Longitudinal magnetoconductance and the planar Hall conductance in inhomogeneous Weyl semimetals

Abstract

Elastic deformations (strain) couple to the electronic degrees of freedom in Weyl semimetals as an axial magnetic field (chiral gauge field), which in turn affects their impurity dominated diffusive transport. Here we study the longitudinal magnetoconductance (LMC) in the presence of strain, Weyl cone tilt, and finite intervalley scattering, taking into account the momentum dependence of the scattering processes (both internode and intranode), as well as charge conservation. We show that strain induced chiral gauge field results in `strong sign-reversal' of the LMC, which is characterized by the reversal of orientation of the magnetoconductance parabola with respect to the magnetic field. On the other hand, external magnetic field results in `strong sign-reversal', only for sufficiently strong intervalley scattering. When both external and chiral gauge fields are present, we observe both strong and weak sign-reversal, where in the case of weak sign-reversal, the rise and fall of magnetoconductivity depends on the direction of the magnetic field and/or the chiral gauge field, and is not correlated with the orientation of the LMC parabola. The combination of the two fields is shown to generate striking features in the LMC phase diagram as a function of various parameters such as tilt, strain, and intervalley scattering. We also study the effect of strain induced chiral gauge field on the planar Hall conductance and highlight its distinct features that can be probed experimentally.

13 pages, 17 figures

References in corpus (12)

• The Chiral Magnetic Effect
• Topological response in Weyl semimetals and the chiral anomaly
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Anomalous Hall Effect in Weyl Metals
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Chiral Gauge Theory for Graphene
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• Linear magnetochiral effect in Weyl semimetals
• Longitudinal magnetoconductance and the planar Hall effect in a lattice model of tilted Weyl fermions
• Revisiting magnetotransport in Weyl semimetals

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• Chiral anomaly and positive longitudinal magnetoresistance in the type-II Dirac semimetals $A_x$PdTe${}_2$ (\textit{A} = Cu, Ag)
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• Chiral Anomaly Induced Transverse Planar Transport Phenomena in Three Dimensional Spin-Orbit Coupled Metals