Quantum nonlinear planar Hall effect in bilayer graphene: an orbital effect of a steady in-plane magnetic field

TL;DR

This paper investigates the quantum nonlinear planar Hall effect in bilayer graphene induced by an in-plane magnetic field, highlighting an orbital mechanism that does not require spin-orbit coupling and can be controlled via external parameters.

Contribution

It demonstrates a novel orbital-origin nonlinear Hall effect in bilayer graphene driven by an in-plane magnetic field, without relying on spin-orbit interactions.

Findings

Berry curvature dipole depends on magnetic field components

Nonlinear Hall effect can be modulated by gate voltage and Fermi energy

Orbital effects induce Hall response without spin-orbit coupling

Abstract

We study the quantum nonlinear planar Hall effect in bilayer graphene under a steady in-plane magnetic field. When time-reversal symmetry is broken by the magnetic field, a charge current occurs in the second-order response to an external electric field, as a result of the Berry curvature dipole in momentum space. We have shown that a nonlinear planar Hall effect originating from the anomalous velocity is deduced by an orbital effect of an in-plane magnetic field on electrons in bilayer graphene in the complete absence of spin-orbit coupling. Taking into account the symmetry analysis, we derived the dominant dependence of Berry curvature dipole moment on the magnetic field components. Moreover, we illustrate how to control and modulate the Berry curvature dipole with an external planar magnetic field, gate voltage, and Fermi energy.