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Strongly angle-dependent magnetoresistance in Weyl semimetals with long-range disorder

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Behrends,  Jan
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Bardarson,  Jens H.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Behrends, J., & Bardarson, J. H. (2017). Strongly angle-dependent magnetoresistance in Weyl semimetals with long-range disorder. Physical Review B, 96(6): 060201. doi:10.1103/PhysRevB.96.060201.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002E-0FC7-B
Abstract
The chiral anomaly in Weyl semimetals states that the left- and right-handed Weyl fermions, constituting the low energy description, are not individually conserved, resulting, for example, in a negative magnetoresistance in such materials. Recent experiments see strong indications of such an anomalous resistance response; however, with a response that at strong fields is more sharply peaked for parallel magnetic and electric fields than expected from simple theoretical considerations. Here, we uncover a mechanism, arising from the interplay between the angle-dependent Landau-level structure and long-range scalar disorder, that has the same phenomenology. In particular, we analytically show, and numerically confirm, that the internode scattering time decreases exponentially with the angle between the magnetic field and the Weyl node separation in the large field limit, while it is insensitive to this angle at weak magnetic fields. Since, in the simplest approximation, the internode scattering time is proportional to the anomaly-related conductivity, this feature may be related to the experimental observations of a sharply peaked magnetoresistance.