In-plane Hall effect in two-dimensional helical electron systems

Abstract

We study Berry curvature driven and Zeeman magnetic field dependent electric current responses of two-dimensional electron system with spin-orbit coupling. New non-dissipative component of the electric current occurring in the applied in-plane magnetic field is described. This component is transverse to the electric field, odd in the magnetic field, and depends only on one particular direction of the magnetic field defined by the spin-orbit coupling. We show that the effect can be observed in a number of systems with $C_{3v}$ symmetry.

updated version, 5 pages, 3 figures

References in corpus (6)

• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Anomalous Hall effect in a two-dimensional electron gas
• Suppression of the D'yakonov-Perel' spin relaxation mechanism for all spin components in [111] zincblende quantum wells
• Exfoliation of single layer BiTeI flakes
• In-Plane Magnetic-Field-Induced Quantum Anomalous Hall Plateau Transition
• Uniaxial stress controlled anisotropic Rashba effects and carriers-based currents in BiTeI monolayer semiconductor

Cited by in corpus (15)

• Orbital Origin of Intrinsic Planar Hall Effect
• Planar Hall effect in topological Weyl and nodal line semimetals
• Symmetry-based requirement for the measurement of electrical and thermal Hall conductivity under an in-plane magnetic field
• Linear magnetoconductivity in magnetic metals
• Planar Hall Effect in Quasi-Two-Dimensional Materials
• Planar Hall Plateau in Magnetic Weyl Semimetals
• Stark difference in the in-plane anomalous Hall response in Zintl compounds EuA2Sb2 (A = Zn, Cd) thin films
• Layer Coherence Origin of Planar Hall Effect: from Charge to Multipole and Valley
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• The Anomalous Hall Effect
• Asymmetric Fraunhofer pattern in Josephson junctions from heterodimensional superlattice V${}_5$S${}_8$
• Universal classes of disorder scatterings in in-plane anomalous Hall effect
• Quantum geometric map of magnetotransport
• Classical transport theory for the planar Hall effect with threefold symmetry
• Intrinsic nonlinear valley Nernst effect in the strained bilayer graphene