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PreprintCC BY-NC-ND 4.0arXiv

Real-Time Relaxation Dynamics of Dark Excitons in Mirror-Symmetric Monolayers

  • Rishabh Saraswat
  • Mantasha Ansari
  • Rekha Verma
  • Sitangshu Bhattacharya
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Abstract

Symmetry governs which exciton-phonon (\textit{exc-ph}) scattering channels \textit{can} exist, but not which a relaxing exciton actually uses. Combining group theory with \textit{ab initio} many-body perturbation theory, we derive the mirror parity σh, of finite-momentum excitons in planar D3h monolayers, and form exact \textit{exc-ph} selection rules that hold across the whole Brillouin zone. The parity of the lowest exciton band changes across a closed contour. The even phonons connect states of the same parity, while odd phonons connect states of opposite parity. We use these rules to compute exciton linewidths and we solve the real-time Boltzmann transport equation for monolayer GaN as the test case and benchmark it against monolayer \textit{h}BN.

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Cite

BibTeXRIS
BibTeX
@misc{saraswat2026realtime,
  title = {{Real-Time Relaxation Dynamics of Dark Excitons in Mirror-Symmetric Monolayers}},
  author = {Rishabh Saraswat and Mantasha Ansari and Rekha Verma and Sitangshu Bhattacharya},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12996},
  eprint = {2610.12996},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12996},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Real-Time Relaxation Dynamics of Dark Excitons in Mirror-Symmetric Monolayers
AU  - Rishabh Saraswat
AU  - Mantasha Ansari
AU  - Rekha Verma
AU  - Sitangshu Bhattacharya
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.12996
UR  - https://arxiv.org/abs/2610.12996
AB  - Symmetry governs which exciton-phonon (\textit{exc-ph}) scattering channels \textit{can} exist, but not which a relaxing exciton actually uses. Combining group theory with \textit{ab initio} many-body perturbation theory, we derive the mirror parity σ_h, of finite-momentum excitons in planar D_3h monolayers, and form exact \textit{exc-ph} selection rules that hold across the whole Brillouin zone. The parity of the lowest exciton band changes across a closed contour. The even phonons connect states of the same parity, while odd phonons connect states of opposite parity. We use these rules to compute exciton linewidths and we solve the real-time Boltzmann transport equation for monolayer GaN as the test case and benchmark it against monolayer \textit{h}BN.
ER  -