Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature

We present detailed analyses of magnetoconductivities in a Weyl semimetal within the Born and self-consistent Born approximations. In the presence of charged impurities, linear magnetoresistance can occur when the charge carriers are mainly from the zeroth (n=0) Landau level. Interestingly, the line...

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Main Authors: Xiao, Xiao, Law, K. T., Lee, Patrick A
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society 2018
Online Access:http://hdl.handle.net/1721.1/114483
https://orcid.org/0000-0001-7809-8157
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author Xiao, Xiao
Law, K. T.
Lee, Patrick A
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Xiao, Xiao
Law, K. T.
Lee, Patrick A
author_sort Xiao, Xiao
collection MIT
description We present detailed analyses of magnetoconductivities in a Weyl semimetal within the Born and self-consistent Born approximations. In the presence of charged impurities, linear magnetoresistance can occur when the charge carriers are mainly from the zeroth (n=0) Landau level. Interestingly, the linear magnetoresistance is very robust against changes of temperature as long as the charge carriers come mainly from the zeroth Landau level. We denote this parameter regime as the high-field regime. On the other hand, the linear magnetoresistance disappears once the charge carriers from the higher Landau levels can provide notable contributions. Our analysis indicates that the deviation from linear magnetoresistance is mainly due to the deviation of the longitudinal conductivity from 1/B behavior. We found two important features of the self-energy approximation: (i) A dramatic jump of σ[subscript xx], when the n=1 Landau level begins to contribute charge carriers, which is the beginning point of the middle-field regime, when decreasing the external magnetic field from high field; (ii) in the low-field regime, σ[subscript xx] exhibits B[superscript −5/3] behavior, causing the magnetoresistance ρ_{xx} to exhibit B[superscript 1/3] behavior. A detailed and careful numerical calculation indicates that the self-energy approximation (including both the Born and the self-consistent Born approximations) does not explain the recent experimental observation of linear magnetoresistance in Weyl semimetals.
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spelling mit-1721.1/1144832022-09-30T21:11:05Z Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature Xiao, Xiao Law, K. T. Lee, Patrick A Massachusetts Institute of Technology. Department of Physics Lee, Patrick A We present detailed analyses of magnetoconductivities in a Weyl semimetal within the Born and self-consistent Born approximations. In the presence of charged impurities, linear magnetoresistance can occur when the charge carriers are mainly from the zeroth (n=0) Landau level. Interestingly, the linear magnetoresistance is very robust against changes of temperature as long as the charge carriers come mainly from the zeroth Landau level. We denote this parameter regime as the high-field regime. On the other hand, the linear magnetoresistance disappears once the charge carriers from the higher Landau levels can provide notable contributions. Our analysis indicates that the deviation from linear magnetoresistance is mainly due to the deviation of the longitudinal conductivity from 1/B behavior. We found two important features of the self-energy approximation: (i) A dramatic jump of σ[subscript xx], when the n=1 Landau level begins to contribute charge carriers, which is the beginning point of the middle-field regime, when decreasing the external magnetic field from high field; (ii) in the low-field regime, σ[subscript xx] exhibits B[superscript −5/3] behavior, causing the magnetoresistance ρ_{xx} to exhibit B[superscript 1/3] behavior. A detailed and careful numerical calculation indicates that the self-energy approximation (including both the Born and the self-consistent Born approximations) does not explain the recent experimental observation of linear magnetoresistance in Weyl semimetals. United States. Department of Energy (Grant DE-FG01-03-ER46076) 2018-03-30T17:57:53Z 2018-03-30T17:57:53Z 2017-10 2017-08 2017-11-14T22:45:20Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/114483 Xiao, Xiao et al. "Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature." Physical Review B 96, 16 (October 2017): 165101 © 2017 American Physical Society https://orcid.org/0000-0001-7809-8157 en http://dx.doi.org/10.1103/PhysRevB.96.165101 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Xiao, Xiao
Law, K. T.
Lee, Patrick A
Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature
title Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature
title_full Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature
title_fullStr Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature
title_full_unstemmed Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature
title_short Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature
title_sort magnetoconductivity in weyl semimetals effect of chemical potential and temperature
url http://hdl.handle.net/1721.1/114483
https://orcid.org/0000-0001-7809-8157
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AT lawkt magnetoconductivityinweylsemimetalseffectofchemicalpotentialandtemperature
AT leepatricka magnetoconductivityinweylsemimetalseffectofchemicalpotentialandtemperature