Exchange and spin-orbit proximity driven topological and transport phenomena in twisted graphene/CrI$_3$ heterostructures

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Main Authors: Jafari, M., Gmitra, M., Dyrdał, A.
Format: Preprint
Published: 2025
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author Jafari, M.
Gmitra, M.
Dyrdał, A.
author_facet Jafari, M.
Gmitra, M.
Dyrdał, A.
contents We present results of comprehensive first-principles and kp-method studies of electronic, magnetic, and topological properties of graphene on a monolayer of CrI$_3$. First, we identify a twist angle between the graphene and CrI$_3$, that positions the graphene Dirac cones within the bandgap of CrI$_3$. Then, we derive the low-energy effective Hamiltonian describing electronic properties of graphene Dirac cones. Subsequently, we examine anomalous and valley Hall conductivity and discuss possible topological phase transition from a quantum anomalous Hall insulator to a trivial insulating state, concomitant a change in the magnetic ground state of CrI$_3$. These findings highlight the potential of strain engineering in two-dimensional van der Waals heterostructures for controlling topological and magnetic phases.
format Preprint
id arxiv_https___arxiv_org_abs_2509_11670
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exchange and spin-orbit proximity driven topological and transport phenomena in twisted graphene/CrI$_3$ heterostructures
Jafari, M.
Gmitra, M.
Dyrdał, A.
Mesoscale and Nanoscale Physics
Materials Science
We present results of comprehensive first-principles and kp-method studies of electronic, magnetic, and topological properties of graphene on a monolayer of CrI$_3$. First, we identify a twist angle between the graphene and CrI$_3$, that positions the graphene Dirac cones within the bandgap of CrI$_3$. Then, we derive the low-energy effective Hamiltonian describing electronic properties of graphene Dirac cones. Subsequently, we examine anomalous and valley Hall conductivity and discuss possible topological phase transition from a quantum anomalous Hall insulator to a trivial insulating state, concomitant a change in the magnetic ground state of CrI$_3$. These findings highlight the potential of strain engineering in two-dimensional van der Waals heterostructures for controlling topological and magnetic phases.
title Exchange and spin-orbit proximity driven topological and transport phenomena in twisted graphene/CrI$_3$ heterostructures
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2509.11670