Nonlinear Hall Quantum Oscillations to Probe Topological Brown-Zak Fermions in Graphene Moiré Systems.

Authors

Jinrui Zhong, Huimin Peng, Yuqing Hu, Qi Feng, Qiuli Li, Shihao Zhang, Qinsheng Wang, Jinhai Mao, Junxi Duan, Yugui Yao

Published in

Physical review letters. Volume 136. Issue 24. Pages 246301. Jun 19, 2026.

Abstract

Because of the deep connection with the quantum geometry of electronic Bloch wave functions, the second-order nonlinear Hall effect (NLHE) has been an attractive topic since its proposal. However, studies on NLHE under a magnetic field have been lacking. Given that quantum oscillations in the linear response regime have been proven to be useful tools in investigating electronic systems, searching for quantum oscillations in NLHE is of great interest and is expected to provide new avenues to unveil rich quantum geometric properties of novel quasiparticles. Here, we propose a new type of NLHE quantum oscillations and experimentally probe it in graphene moiré systems. It stems from the alternation of the dominant NLHE mechanisms with recurring Bloch states under magnetic field, which enables sensitive detection of Brown-Zak fermions, giving an onset field as low as 0.5 T. Most importantly, when the commensurability condition is satisfied, the nonlinear transport of Brown-Zak fermions is mainly governed by quantum geometric contributions. Our findings not only establish a new type of quantum oscillations, but also demonstrate the first experimental detection of the topological nature of Brown-Zak fermions, shedding light on the exploration of novel topological quasiparticles.

PMID:
42412464
Bibliographic data and abstract were imported from PubMed on 07 Jul 2026.

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