Magnetic Bloch States at Integer Flux Quanta Induced by Super-moiré Potential in Graphene Aligned with Twisted Boron Nitride

Fuente: arXiv
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Auteurs principaux: Ma, Yaqi, Huang, Meizhen, Zhang, Xu, Hu, Weixiong, Zhou, Zishu, Feng, Kai, Li, Wenhui, Chen, Yong, Lou, Chenxuan, Zhang, Weikang, Ji, Haoxi, Wang, Yibo, Wu, Zefei, Cui, Xiaodong, Yao, Wang, Yan, Shichao, Meng, Zi Yang, Wang, Ning
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Publié: 2025
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author Ma, Yaqi
Huang, Meizhen
Zhang, Xu
Hu, Weixiong
Zhou, Zishu
Feng, Kai
Li, Wenhui
Chen, Yong
Lou, Chenxuan
Zhang, Weikang
Ji, Haoxi
Wang, Yibo
Wu, Zefei
Cui, Xiaodong
Yao, Wang
Yan, Shichao
Meng, Zi Yang
Wang, Ning
author_facet Ma, Yaqi
Huang, Meizhen
Zhang, Xu
Hu, Weixiong
Zhou, Zishu
Feng, Kai
Li, Wenhui
Chen, Yong
Lou, Chenxuan
Zhang, Weikang
Ji, Haoxi
Wang, Yibo
Wu, Zefei
Cui, Xiaodong
Yao, Wang
Yan, Shichao
Meng, Zi Yang
Wang, Ning
contents Two-dimensional electron systems in both magnetic fields and periodic potentials are described by Hofstadter butterfly, a fundamental problem of solid-state physics. While moiré systems provide a powerful method to realize this spectrum, previous experiments, however, have been limited to fractional flux quanta regime due to the difficulty of building ~ 50 nm periodic modulations. Here, we demonstrate a super-moiré strategy to overcome this challenge. By aligning monolayer graphene (G) with 1.0° twisted hexagonal boron nitride (t-hBN), a 63.2 nm bichromatic G/t-hBN super-moiré is constructed, made possible by exploiting the electrostatic nature of t-hBN potential. Under magnetic field B, magnetic Bloch states at integer flux quanta (1-9) are achieved and observed as integer Brown-Zak oscillations, expanding the flux quanta from factions to integers. Theoretical analysis reproduces these experimental findings. This work opens new avenues to study unexplored Hofstadter butterfly, explore emergent topological order at integer flux quanta and engineer long-wavelength periodic modulations.
format Preprint
id arxiv_https___arxiv_org_abs_2502_07283
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Magnetic Bloch States at Integer Flux Quanta Induced by Super-moiré Potential in Graphene Aligned with Twisted Boron Nitride
Ma, Yaqi
Huang, Meizhen
Zhang, Xu
Hu, Weixiong
Zhou, Zishu
Feng, Kai
Li, Wenhui
Chen, Yong
Lou, Chenxuan
Zhang, Weikang
Ji, Haoxi
Wang, Yibo
Wu, Zefei
Cui, Xiaodong
Yao, Wang
Yan, Shichao
Meng, Zi Yang
Wang, Ning
Mesoscale and Nanoscale Physics
Two-dimensional electron systems in both magnetic fields and periodic potentials are described by Hofstadter butterfly, a fundamental problem of solid-state physics. While moiré systems provide a powerful method to realize this spectrum, previous experiments, however, have been limited to fractional flux quanta regime due to the difficulty of building ~ 50 nm periodic modulations. Here, we demonstrate a super-moiré strategy to overcome this challenge. By aligning monolayer graphene (G) with 1.0° twisted hexagonal boron nitride (t-hBN), a 63.2 nm bichromatic G/t-hBN super-moiré is constructed, made possible by exploiting the electrostatic nature of t-hBN potential. Under magnetic field B, magnetic Bloch states at integer flux quanta (1-9) are achieved and observed as integer Brown-Zak oscillations, expanding the flux quanta from factions to integers. Theoretical analysis reproduces these experimental findings. This work opens new avenues to study unexplored Hofstadter butterfly, explore emergent topological order at integer flux quanta and engineer long-wavelength periodic modulations.
title Magnetic Bloch States at Integer Flux Quanta Induced by Super-moiré Potential in Graphene Aligned with Twisted Boron Nitride
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2502.07283