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- Publisher
- IOP Publishing
- Copyright
- © 2022 IOP Publishing Ltd
- eISSN
- 2053-1583
- DOI
- 10.1088/2053-1583/ac8b93
- Publisher site
- See Article on Publisher Site
Abstract
Nonlinear anomalous (NLA) Hall effect is the Berry curvature dipole induced second-order Hall voltage or temperature difference induced by a longitudinal electric field or temperature gradient. These are the prominent Hall responses in time-reversal symmetric systems. These band-geometry induced responses in recently realized twistronic platforms can probe their novel electronic band structure and topology. Here, we investigate the family (electrical, thermoelectric, and thermal) of second-order NLA Hall effects in the moiré system of twisted double bilayer graphene (TDBG). We combine the semiclassical transport framework with the continuum model of TDBG to demonstrate that the NLA Hall signals can probe topological phase transitions in moiré systems. We show that the whole family of NLA Hall responses undergo a sign reversal across a topological phase transition. Our study establishes a deeper connection between valley topology and nonlinear Hall effects in time-reversal symmetric systems.
Journal
2D Materials – IOP Publishing
Published: Oct 1, 2022
Keywords: nonlinear anomalous Hall effect; moiré superlattice; twisted double bilayer graphene; topological phase transition