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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Main Authors: | , , |
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Other Authors: | |
Format: | Article |
Language: | English |
Published: |
2011
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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 |
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. |
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