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Title: Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature

Abstract

This work presents 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. In contrast, 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 discovered two important features of the self-energy approximation: (i) A dramatic jump of σ 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 xx exhibits B -5/3 behavior, causing the magnetoresistance ρ xx to exhibit B 1/3 behavior. A detailed and careful numerical calculation indicates that the self-energy approximation (including both the Born andmore » the self-consistent Born approximations) does not explain the recent experimental observation of linear magnetoresistance in Weyl semimetals.« less

Authors:
 [1];  [1];  [2]
  1. Hong Kong Univ. of Science and Technology, Hong Kong (China)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1511839
Alternate Identifier(s):
OSTI ID: 1395920
Grant/Contract Number:  
FG02-03ER46076; FG01-03-ER46076
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 16; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Xiao, Xiao, Law, K. T., and Lee, P. A. Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature. United States: N. p., 2017. Web. doi:10.1103/physrevb.96.165101.
Xiao, Xiao, Law, K. T., & Lee, P. A. Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature. United States. doi:10.1103/physrevb.96.165101.
Xiao, Xiao, Law, K. T., and Lee, P. A. Mon . "Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature". United States. doi:10.1103/physrevb.96.165101. https://www.osti.gov/servlets/purl/1511839.
@article{osti_1511839,
title = {Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature},
author = {Xiao, Xiao and Law, K. T. and Lee, P. A.},
abstractNote = {This work presents 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. In contrast, 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 discovered two important features of the self-energy approximation: (i) A dramatic jump of σxx , 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, σxx exhibits B -5/3 behavior, causing the magnetoresistance ρxx to exhibit B1/3 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.},
doi = {10.1103/physrevb.96.165101},
journal = {Physical Review B},
number = 16,
volume = 96,
place = {United States},
year = {2017},
month = {10}
}

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Cited by: 7 works
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