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Extended Kohler’s Rule of Magnetoresistance
Physical Review X  (IF15.762),  Pub Date : 2021-11-10, DOI: 10.1103/physrevx.11.041029
Jing Xu, Fei Han, Ting-Ting Wang, Laxman R. Thoutam, Samuel E. Pate, Mingda Li, Xufeng Zhang, Yong-Lei Wang, Roxanna Fotovat, Ulrich Welp, Xiuquan Zhou, Wai-Kwong Kwok, Duck Young Chung, Mercouri G. Kanatzidis, Zhi-Li Xiao

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/ρ0), where MR=[ρ(H)ρ0]/ρ0 and H is the magnetic field, with ρ(H) and ρ0 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/(nTρ0)], with nT describing the temperature dependence of the carrier density. We show that nT is associated with the Fermi level and the dispersion relation of the semimetal, providing a new way to reveal information on the electronic band structure. We offer a fundamental understanding of the violation and validity of Kohler’s rule in terms of different temperature responses of nT. We apply our extended Kohler’s rule to BaFe2(As1xPx)2 to settle a long-standing debate on the scaling behavior of the normal-state magnetoresistance of a superconductor, namely, MRtan2θH, where θH 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.