Disorder and magnetic transport in tilted Weyl semimetals

Abstract

We investigate the effect of disorder on the Landau levels (LLs) in tilted three dimensional Weyl semimetals (WSMs) when a magnetic field is present. Based on the minimum lattice model and by using the exact diagonalization and Kubo's formula, we numerically calculate the Hall conductivity and the density of states (DOS), from which several striking signatures are found to distinguish type-I WSMs from type-II WSMs: the first is the response of the Hall conductivity to the Fermi energy around the band center in clean limit, the second is the performance of the Hall conductivity to disorder, where in type-I WSMs, the robustness of the low-energy LLs is broken successively from the higher LLs to the lower ones and can be understood with the sink down picture, and the third is the behavior of the DOS at zero energy to disorder. The implications of our results are discussed.

7 pages, 6 figures

References in corpus (8)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Chiral anomaly and transport in Weyl metals
• Discovery of a new type of topological Weyl fermion semimetal state in Mo${}_x$W${}_{1-x}$Te${}_2$
• Quantum Transport in Topological Semimetals under Magnetic Fields
• Disorder Induced Phase Transitions of Type-II Weyl Semimetal
• Transversal magnetoresistance and Shubnikov-de Haas oscillations in Weyl semimetals
• Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field
• Interaction-induced phase transitions of type-II Weyl semimetals

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• Magneto-optic signatures in the gapped Dirac semimetal with mixed linear and parabolic dispersions of ZrTe5
• Quantum theory of the magnetochiral anisotropy coefficient in ZrTe${}_5$