Crossed Nonlinear Dynamical Hall Effect in Twisted Bilayers

Abstract

We propose a novel nonlinear dynamical Hall effect characteristic of layered materials with chiral symmetry, which is driven by the joint action of in-plane and time variation of out-of-plane ac fields ${\mathbf{j}}_{\text{H}}\sim {\dot{\mathbf{E}}}_{\perp }\times {\mathbf{E}}_{\parallel }$. A new band geometric quantity -- interlayer Berry connection polarizability, which probes a mixed quantum metric characteristic of layer hybridized electrons by twisted interlayer coupling, underlies this effect. When the two orthogonal fields have common frequency, their phase difference controls the on/off, direction and magnitude of the rectified Hall current. We show sizable effects in twisted homobilayer transition metal dichalcogenides and twisted bilayer graphene over broad range of twist angles. Our work opens the door to discovering mixed quantum metric responses unique to van der Waals stacking and concomitant applications under the nonlinear spotlight.

Add discussions of quantum metric contribution to the effect. To appear in Phys. Rev. Res

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• Intrinsic and extrinsic photogalvanic effects in twisted bilayer graphene
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Layer Coherence Origin of Planar Hall Effect: from Charge to Multipole and Valley
• Chiral excitonic systems in twisted bilayers from Förster coupling and unconventional excitonic Hall effects
• Local phase-space Berry curvature and Hall transport in textured twisted bilayer graphene
• Modulation of quantum geometry and its coupling to pseudo-electric field by dynamic strain
• Identifying geometric third-order nonlinear transport in disordered materials
• Interlayer electric multipole Hall effect in twisted multilayers