Quantum Transport in Topological Semimetals under Magnetic Fields

Abstract

Topological semimetals are three-dimensional topological states of matter, in which the conduction and valence bands touch at a finite number of points, i.e., the Weyl nodes. Topological semimetals host paired monopoles and antimonopoles of Berry curvature at the Weyl nodes and topologically protected Fermi arcs at certain surfaces. We review our recent works on quantum transport in topological semimetals, according to the strength of the magnetic field. At weak magnetic fields, there are competitions between the positive magnetoresistivity induced by the weak anti-localization effect and negative magnetoresistivity related to the nontrivial Berry curvature. We propose a fitting formula for the magnetoconductivity of the weak anti-localization. We expect that the weak localization may by induced by inter- alley effects and interaction effect, and occur in double-Weyl semimetals. For the negative magnetoresistance induced by the nontrivial Berry curvature in topological semimetals, we show the dependence of the negative magnetoresistance on the carrier density. At strong magnetic fields, specifically, in the quantum limit, the magnetoconduction depends on the type and range of the scattering potential of disorder. The high-field positive magnetoconductivity may not be a compelling signature of the chiral anomaly. For long-range Gaussian scattering potential and half filling, the magnetoconductivity can be linear in the quantum limit. A minimal conductivity is found at the Weyl nodes although the density of states vanishes there.

arXiv commentInvited review, to appear in the special issue "Recent Progress on Weyl Semimetals" of Frontiers of Physics

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• Negative Magnetoresistance without Chiral Anomaly in Topological Insulators
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• Anomalous spin Nernst effect in Weyl semimetals
• Weak antilocalization and localization in Eu${}_2$Ir${}_2$O${}_7$ (111) thin films by reactive solid phase epitaxy
• Encyclopedia of emergent particles in three-dimensional crystals
• Electronic scattering, focusing, and resonance by a spherical barrier in Weyl semimetals
• Weyl systems: anomalous transport normally explained
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• Topological Anderson insulator phases in one dimensional quasi-periodic mechanical SSH chains
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• Non-Abelian Charge Transport in Three-Flavor Gauge Semimetal Model with Braiding Majoranas
• Influence of anisotropy, tilt and pairing of Weyl nodes: The Weyl semimetals TaAs, TaP, NbAs and NbP
• The orbital-driven topological phase transition and planar Hall responses in ternary tellurides Weyl semi-metals
• Breakdown of chiral anomaly and emergent phases in Weyl semimetals under orbital magnetic fields
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