The sign of longitudinal magnetoconductivity and the planar Hall effect in Weyl semimetals

Fuente: arXiv
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Autores principales: Sharma, Gargee, Nandy, S., Tewari, Sumanta
Formato: Preprint
Publicado: 2020
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author Sharma, Gargee
Nandy, S.
Tewari, Sumanta
author_facet Sharma, Gargee
Nandy, S.
Tewari, Sumanta
contents The manifestation of chiral anomaly in Weyl semimetals typically relies on the observation of longitudinal magnetoconductance (LMC) along with the planar Hall effect, with a specific magnetic field and angle dependence. Here we solve the Boltzmann equation in the semiclassical regime for a prototype of a Weyl semimetal, allowing for both intravalley and intervalley scattering, along with including effects from the orbital magnetic moment (OMM), in a geometry where the electric and magnetic fields are not necessarily parallel to each other. We construct the phase diagram in the relevant parameter space that describes the shift from positive to negative LMC in the presence of OMM and sufficiently strong intervalley scattering, as has been recently pointed out for only parallel electric and magnetic fields. On the other hand, we find that the chiral anomaly contribution to the planar Hall effect always remains positive (unlike the LMC) irrespective of the inclusion or exclusion of OMM, or the strength of the intervalley scattering. Our predictions can be directly tested in experiments, and may be employed as new diagnostic procedures to verify chiral anomaly in Weyl systems.
format Preprint
id arxiv_https___arxiv_org_abs_2006_03049
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle The sign of longitudinal magnetoconductivity and the planar Hall effect in Weyl semimetals
Sharma, Gargee
Nandy, S.
Tewari, Sumanta
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
High Energy Physics - Theory
The manifestation of chiral anomaly in Weyl semimetals typically relies on the observation of longitudinal magnetoconductance (LMC) along with the planar Hall effect, with a specific magnetic field and angle dependence. Here we solve the Boltzmann equation in the semiclassical regime for a prototype of a Weyl semimetal, allowing for both intravalley and intervalley scattering, along with including effects from the orbital magnetic moment (OMM), in a geometry where the electric and magnetic fields are not necessarily parallel to each other. We construct the phase diagram in the relevant parameter space that describes the shift from positive to negative LMC in the presence of OMM and sufficiently strong intervalley scattering, as has been recently pointed out for only parallel electric and magnetic fields. On the other hand, we find that the chiral anomaly contribution to the planar Hall effect always remains positive (unlike the LMC) irrespective of the inclusion or exclusion of OMM, or the strength of the intervalley scattering. Our predictions can be directly tested in experiments, and may be employed as new diagnostic procedures to verify chiral anomaly in Weyl systems.
title The sign of longitudinal magnetoconductivity and the planar Hall effect in Weyl semimetals
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
High Energy Physics - Theory
url https://arxiv.org/abs/2006.03049