One-dimensional Luttinger liquids in a two-dimensional moiré lattice

Wang, Pengjie; Guo, Yu; Kwan, Yves H.; Jia, Yanyu; Lei, Shiming; Klemenz, Sebastian; Cevallos, F. Alex; Devakul, Trithep; Watanabe, Kenji; Taniguchi, Takashi; Sondhi, S. L.; Cava, R. J.; Schoop, Leslie M.; Parameswaran, S. A.; Wu, Sanfeng

doi:10.1038/s41586-022-04514-6

Cited by 64 publications

(49 citation statements)

References 52 publications

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“…Moreover, the large number of competing exchange interaction which contribute to the fragile interlayer exchange coupling further complicates the theoretical picture. More generally, the vast majority of moire studies have so far focused on twisted hexagonal systems, though recent theoretical and experimental progress on orthorhombic materials has also been made [32].…”

Section: Discussionmentioning

confidence: 99%

Probing and controlling magnetism in 2D magnetic semiconductor CrSBr

et al. 2022

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The coupling of spin and charge in magnetic semiconductors lies at the heart of the field of spintronics and has attracted significant interest for new computing technologies. In this paper, we will review our recent progress in studying and controlling magneto-exciton coupling in the layered antiferromagnetic semiconductor CrSBr. The anisotropic Wanniertype excitons in this material serve as a sensor of the interlayer magnetic coupling. Using this exciton sensor, we found that the magnetic order is extremely tunable by the application of tensile strain, with a reversible AFM to FM transition occurring at large but experimentally feasible strains. These results establish CrSBr as an exciting platform for harnessing spin-charge-lattice coupling to the 2D limit.

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Section: Discussionmentioning

confidence: 99%

Probing and controlling magnetism in 2D magnetic semiconductor CrSBr

et al. 2022

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“…The rise of long period moiré patterns, formed by vertically stacking two atomically thin crystals with a lattice mismatch (δ) and / or relative twist angle (θ), provides an unique capability to tune the two critical energy scales (Coulomb interaction and kinetic energies) -and the electron density -over several orders of magnitude, creating a highly versatile solid-state quantum material platform [1]. The potential to engineer and probe strongly correlated states has been highlighted in several moiré material systems, including twisted bilayer graphene heterostructures near the magic angle [2][3][4] and homo- [5][6][7] or hetero- [8][9][10][11] bilayer transition metal dichalcogenide (TMD) moiré heterostructures. The physics of these systems is determined by the strong electronic interactions in the landscape defined by the underlying moiré potentials.…”

Section: Introductionmentioning

confidence: 99%

Moiré straintronics: a universal platform for reconfigurable quantum materials

Kögl¹,

Soubelet²,

Brotons-Gisbert³

et al. 2022

Preprint

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Large scale two-dimensional (2D) moiré superlattices are driving a revolution in designer quantum materials. The electronic interactions in these superlattices, strongly dependent on the periodicity and symmetry of the moiré pattern, critically determine the emergent properties and phase diagrams. To date, the relative twist angle between two layers has been the primary tuning parameter for a given choice of constituent crystals. Here, we establish strain as a powerful mechanism to insitu modify the moiré periodicity and symmetry. We develop an analytically exact mathematical description for the moiré lattice under arbitrary in-plane heterostrain acting on any bilayer structure. We demonstrate the ability to fine-tune the moiré lattice near critical points, such as the magic angle in bilayer graphene, or fully reconfigure the moiré lattice symmetry beyond that imposed by the unstrained constituent crystals. Due to this unprecedented simultaneous control over the strength of electronic interactions and lattice symmetry, 2D heterostrain provides a powerful platform to engineer, tune, and probe strongly correlated moiré materials.

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“…Given the evidence of electron correlation effects in the bulk, it is plausible that the QSH edge states may also experience strong electron-electron interactions. While unambiguous Luttinger liquid behaviour of the edge channels still need to be explored and detected, the material's propensity towards such 1D channels is hinted at in initial reports for a twisted WTe 2 bilayer geometry [68].…”

Section: Introductionmentioning

confidence: 99%

Theory of Glide Symmetry Protected Helical Edge States in WTe$_{2}$ Monolayer

Bieniek¹,

Väyrynen²,

Li³

et al. 2022

Preprint

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Helical edge states in quantum spin Hall (QSH) materials are central building blocks of topological matter design and engineering. Despite their principal topological protection against elastic backscattering, the level of operational stability depends on manifold parameters such as the band gap of the given semiconductor system in the "inverted" regime, temperature, disorder, and crystal orientation. We theoretically investigate electronic and transport properties of QSH edge states in large gap 1-T' WTe2 monolayers. We explore the impact of edge termination, disorder, temperature, and interactions on experimentally addressable edge state observables, such as local density of states and conductance. We show that conductance quantization can remain surprisingly robust even for heavily disordered samples because of an anomalously small edge state decay length and additional protection related to the large direct gap allowed by glide symmetry. From the simulation of temperature-dependent resistance, we find that moderate disorder enhances the stability of conductance by localizing bulk states. We evaluate the edge state velocity and Luttinger liquid parameter as functions of the chemical potential, finding prospects for physics beyond linear helical Luttinger liquids in samples with ultra-clean and well-defined edges.

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One-dimensional Luttinger liquids in a two-dimensional moiré lattice

Cited by 64 publications

References 52 publications

Probing and controlling magnetism in 2D magnetic semiconductor CrSBr

Probing and controlling magnetism in 2D magnetic semiconductor CrSBr

Moiré straintronics: a universal platform for reconfigurable quantum materials

Theory of Glide Symmetry Protected Helical Edge States in WTe$_{2}$ Monolayer

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