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PreprintCC BY 4.0arXiv

Fractional Chern insulators and composite Fermi liquids vs. charge order in twisted MoTe2

  • Enrique Aguilar-Méndez
  • Glenn Wagner
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Abstract

The bandstructure of twisted MoTe2 around 3.7∘ consists of spin-valley locked Chern bands with a bandwidth that is smaller than the interaction scale. As such, the strongly correlated phases familiar from Landau levels can be realized: Quantum Hall states, composite Fermi liquids and charge order. These states have in common that they are all favoured by strong interactions, however changing the quantum geometry and topology of the bands as well as their bandwidth via the displacement field and twist angle tilts the balance between them. We provide a comprehensive exact diagonalization analysis of the competition between these states and in particular elucidate the nature of the charge order at fillings ν=−1/4,−1/3,−1/2,−2/3. Furthermore, we analyze the effect of band mixing by going beyond a single band per valley. This effect of band mixing is crucial for reconciling the numerical phase diagrams with experimental observations.

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Cite

BibTeXRIS
BibTeX
@misc{aguilarmendez2026fractional,
  title = {{Fractional Chern insulators and composite Fermi liquids vs. charge order in twisted MoTe$_2$}},
  author = {Enrique Aguilar-Méndez and Glenn Wagner},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22479},
  eprint = {2610.22479},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22479},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Fractional Chern insulators and composite Fermi liquids vs. charge order in twisted MoTe_2
AU  - Enrique Aguilar-Méndez
AU  - Glenn Wagner
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22479
UR  - https://arxiv.org/abs/2610.22479
AB  - The bandstructure of twisted MoTe_2 around 3.7^∘ consists of spin-valley locked Chern bands with a bandwidth that is smaller than the interaction scale. As such, the strongly correlated phases familiar from Landau levels can be realized: Quantum Hall states, composite Fermi liquids and charge order. These states have in common that they are all favoured by strong interactions, however changing the quantum geometry and topology of the bands as well as their bandwidth via the displacement field and twist angle tilts the balance between them. We provide a comprehensive exact diagonalization analysis of the competition between these states and in particular elucidate the nature of the charge order at fillings ν=−1/4,−1/3,−1/2,−2/3. Furthermore, we analyze the effect of band mixing by going beyond a single band per valley. This effect of band mixing is crucial for reconciling the numerical phase diagrams with experimental observations.
ER  -