Nonlinear anomalous Hall effects probe topological phase-transitions in twisted double bilayer graphene

Abstract

Nonlinear anomalous Hall effect is the Berry curvature dipole induced second-order Hall voltage or temperature difference in response to a longitudinal electric field or temperature gradient. These are the prominent Hall responses in time reversal symmetric systems. Here, we investigate the family of second-order nonlinear anomalous Hall effects, the electrical, thermoelectric and thermal nonlinear Hall effects in the moiré system of twisted double bilayer graphene. We demonstrate that the nonlinear anomalous Hall signals can be used to probe the topological phase-transitions in moiré systems, induced by a perpendicular electric field. Specifically, we show that the whole family of nonlinear anomalous Hall responses undergo a sign reversal across a topological phase-transition.

12 pages, 6 figures, Comments are welcome

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Cited by in corpus (8)

• Quantum Kinetic Theory of Nonlinear Optical Currents: Finite Fermi surface and Fermi sea contributions
• Quantum kinetic theory of nonlinear thermal current
• Tunable interband and intraband plasmons in twisted double bilayer graphene
• Extrinsic and Intrinsic Nonlinear Hall Effects across Berry-Dipole Transitions
• Observation of time-reversal symmetric Hall effect in graphene-WSe2 heterostructures at room temperature
• Intrinsic nonreciprocal bulk plasmons in noncentrosymmetric magnetic systems
• Quantum Geometric Oscillations in Two-Dimensional Flat-Band Solids
• Berry curvature, spin Hall effect and nonlinear optical response in moiré transition metal dichalcogenide heterobilayers