Thermally driven polaron transport in conjugated polymers
We present a hybrid quantum-classical simulation of charge-polaron transport in conjugated polymers. The charge, which couples to the angular rotations of the monomers, is modeled via the time-dependent Schrödinger equation, while the monomers are treated classically via the Ehrenfest equations of m...
| Автори: | , , |
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| Формат: | Journal article |
| Мова: | English |
| Опубліковано: |
American Physical Society
2022
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| _version_ | 1826304313348063232 |
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| author | Berencei, L Barford, W Clark, SR |
| author_facet | Berencei, L Barford, W Clark, SR |
| author_sort | Berencei, L |
| collection | OXFORD |
| description | We present a hybrid quantum-classical simulation of charge-polaron transport in conjugated polymers. The charge, which couples to the angular rotations of the monomers, is modeled via the time-dependent Schrödinger equation, while the monomers are treated classically via the Ehrenfest equations of motion. In addition, the system is thermalized by assuming that the monomers are subject to Brownian fluctuations modeled by the Langevin equation. Charge coupling to the monomer rotations localizes the particle into a Landau polaron, while the thermal fluctuations of the monomers causes polaron dynamics. The emergent low-energy scale of the model is the polaron reorganization energy, Er, and thus Tr=Er/kB is a convenient scale for the low-temperature dynamics. We investigate two types of dynamics; both relevant for temperatures T<Tr. In the lower temperature regime the system remains in the same quasidiabatic state, corresponding to activationless polaron diffusion as the polaron crawls stochastically along the chain. As the temperature is raised, however, there is a cross-over to an additional activated transfer process which corresponds to hopping between diabatic states. We show that these processes exhibit Landau-Zener type dynamics. We note that as our model is general, it equally applies to exciton-polaron (i.e., energy) transport in conjugated polymers, and to charge and exciton polaron transport in quasi one-dimensional molecular stacks. |
| first_indexed | 2024-03-07T06:15:55Z |
| format | Journal article |
| id | oxford-uuid:f1134c4f-1d69-4fb4-a732-86dbb8f5ed37 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:15:55Z |
| publishDate | 2022 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:f1134c4f-1d69-4fb4-a732-86dbb8f5ed372022-03-27T11:53:14ZThermally driven polaron transport in conjugated polymersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f1134c4f-1d69-4fb4-a732-86dbb8f5ed37EnglishSymplectic ElementsAmerican Physical Society2022Berencei, LBarford, WClark, SRWe present a hybrid quantum-classical simulation of charge-polaron transport in conjugated polymers. The charge, which couples to the angular rotations of the monomers, is modeled via the time-dependent Schrödinger equation, while the monomers are treated classically via the Ehrenfest equations of motion. In addition, the system is thermalized by assuming that the monomers are subject to Brownian fluctuations modeled by the Langevin equation. Charge coupling to the monomer rotations localizes the particle into a Landau polaron, while the thermal fluctuations of the monomers causes polaron dynamics. The emergent low-energy scale of the model is the polaron reorganization energy, Er, and thus Tr=Er/kB is a convenient scale for the low-temperature dynamics. We investigate two types of dynamics; both relevant for temperatures T<Tr. In the lower temperature regime the system remains in the same quasidiabatic state, corresponding to activationless polaron diffusion as the polaron crawls stochastically along the chain. As the temperature is raised, however, there is a cross-over to an additional activated transfer process which corresponds to hopping between diabatic states. We show that these processes exhibit Landau-Zener type dynamics. We note that as our model is general, it equally applies to exciton-polaron (i.e., energy) transport in conjugated polymers, and to charge and exciton polaron transport in quasi one-dimensional molecular stacks. |
| spellingShingle | Berencei, L Barford, W Clark, SR Thermally driven polaron transport in conjugated polymers |
| title | Thermally driven polaron transport in conjugated polymers |
| title_full | Thermally driven polaron transport in conjugated polymers |
| title_fullStr | Thermally driven polaron transport in conjugated polymers |
| title_full_unstemmed | Thermally driven polaron transport in conjugated polymers |
| title_short | Thermally driven polaron transport in conjugated polymers |
| title_sort | thermally driven polaron transport in conjugated polymers |
| work_keys_str_mv | AT berenceil thermallydrivenpolarontransportinconjugatedpolymers AT barfordw thermallydrivenpolarontransportinconjugatedpolymers AT clarksr thermallydrivenpolarontransportinconjugatedpolymers |