English
Published: 2011
Subjects:
Online Access:https://hdl.handle.net/10356/90493
http://hdl.handle.net/10220/6742
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Institution: Nanyang Technological University
Language: English
Description
Summary:A canonical transformation method originally proposed by Munn and Silbey is used to partially diagonalize a model Hamiltonian which incorporates both local and nonlocal exciton-phonon coupling. At the heart of the method is a secular elimination principle which poses a difficult self-consistency problem. A limited form of this self-consistency problem was solved in an approximate fashion by primarily analytical methods in the original work of Munn and Silbey. We take a numerical approach, solving the general self-consistency problem to desired accuracy. Among the differences between our findings and those of the original work are polaron binding energies much larger and Debye-Waller factors much smaller than originally anticipated.