Lattice model for the quantum anomalous Hall effect in moiré graphene

Ahmed Khalifa; Ganpathy Murthy; Ribhu K. Kaul

doi:10.1103/PhysRevB.107.235137

Lattice model for the quantum anomalous Hall effect in moiré graphene

Ahmed Khalifa
, Ganpathy Murthy
, Ribhu K. Kaul

Producción científica: Article › revisión exhaustiva

3 Citas (Scopus)

Resumen

Inspired by experiments on magic angle-twisted bilayer graphene, we present a lattice mean-field model for the quantum anomalous Hall effect in a moiré setting. Our hopping Hamiltonian provides a simple route to a moiré Chern insulator in commensurately twisted systems. We study our model in the ribbon geometry and demonstrate the presence of thick chiral edge states that have a transverse localization that scales with the moiré lattice spacing. We also study the electronic structure of a domain wall between opposite Chern insulators. Our model and results are relevant to experiments that will image or manipulate the moiré quantum anomalous Hall edge states.

Idioma original	English
Número de artículo	235137
Publicación	Physical Review B
Volumen	107
N.º	23
DOI	https://doi.org/10.1103/PhysRevB.107.235137
Estado	Published - jun 15 2023

Nota bibliográfica

Publisher Copyright:
© 2023 American Physical Society.

Financiación

This work was supported, in part, by NSF DMR-2026947 (A.K. and R.K.K.). G.M. was grateful to the U.S.-Israel BSF for partial support under Grant No. 2016130. G.M. and R.K.K. acknowledge the Aspen Center for Physics, Grant No. NSF PHY-1607611 (G.M., R.K.K.) for its hospitality. G.M. was also grateful to the International Center for Theoretical Sciences, Bangalore for its hospitality while this work was being completed. We are grateful to the University of Kentucky Center for Computational Sciences and Information Technology Services Research Computing for their support and use of the Lipscomb Compute Cluster and associated research computing resources.

Financiadores	Número del financiador
United States-Israel Binational Science Foundation	2016130, PHY-1607611
National Science Foundation Arctic Social Science Program	DMR-2026947

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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title = "Lattice model for the quantum anomalous Hall effect in moir{\'e} graphene",

abstract = "Inspired by experiments on magic angle-twisted bilayer graphene, we present a lattice mean-field model for the quantum anomalous Hall effect in a moir{\'e} setting. Our hopping Hamiltonian provides a simple route to a moir{\'e} Chern insulator in commensurately twisted systems. We study our model in the ribbon geometry and demonstrate the presence of thick chiral edge states that have a transverse localization that scales with the moir{\'e} lattice spacing. We also study the electronic structure of a domain wall between opposite Chern insulators. Our model and results are relevant to experiments that will image or manipulate the moir{\'e} quantum anomalous Hall edge states.",

author = "Ahmed Khalifa and Ganpathy Murthy and Kaul, \{Ribhu K.\}",

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AU - Khalifa, Ahmed

AU - Murthy, Ganpathy

AU - Kaul, Ribhu K.

PY - 2023/6/15

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AB - Inspired by experiments on magic angle-twisted bilayer graphene, we present a lattice mean-field model for the quantum anomalous Hall effect in a moiré setting. Our hopping Hamiltonian provides a simple route to a moiré Chern insulator in commensurately twisted systems. We study our model in the ribbon geometry and demonstrate the presence of thick chiral edge states that have a transverse localization that scales with the moiré lattice spacing. We also study the electronic structure of a domain wall between opposite Chern insulators. Our model and results are relevant to experiments that will image or manipulate the moiré quantum anomalous Hall edge states.

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Lattice model for the quantum anomalous Hall effect in moiré graphene

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ASJC Scopus subject areas

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