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PreprintCC BY 4.0arXiv

Anyonic molecules through the trion looking glass

  • Hao-Ran Cui
  • Vladimir Calvera
  • Umang Mehta
  • Hart Goldman
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Abstract

Motivated by recent optical measurements in twisted MoTe2 homobilayers, we numerically study the binding of itinerant anyons to ordinary electronic bound states. Using a minimal few-body model of an anyon alongside holes and electrons in a Gaussian trapping potential, we show that a fractionally charged bound state comprised of an anyon and an ordinary electronic trion can become favorable nearby local electrostatic defects. The resulting object is an anyonic molecule wherein the anyon is bound to the trion ``nucleus,'' which in turn is localized to the defect and can be excited optically. We find that the resulting anyon-trion can exhibit a photoluminescence red-shift relative to the ordinary trapped trion, with binding on the meV scale for parameters relevant to twisted MoTe2. We find that the value of this red-shift depends on both the anyon's fractional charge and its kinetic energy, thereby encoding both universal and non-universal anyon properties. Our results are qualitatively consistent with observations in twisted MoTe2.

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Cite

BibTeXRIS
BibTeX
@misc{cui2026anyonic,
  title = {{Anyonic molecules through the trion looking glass}},
  author = {Hao-Ran Cui and Vladimir Calvera and Umang Mehta and Hart Goldman},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.30380},
  eprint = {2609.30380},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.30380},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Anyonic molecules through the trion looking glass
AU  - Hao-Ran Cui
AU  - Vladimir Calvera
AU  - Umang Mehta
AU  - Hart Goldman
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.30380
UR  - https://arxiv.org/abs/2609.30380
AB  - Motivated by recent optical measurements in twisted MoTe_2 homobilayers, we numerically study the binding of itinerant anyons to ordinary electronic bound states. Using a minimal few-body model of an anyon alongside holes and electrons in a Gaussian trapping potential, we show that a fractionally charged bound state comprised of an anyon and an ordinary electronic trion can become favorable nearby local electrostatic defects. The resulting object is an anyonic molecule wherein the anyon is bound to the trion ``nucleus,'' which in turn is localized to the defect and can be excited optically. We find that the resulting anyon-trion can exhibit a photoluminescence red-shift relative to the ordinary trapped trion, with binding on the meV scale for parameters relevant to twisted MoTe_2. We find that the value of this red-shift depends on both the anyon's fractional charge and its kinetic energy, thereby encoding both universal and non-universal anyon properties. Our results are qualitatively consistent with observations in twisted MoTe_2.
ER  -