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

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.

References in corpus (31)

• Berry Phase Effects on Electronic Properties
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• The electronic properties of bilayer graphene
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Giant Planar Hall Effect in Epitaxial (Ga,Mn)As Devices
• Electrically switchable Berry curvature dipole in the monolayer topological insulator WTe2
• Determination of the gate-tunable bandgap and tight-binding parameters in bilayer graphene using infrared spectroscopy
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Confinement-induced Berry phase and helicity-dependent photocurrents
• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• Berry curvature dipole current in transition metal dichalcogenides family
• Electrically tuneable nonlinear anomalous Hall effect in two-dimensional transition-metal dichalcogenides WTe2 and MoTe2
• Symmetry and Quantum Kinetics of the Non-linear Hall Effect
• Zero-magnetic-field Hall effects in artificially corrugated bilayer graphene
• A Gate-tunable Polarized Phase of Two-Dimensional Electrons at the LaAlO3/SrTiO3 Interface
• Planar Hall Effect and Anisotropic Magnetoresistance in a polar-polar interface of LaVO${}_3$-KTaO${}_3$ with strong spin-orbit coupling
• Theory of nonlinear Hall effects: renewed semiclassics from quantum kinetics
• Berry Curvature Dipole in Strained Graphene: a Fermi Surface Warping Effect
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Symmetry, spin-texture, and tunable quantum geometry in a WTe${}_2$ monolayer
• Anomalous Planar Hall Effect in Two-Dimensional Trigonal Crystals
• Planar Hall effect in antiferromagnetic MnTe thin films
• Engineering of the topological magnetic moment of electrons in bilayer graphene using strain and electrical bias
• Magnetic ratchet effect in bilayer graphene
• Spin-orbit torques from topological insulator surface states: Effect of extrinsic spin-orbit scattering on an out-of-plane magnetization
• Current induced by a tilted magnetic field in phosphorene under terahertz laser radiation

Cited by in corpus (8)

• Non-linear Hall Effects: Mechanisms and Materials
• Disorder in the non-linear anomalous Hall effect of $\mathcal{P}\mathcal{T}$-symmetric Dirac fermions
• Strongly interacting matter in extreme magnetic fields
• Microscopic Green's function approach for generalized Dirac Hamiltonians
• Engineering of Chern number of topological bands in bilayer graphene by in-plane magnetic field and electrical bias
• Magic-angle twisted bilayer graphene under orthogonal and in-plane magnetic fields
• Insulator-Metal Transition and Magnetic Crossover in Bilayer Graphene
• General solution for the response of materials under radiation and tilted magnetic field: semi-classical regime