Intrinsic Magnetoresistance in Three-Dimensional Dirac Materials

Abstract

Recently, negative longitudinal and positive in-plane transverse magnetoresistance have been observed in most topological Dirac/Weyl semimetals, and some other topological materials. Here we present a quantum theory of intrinsic magnetoresistance for three-dimensional Dirac fermions at a finite and uniform magnetic field B. In a semiclassical regime, it is shown that the longitudinal magnetoresistance is negative and quadratic of a weak field B while the in-plane transverse magnetoresistance is positive and quadratic of B. The relative magnetoresistance is inversely quartic of the Fermi wave vector and only determined by the density of charge carriers, irrelevant to the external scatterings in the weak scattering limit. This intrinsic anisotropic magnetoresistance is measurable in systems with lower carrier density and high mobility. In the quantum oscillation regime a formula for the phase shift in Shubnikov-de Hass oscillation is present as a function of the mobility and the magnetic field, which is useful for experimental data analysis.

arXiv comment5 pages, 4 figures

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Cited by in corpus (18)

• Quantum Transport in Topological Semimetals under Magnetic Fields
• Dirac Polarons and Resistivity Anomaly in ZrTe5 and HfTe5
• Quantum Transport in Topological Semimetals under Magnetic Fields (II)
• Quantum Interference Theory of Magnetoresistance in Dirac Materials
• Magnetoresistance of a three-dimensional Dirac gas
• Disorder and magnetic transport in tilted Weyl semimetals
• Disorder and magnetoconductivity in tilted Weyl semimetals
• Quantum oscillations and three-dimensional quantum Hall effect in ZrTe${}_5$
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• Quantum theory of the magnetochiral anisotropy coefficient in ZrTe${}_5$
• Unidirectional magneto-transport of linearly dispersing topological edge states
• Linear magnetoresistance of two-dimensional massless Dirac fermions in the quantum limit