2016/07/31 by Xiao Xiao, K. T. Law, P. A. Lee · 27 citations
Materials Science · Physics and Astronomy · #2D Materials and Applications #Band gap #Charge (physics) #Colossal magnetoresistance #Condensed matter physics #Graphene research and applications #Landau quantization #Magnetic field #Magnetoresistance #Physics #Quantum mechanics #Semimetal #Sigma #Topological Materials and Phenomena #Weyl semimetal #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.96.165101
published in Physical review. B./Physical review. B 96(16) (American Physical Society) · The accepted version. Extending the previous version by including the discussions of self-consistent Born approximation
openalex publication_date 2017/10/02 · arxiv created 2017/10/06 · arxiv updated 2017/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 \ensuremathσxx, 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, \ensuremathσxx exhibits B^\ensuremath-5/3 behavior, causing the magnetoresistance \ensuremathρxx 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.