Stability diagram of layer-polarized quantum Hall states in twisted trilayer graphene

Fuente: arXiv
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Autori principali: Davydov, Konstantin, Long, Daochen, Tavakley, Jack Alexander, Watanabe, Kenji, Taniguchi, Takashi, Wang, Ke
Natura: Preprint
Pubblicazione: 2025
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author Davydov, Konstantin
Long, Daochen
Tavakley, Jack Alexander
Watanabe, Kenji
Taniguchi, Takashi
Wang, Ke
author_facet Davydov, Konstantin
Long, Daochen
Tavakley, Jack Alexander
Watanabe, Kenji
Taniguchi, Takashi
Wang, Ke
contents In the twisted trilayer graphene (tTLG) platform, the rich beating patterns between the three graphene layers give rise to a plethora of new length scales and reconstructed electronic bands arising from the emergent moiré and moiré-of-moiré superlattices. The co-existing lattices and superlattices interact and compete with each other to determine the overall transport properties of tTLG, the hierarchy of which can be electrostatically controlled by tuning the out-of-plane charge distribution or layer polarization. In this work, we measure the stability diagram of layer-polarized quantum Hall states in tTLG by systematically mapping out layer-specific Chern numbers in each layer, and intra- and interlayer Chern transitions as a function of displacement field D and total carrier density n. In contrast to twisted bilayer systems, the rich interplay between the three atomic layers gives rise to a complex layer-polarized stability diagram with unconventional transport features that evolve rapidly with electric and magnetic fields. The stability diagram quantitatively characterizes the interlayer screening and charge distribution in tTLG with implication of strong inter-atomic-layer Coulomb coupling. Our work provides comprehensive guidance and insights into predicting and controlling layer-polarization and interlayer transitions in tTLG, and for tuning the individual role and interactions of each participating constituent towards novel material properties.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09406
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stability diagram of layer-polarized quantum Hall states in twisted trilayer graphene
Davydov, Konstantin
Long, Daochen
Tavakley, Jack Alexander
Watanabe, Kenji
Taniguchi, Takashi
Wang, Ke
Mesoscale and Nanoscale Physics
Materials Science
In the twisted trilayer graphene (tTLG) platform, the rich beating patterns between the three graphene layers give rise to a plethora of new length scales and reconstructed electronic bands arising from the emergent moiré and moiré-of-moiré superlattices. The co-existing lattices and superlattices interact and compete with each other to determine the overall transport properties of tTLG, the hierarchy of which can be electrostatically controlled by tuning the out-of-plane charge distribution or layer polarization. In this work, we measure the stability diagram of layer-polarized quantum Hall states in tTLG by systematically mapping out layer-specific Chern numbers in each layer, and intra- and interlayer Chern transitions as a function of displacement field D and total carrier density n. In contrast to twisted bilayer systems, the rich interplay between the three atomic layers gives rise to a complex layer-polarized stability diagram with unconventional transport features that evolve rapidly with electric and magnetic fields. The stability diagram quantitatively characterizes the interlayer screening and charge distribution in tTLG with implication of strong inter-atomic-layer Coulomb coupling. Our work provides comprehensive guidance and insights into predicting and controlling layer-polarization and interlayer transitions in tTLG, and for tuning the individual role and interactions of each participating constituent towards novel material properties.
title Stability diagram of layer-polarized quantum Hall states in twisted trilayer graphene
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2504.09406