Magic continuum in multi-moiré twisted trilayer graphene

Fuente: arXiv
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Autores principales: Xia, Li-Qiao, Uri, Aviram, Yan, Jiaojie, Sharpe, Aaron, Gaggioli, Filippo, Ticea, Nicole S., May-Mann, Julian, Watanabe, Kenji, Taniguchi, Takashi, Fu, Liang, Devakul, Trithep, Smet, Jurgen H., Jarillo-Herrero, Pablo
Formato: Preprint
Publicado: 2025
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author Xia, Li-Qiao
Uri, Aviram
Yan, Jiaojie
Sharpe, Aaron
Gaggioli, Filippo
Ticea, Nicole S.
May-Mann, Julian
Watanabe, Kenji
Taniguchi, Takashi
Fu, Liang
Devakul, Trithep
Smet, Jurgen H.
Jarillo-Herrero, Pablo
author_facet Xia, Li-Qiao
Uri, Aviram
Yan, Jiaojie
Sharpe, Aaron
Gaggioli, Filippo
Ticea, Nicole S.
May-Mann, Julian
Watanabe, Kenji
Taniguchi, Takashi
Fu, Liang
Devakul, Trithep
Smet, Jurgen H.
Jarillo-Herrero, Pablo
contents Moiré lattices provide a highly tunable platform for exploring the interplay between electronic correlations and band topology. Introducing a second moiré pattern extends this paradigm: interference between the two moiré patterns produces a supermoiré modulation, opening a route to further tailor electronic properties. Twisted trilayer graphene generally exemplifies such a system: two distinct moiré patterns arise from the relative twists between adjacent graphene layers. Here, we report the observation of correlated phenomena across a wide range of twisted trilayer graphene devices whose twist angles lie along two continuous lines in the twist-angle parameter space. Depending on the degree of lattice relaxation, twisted trilayer graphene falls into two classes: moiré polycrystals, composed of periodic domains with locally commensurate moiré order, and moiré quasicrystals, characterized by smoothly varying local moiré configurations. In helically twisted moiré polycrystals, we observe an anomalous Hall effect, consistent with topological bands arising from domains with broken $xy$-inversion symmetry. In contrast, superconductivity appears generically in our moiré quasicrystals. A subset of these systems exhibits signatures of spatially modulated superconductivity, which we attribute to the supermoiré structure. Our findings uncover the organizing principles of the observed correlated phases in twisted trilayer graphene, highlight the critical roles of the supermoiré modulation and lattice relaxation, and suggest a broader framework in which magic conditions arise not as isolated points but as extended manifolds within the multi-dimensional twist-angle space of complex moiré materials.
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publishDate 2025
record_format arxiv
spellingShingle Magic continuum in multi-moiré twisted trilayer graphene
Xia, Li-Qiao
Uri, Aviram
Yan, Jiaojie
Sharpe, Aaron
Gaggioli, Filippo
Ticea, Nicole S.
May-Mann, Julian
Watanabe, Kenji
Taniguchi, Takashi
Fu, Liang
Devakul, Trithep
Smet, Jurgen H.
Jarillo-Herrero, Pablo
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Superconductivity
Moiré lattices provide a highly tunable platform for exploring the interplay between electronic correlations and band topology. Introducing a second moiré pattern extends this paradigm: interference between the two moiré patterns produces a supermoiré modulation, opening a route to further tailor electronic properties. Twisted trilayer graphene generally exemplifies such a system: two distinct moiré patterns arise from the relative twists between adjacent graphene layers. Here, we report the observation of correlated phenomena across a wide range of twisted trilayer graphene devices whose twist angles lie along two continuous lines in the twist-angle parameter space. Depending on the degree of lattice relaxation, twisted trilayer graphene falls into two classes: moiré polycrystals, composed of periodic domains with locally commensurate moiré order, and moiré quasicrystals, characterized by smoothly varying local moiré configurations. In helically twisted moiré polycrystals, we observe an anomalous Hall effect, consistent with topological bands arising from domains with broken $xy$-inversion symmetry. In contrast, superconductivity appears generically in our moiré quasicrystals. A subset of these systems exhibits signatures of spatially modulated superconductivity, which we attribute to the supermoiré structure. Our findings uncover the organizing principles of the observed correlated phases in twisted trilayer graphene, highlight the critical roles of the supermoiré modulation and lattice relaxation, and suggest a broader framework in which magic conditions arise not as isolated points but as extended manifolds within the multi-dimensional twist-angle space of complex moiré materials.
title Magic continuum in multi-moiré twisted trilayer graphene
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Superconductivity
url https://arxiv.org/abs/2509.03583