Magnetic oscillations of the anomalous Hall conductivity

Abstract

It is known that the Shubnikov--de Haas oscillations can be observed in the Hall resistivity, although their amplitude is much weaker than the amplitude of the diagonal resistivity oscillations. Employing a model of two-dimensional massive Dirac fermions that exhibits anomalous Hall effect, we demonstrate that the amplitude of the Shubnikov--de Haas oscillations of the anomalous Hall conductivity is the same as that of the diagonal conductivity. We argue that the oscillations of the anomalous Hall conductivity can be observed by studying the valley Hall effect in graphene superlattices and the spin Hall effect in the low-buckled Dirac materials.

9 pages, 2 figures; final version published in PRB

References in corpus (12)

• Room-Temperature Quantum Hall Effect in Graphene
• The Valley Hall Effect in MoS2 Transistors
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• Charge and spin Hall conductivity in metallic graphene
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• Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field

Cited by in corpus (4)

• Observation of the quantum valley Hall state in ballistic graphene superlattices
• Theory of anomalous Hall effect in transition-metal pentatelluride ${\mathrm{ZrTe}}_5$ and ${\mathrm{HfTe}}_5$
• Shubnikov-de Haas oscillations in the anomalous Hall conductivity of Chern insulators
• Comparative study of magnetic quantum oscillations in Hall and transverse magnetoresistance