Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe_{2}

The ideal honeycomb lattice, featuring sublattice and SU(2) spin rotation symmetries, is a fundamental model for investigating quantum matter with topology and correlations. With the rise of the moiré-based design of model systems, realizing a tunable and symmetric honeycomb lattice system with a na...

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Main Authors: Haining Pan, Eun-Ah Kim, Chao-Ming Jian
Format: Article
Language:English
Published: American Physical Society 2023-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.043173
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author Haining Pan
Eun-Ah Kim
Chao-Ming Jian
author_facet Haining Pan
Eun-Ah Kim
Chao-Ming Jian
author_sort Haining Pan
collection DOAJ
description The ideal honeycomb lattice, featuring sublattice and SU(2) spin rotation symmetries, is a fundamental model for investigating quantum matter with topology and correlations. With the rise of the moiré-based design of model systems, realizing a tunable and symmetric honeycomb lattice system with a narrow bandwidth can open access to new phases and insights. We propose the ABBA-stacked twisted double bilayer WSe_{2} as a realistic and tunable platform for reaching this goal. Adjusting the twist angle allows the bandwidth and the ratio between hopping parameters of different ranges to be tuned. Moreover, the system's small bandwidth and spin rotation symmetry enable effective control of the electronic structure through an in-plane magnetic field. We construct an extended Hubbard model for the system to demonstrate this tunability and explore possible ordered phases using the Hartree-Fock approximation. We find that at a hole filling of ν=2 (two holes per moiré unit cell), an in-plane magnetic field of a few tesla can “dope” the system from a semimetal to a metal. Interactions then drive an instability towards a canted antiferromagnetic insulator ground state. Additionally, we observe a competing insulating phase with sublattice charge polarization. Finally, we discuss the experimental signatures of these insulating phases.
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spelling doaj.art-0b094b6aa3ca4f08a99b48bb0ad8025f2024-04-12T17:36:25ZengAmerican Physical SocietyPhysical Review Research2643-15642023-11-015404317310.1103/PhysRevResearch.5.043173Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe_{2}Haining PanEun-Ah KimChao-Ming JianThe ideal honeycomb lattice, featuring sublattice and SU(2) spin rotation symmetries, is a fundamental model for investigating quantum matter with topology and correlations. With the rise of the moiré-based design of model systems, realizing a tunable and symmetric honeycomb lattice system with a narrow bandwidth can open access to new phases and insights. We propose the ABBA-stacked twisted double bilayer WSe_{2} as a realistic and tunable platform for reaching this goal. Adjusting the twist angle allows the bandwidth and the ratio between hopping parameters of different ranges to be tuned. Moreover, the system's small bandwidth and spin rotation symmetry enable effective control of the electronic structure through an in-plane magnetic field. We construct an extended Hubbard model for the system to demonstrate this tunability and explore possible ordered phases using the Hartree-Fock approximation. We find that at a hole filling of ν=2 (two holes per moiré unit cell), an in-plane magnetic field of a few tesla can “dope” the system from a semimetal to a metal. Interactions then drive an instability towards a canted antiferromagnetic insulator ground state. Additionally, we observe a competing insulating phase with sublattice charge polarization. Finally, we discuss the experimental signatures of these insulating phases.http://doi.org/10.1103/PhysRevResearch.5.043173
spellingShingle Haining Pan
Eun-Ah Kim
Chao-Ming Jian
Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe_{2}
Physical Review Research
title Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe_{2}
title_full Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe_{2}
title_fullStr Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe_{2}
title_full_unstemmed Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe_{2}
title_short Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe_{2}
title_sort realizing a tunable honeycomb lattice in abba stacked twisted double bilayer wse 2
url http://doi.org/10.1103/PhysRevResearch.5.043173
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AT eunahkim realizingatunablehoneycomblatticeinabbastackedtwisteddoublebilayerwse2
AT chaomingjian realizingatunablehoneycomblatticeinabbastackedtwisteddoublebilayerwse2