Extended Kohler’s Rule of Magnetoresistance

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/ρ_{0}), where MR=[ρ(H)−ρ_{0}]/ρ_{0} and H is the magnetic field, with ρ(H) and ρ_{0} being the resistivity at H and zero field, respective...

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Autores principales:	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
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/85ef1221f5ca49419d88fde4e9fb313e
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spelling	oai:doaj.org-article:85ef1221f5ca49419d88fde4e9fb313e2021-11-10T15:32:36ZExtended Kohler’s Rule of Magnetoresistance10.1103/PhysRevX.11.0410292160-3308https://doaj.org/article/85ef1221f5ca49419d88fde4e9fb313e2021-11-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.041029http://doi.org/10.1103/PhysRevX.11.041029https://doaj.org/toc/2160-3308A 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/ρ_{0}), where MR=[ρ(H)−ρ_{0}]/ρ_{0} and H is the magnetic field, with ρ(H) and ρ_{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}ρ_{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 band structure. 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}θ_{H}, where θ_{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.Jing XuFei HanTing-Ting WangLaxman R. ThoutamSamuel E. PateMingda LiXufeng ZhangYong-Lei WangRoxanna FotovatUlrich WelpXiuquan ZhouWai-Kwong KwokDuck Young ChungMercouri G. KanatzidisZhi-Li XiaoAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 4, p 041029 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 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 Extended Kohler’s Rule of Magnetoresistance
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/ρ_{0}), where MR=[ρ(H)−ρ_{0}]/ρ_{0} and H is the magnetic field, with ρ(H) and ρ_{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}ρ_{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 band structure. 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}θ_{H}, where θ_{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.
format	article
author	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
author_facet	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
author_sort	Jing Xu
title	Extended Kohler’s Rule of Magnetoresistance
title_short	Extended Kohler’s Rule of Magnetoresistance
title_full	Extended Kohler’s Rule of Magnetoresistance
title_fullStr	Extended Kohler’s Rule of Magnetoresistance
title_full_unstemmed	Extended Kohler’s Rule of Magnetoresistance
title_sort	extended kohler’s rule of magnetoresistance
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/85ef1221f5ca49419d88fde4e9fb313e
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_version_	1718439883937153024

Extended Kohler’s Rule of Magnetoresistance

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