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Title: Extended Kohler’s Rule of Magnetoresistance

Abstract

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 andmore » experimentally.« less

Authors:
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Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
OSTI Identifier:
1829772
Alternate Identifier(s):
OSTI ID: 1840604
Grant/Contract Number:  
SC0020148; AC02-06CH11357
Resource Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
Journal Name: Physical Review. X Journal Volume: 11 Journal Issue: 4; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Magnetotransport; Topological phases of matter; Iron-based superconductors; Narrow band gap systems; Single crystal materials; Weyl semimetal; Crystal growth; Resistivity measurements

Citation Formats

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., and Xiao, Zhi-Li. Extended Kohler’s Rule of Magnetoresistance. United States: N. p., 2021. Web. doi:10.1103/PhysRevX.11.041029.
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. Extended Kohler’s Rule of Magnetoresistance. United States. https://doi.org/10.1103/PhysRevX.11.041029
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., and Xiao, Zhi-Li. Wed . "Extended Kohler’s Rule of Magnetoresistance". United States. https://doi.org/10.1103/PhysRevX.11.041029.
@article{osti_1829772,
title = {Extended Kohler’s Rule of Magnetoresistance},
author = {Xu, Jing and Han, Fei and Wang, Ting-Ting and Thoutam, Laxman R. and Pate, Samuel E. and Li, Mingda and Zhang, Xufeng and Wang, Yong-Lei and Fotovat, Roxanna and Welp, Ulrich and Zhou, Xiuquan and Kwok, Wai-Kwong and Chung, Duck Young and Kanatzidis, Mercouri G. and Xiao, Zhi-Li},
abstractNote = {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.},
doi = {10.1103/PhysRevX.11.041029},
journal = {Physical Review. X},
number = 4,
volume = 11,
place = {United States},
year = {2021},
month = {11}
}

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