Nonlinear Hall Effects in Strained Twisted Bilayer WSe${}_2$

Abstract

Recently, it has been pointed out that the twisting of bilayer WSe${}_2$ would generate topologically non-trivial flat bands near the Fermi energy. In this work, we show that twisted bilayer WSe${}_2$ (tWSe${}_2$) with uniaxial strain exhibits a large nonlinear Hall (NLH) response due to the non-trivial Berry curvatures of the flat bands. Moreover, the NLH effect is greatly enhanced near the topological phase transition point which can be tuned by a vertical displacement field. Importantly, the nonlinear Hall signal changes sign across the topological phase transition point and provides a way to identify the topological phase transition and probe the topological properties of the flat bands. The strong enhancement and high tunability of the NLH effect near the topological phase transition point renders tWSe${}_2$ and related moire materials new platforms for rectification and second harmonic generations.

arXiv comment6 pages, 3 figures, plus supplementary. Comments are welcome

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Cited by in corpus (20)

• Nonlinear Hall Effects
• Giant nonlinear Hall effect in twisted WSe${}_2$
• Higher-Order Nonlinear Anomalous Hall Effects Induced by Berry Curvature Multipoles
• Tunable large Berry dipole in strained twisted bilayer graphene
• Tunable moiré materials for probing Berry physics and topology
• Twisted photovoltaics at terahertz frequencies from momentum shift current
• Non-linear Hall Effects: Mechanisms and Materials
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• Disorder in the non-linear anomalous Hall effect of $\mathcal{P}\mathcal{T}$-symmetric Dirac fermions
• Light-enhanced nonlinear Hall effect
• Signatures of hidden octupolar order from nonlinear Hall effects
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• Berry curvature, spin Hall effect and nonlinear optical response in moiré transition metal dichalcogenide heterobilayers
• Polarization and third-order Hall effect in III-V semiconductor heterojunctions
• Nonlinear Hall effects with an exceptional ring
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• Colossal Layer Nernst Effect in Twisted Moiré Layers
• Orbital anomalous Hall effect in the few-layer Weyl semimetal TaIrTe4
• The "Sign problem" of the 3rd order anomalous Hall effect in topological magnetic materials