| Title: |
Extended Kohler$^,$s Rule of Magnetoresistance |
| Authors: |
Xu, Jing; Han, Fei; Wang, Ting-Ting; Thoutam, Laxman R.; Pate, Samuel E.; Li, Mingda; Zhang, Xufeng; Wang, Yong-Lei; Fotovat, Roxanna; Welp, Ulrich; Zhou, Xiuquan; Kwok, Wai-Kwong; Chung, Duck Young; Kanatzidis, Mercouri G.; Xiao, Zhi-Li |
| Source: |
Phys. Rev. X 11, 041029 (2021) |
| Publication Year: |
2021 |
| Collection: |
Condensed Matter |
| Subject Terms: |
Condensed Matter - Materials Science; Condensed Matter - Strongly Correlated Electrons |
| Description: |
A notable phenomenon in topological semimetals is the violation of Kohler$^,$s rule, which dictates that the magnetoresistance $MR$ obeys a scaling behavior of $MR = f(H/\rho_0$), where $MR = [\rho_H-\rho_0]/\rho_0$ and $H$ is the magnetic field, with $\rho_H$ and $\rho_0$ being the resistivity at $H$ and zero field, respectively. Here we report a violation originating from thermally-induced change in the carrier density. We find that the magnetoresistance of the Weyl semimetal, TaP, follows an extended Kohler$^,$s rule $MR = f[H/(n_T\rho_0)]$, with $n_T$ describing the temperature dependence of the carrier density. We show that $n_T$ is associated with the Fermi level and the dispersion relation of the semimetal, providing a new way to reveal information on the electronic bandstructure. We offer a fundamental understanding of the violation and validity of Kohler$^,$s rule in terms of different temperature-responses of $n_T$. We apply our extended Kohler$^,$s rule to BaFe$_2$(As$_{1-x}$P$_x$)$_2$ to settle a long-standing debate on the scaling behavior of the normal-state magnetoresistance of a superconductor, namely, $MR$ ~ $tan^2\theta_H$, where $\theta_H$ is the Hall angle. We further validate the extended Kohler$^,$s rule and demonstrate its generality in a semiconductor, InSb, where the temperature-dependent carrier density can be reliably determined both theoretically and experimentally. |
| Document Type: |
Working Paper |
| DOI: |
10.1103/PhysRevX.11.041029 |
| Access URL: |
http://arxiv.org/abs/2109.08089 |
| Accession Number: |
edsarx.2109.08089 |
| Database: |
arXiv |