Spin-conserving Boltzmann theory for carriers and excitons in organic semiconductors
The rise of organic electronics calls for versatile modeling tools. In this context, we develop a semiclassical Boltzmann theory that describes transport and excitonic processes in crystalline organic semiconductors on equal footing. The generation of singlet and triplet excitons out of the ground s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.023068 |
| _version_ | 1797210770339004416 |
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| author | Charlotte Bäcker Linus Thummel Carsten Timm |
| author_facet | Charlotte Bäcker Linus Thummel Carsten Timm |
| author_sort | Charlotte Bäcker |
| collection | DOAJ |
| description | The rise of organic electronics calls for versatile modeling tools. In this context, we develop a semiclassical Boltzmann theory that describes transport and excitonic processes in crystalline organic semiconductors on equal footing. The generation of singlet and triplet excitons out of the ground state, their formation from free electrons and holes, the reverse processes, as well as the fusion and fission of excitons are included. The corresponding scattering integrals respect spin conservation, which requires matrix-valued distribution functions. They also include fermionic and bosonic many-particle effects such as Pauli blocking. We employ a multipole expansion of the distribution functions, where quadrupolar terms turn out to be essential for the triplet excitons. This work provides a basis for the modeling of organic solar cells, in which excitonic processes are crucial for the performance. Moreover, the theory is of general interest for transport and transitions of multiple (quasi-) particle species carrying spin in nonequilibrium systems. |
| first_indexed | 2024-04-24T10:15:52Z |
| format | Article |
| id | doaj.art-249b69c0f15b47489efa0ab5da4f504a |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:15:52Z |
| publishDate | 2022-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-249b69c0f15b47489efa0ab5da4f504a2024-04-12T17:20:17ZengAmerican Physical SocietyPhysical Review Research2643-15642022-04-014202306810.1103/PhysRevResearch.4.023068Spin-conserving Boltzmann theory for carriers and excitons in organic semiconductorsCharlotte BäckerLinus ThummelCarsten TimmThe rise of organic electronics calls for versatile modeling tools. In this context, we develop a semiclassical Boltzmann theory that describes transport and excitonic processes in crystalline organic semiconductors on equal footing. The generation of singlet and triplet excitons out of the ground state, their formation from free electrons and holes, the reverse processes, as well as the fusion and fission of excitons are included. The corresponding scattering integrals respect spin conservation, which requires matrix-valued distribution functions. They also include fermionic and bosonic many-particle effects such as Pauli blocking. We employ a multipole expansion of the distribution functions, where quadrupolar terms turn out to be essential for the triplet excitons. This work provides a basis for the modeling of organic solar cells, in which excitonic processes are crucial for the performance. Moreover, the theory is of general interest for transport and transitions of multiple (quasi-) particle species carrying spin in nonequilibrium systems.http://doi.org/10.1103/PhysRevResearch.4.023068 |
| spellingShingle | Charlotte Bäcker Linus Thummel Carsten Timm Spin-conserving Boltzmann theory for carriers and excitons in organic semiconductors Physical Review Research |
| title | Spin-conserving Boltzmann theory for carriers and excitons in organic semiconductors |
| title_full | Spin-conserving Boltzmann theory for carriers and excitons in organic semiconductors |
| title_fullStr | Spin-conserving Boltzmann theory for carriers and excitons in organic semiconductors |
| title_full_unstemmed | Spin-conserving Boltzmann theory for carriers and excitons in organic semiconductors |
| title_short | Spin-conserving Boltzmann theory for carriers and excitons in organic semiconductors |
| title_sort | spin conserving boltzmann theory for carriers and excitons in organic semiconductors |
| url | http://doi.org/10.1103/PhysRevResearch.4.023068 |
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