Extended Kohler's Rule of Magnetoresistance

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

Research output: Contribution to journalArticlepeer-review


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(As1-xPx)2 to settle a long-standing debate on the scaling behavior of the normal-state magnetoresistance of a superconductor, namely, MR∼tan2θH, 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.

Original languageEnglish (US)
Article number041029
JournalPhysical Review X
Issue number4
StatePublished - Dec 2021

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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