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PreprintCC BY 4.0arXiv

Emerging network model in a twisted monolayer-rhombohedral graphene

  • Juyoung Song
  • Jeyong Park
  • Jinhong Park
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Abstract

We investigate the coexistence of localized states and propagating one-dimensional (1D) modes in graphene moiré systems. We first show within a minimal model that a spatially varying scalar potential can confine localized states, while sign changes of a staggered potential generate 1D modes along the resulting domain walls. These two types of states can coexist within the same finite energy window and form a hybrid network. We then demonstrate a microscopic realization of this mechanism in twisted monolayer-rhombohedral N-layer graphene. Band structures, energy contours, and Bloch wave functions obtained in a realistic parameter regime reveal the coexistence of localized nearly flat-band states and propagating quasi-1D modes. Our results establish twisted monolayer-rhombohedral graphene as a promising platform for realizing hybrid electronic networks with coexisting states of distinct effective dimensionalities.

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Cite

BibTeXRIS
BibTeX
@misc{song2026emerging,
  title = {{Emerging network model in a twisted monolayer-rhombohedral graphene}},
  author = {Juyoung Song and Jeyong Park and Jinhong Park},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2607.29049},
  eprint = {2607.29049},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.29049},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Emerging network model in a twisted monolayer-rhombohedral graphene
AU  - Juyoung Song
AU  - Jeyong Park
AU  - Jinhong Park
PY  - 2026
DA  - 2026/08/27
PB  - arXiv
DO  - 10.48550/arxiv.2607.29049
UR  - https://arxiv.org/abs/2607.29049
AB  - We investigate the coexistence of localized states and propagating one-dimensional (1D) modes in graphene moiré systems. We first show within a minimal model that a spatially varying scalar potential can confine localized states, while sign changes of a staggered potential generate 1D modes along the resulting domain walls. These two types of states can coexist within the same finite energy window and form a hybrid network. We then demonstrate a microscopic realization of this mechanism in twisted monolayer-rhombohedral N-layer graphene. Band structures, energy contours, and Bloch wave functions obtained in a realistic parameter regime reveal the coexistence of localized nearly flat-band states and propagating quasi-1D modes. Our results establish twisted monolayer-rhombohedral graphene as a promising platform for realizing hybrid electronic networks with coexisting states of distinct effective dimensionalities.
ER  -