Coulomb Interaction in Atomically Thin Semiconductors and Density-Independent Exciton-Scattering Processes
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914329913196544 |
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| author | Mittenzwey, Henry Knorr, Andreas Deilmann, Thorsten |
| author_facet | Mittenzwey, Henry Knorr, Andreas Deilmann, Thorsten |
| contents | In quantum-kinetic approaches to the dynamics of Coulomb-bound many-body correlations such as excitons, trions, biexcitons or higher-order correlations, a detailed knowledge of the many-body Coulomb Hamiltonian serving as a starting point is important. In this manuscript, the second-quantized description of the Coulomb interaction between Bloch electrons in a Heisenberg-equation-of-motion approach in atomically thin semiconductors is derived and reviewed. Emphasis is put on a discussion of Umklapp processes and the dielectric screening including all local-field effects. A link between \textit{ab initio} methods of screening and few-band models in effective-mass approximations for the quantum kinetics is established and all important Coulomb scattering processes contributing to the exciton energy landscape and density-independent exciton scattering are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13763 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Coulomb Interaction in Atomically Thin Semiconductors and Density-Independent Exciton-Scattering Processes Mittenzwey, Henry Knorr, Andreas Deilmann, Thorsten Mesoscale and Nanoscale Physics In quantum-kinetic approaches to the dynamics of Coulomb-bound many-body correlations such as excitons, trions, biexcitons or higher-order correlations, a detailed knowledge of the many-body Coulomb Hamiltonian serving as a starting point is important. In this manuscript, the second-quantized description of the Coulomb interaction between Bloch electrons in a Heisenberg-equation-of-motion approach in atomically thin semiconductors is derived and reviewed. Emphasis is put on a discussion of Umklapp processes and the dielectric screening including all local-field effects. A link between \textit{ab initio} methods of screening and few-band models in effective-mass approximations for the quantum kinetics is established and all important Coulomb scattering processes contributing to the exciton energy landscape and density-independent exciton scattering are discussed. |
| title | Coulomb Interaction in Atomically Thin Semiconductors and Density-Independent Exciton-Scattering Processes |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2602.13763 |