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 »
- Authors:
- 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}
}
https://doi.org/10.1103/PhysRevX.11.041029
Works referenced in this record:
Extremely large magnetoresistance and Kohler's rule in : A complete study of thermodynamic, transport, and band-structure properties
journal, October 2017
- Jo, Na Hyun; Wu, Yun; Wang, Lin-Lin
- Physical Review B, Vol. 96, Issue 16
Magnetotransport properties of the topological nodal-line semimetal CaCdSn
journal, July 2020
- Laha, Antu; Mardanya, Sougata; Singh, Bahadur
- Physical Review B, Vol. 102, Issue 3
Violation of Kohler's Rule in the Normal-State Magnetoresistance of and
journal, August 1995
- Harris, J. M.; Yan, Y. F.; Matl, P.
- Physical Review Letters, Vol. 75, Issue 7
Linear Magnetoresistance Caused by Mobility Fluctuations in -Doped
journal, March 2015
- Narayanan, A.; Watson, M. D.; Blake, S. F.
- Physical Review Letters, Vol. 114, Issue 11
Nonsaturating large magnetoresistance in the high carrier density nonsymmorphic metal CrP
journal, March 2019
- Niu, Q.; Yu, W. C.; Aulestia, E. I. Paredes
- Physical Review B, Vol. 99, Issue 12
Temperature dependence of the energy gap of InSb using nonlinear optical techniques
journal, May 1985
- Littler, C. L.; Seiler, D. G.
- Applied Physics Letters, Vol. 46, Issue 10
Interplay of Externally Doped and Thermally Activated Holes in and Their Impact on the Pseudogap Crossover
journal, December 2006
- Gor’kov, Lev P.; Teitel’baum, Gregory B.
- Physical Review Letters, Vol. 97, Issue 24
Origin of the turn-on phenomenon in T d − MoT e 2
journal, August 2017
- Pei, Q. L.; Meng, W. J.; Luo, X.
- Physical Review B, Vol. 96, Issue 7
Evidence for a small hole pocket in the Fermi surface of underdoped YBa2Cu3Oy
journal, January 2015
- Doiron-Leyraud, N.; Badoux, S.; René de Cotret, S.
- Nature Communications, Vol. 6, Issue 1
Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
journal, March 2015
- Weng, Hongming; Fang, Chen; Fang, Zhong
- Physical Review X, Vol. 5, Issue 1
Fermi surface interconnectivity and topology in Weyl fermion semimetals TaAs, TaP, NbAs, and NbP
journal, December 2015
- Lee, Chi-Cheng; Xu, Su-Yang; Huang, Shin-Ming
- Physical Review B, Vol. 92, Issue 23
Magnetotransport properties of
journal, November 2017
- Wang, Aifeng; Graf, D.; Stein, Aaron
- Physical Review B, Vol. 96, Issue 19
Large magnetoresistance and nonzero Berry phase in the nodal-line semimetal
journal, October 2020
- Chen, Qin; Lou, Zhefeng; Zhang, ShengNan
- Physical Review B, Vol. 102, Issue 16
Experimental discovery of a topological Weyl semimetal state in TaP
journal, November 2015
- Xu, Su-Yang; Belopolski, Ilya; Sanchez, Daniel S.
- Science Advances, Vol. 1, Issue 10
Multiband effects and possible Dirac fermions in
journal, April 2014
- Sun, Yue; Taen, Toshihiro; Yamada, Tatsuhiro
- Physical Review B, Vol. 89, Issue 14
Evolution of the Fermi surface of Weyl semimetals in the transition metal pnictide family
journal, November 2015
- Liu, Z. K.; Yang, L. X.; Sun, Y.
- Nature Materials, Vol. 15, Issue 1
Evidence for topological semimetallicity in a chain-compound TaSe3
journal, July 2020
- Saleheen, Ahmad Ikhwan Us; Chapai, Ramakanta; Xing, Lingyi
- npj Quantum Materials, Vol. 5, Issue 1
Anomalous transport phenomena in Fermi liquids with strong magnetic fluctuations
journal, January 2008
- Kontani, Hiroshi
- Reports on Progress in Physics, Vol. 71, Issue 2
Zur magnetischen Widerstandsänderung reiner Metalle
journal, January 1938
- Kohler, Max
- Annalen der Physik, Vol. 424, Issue 1-2
Magnetoresistance in LuBi and YBi semimetals due to nearly perfect carrier compensation
journal, June 2018
- Pavlosiuk, Orest; Swatek, Przemysław; Kaczorowski, Dariusz
- Physical Review B, Vol. 97, Issue 23
Kohler's rule and relaxation rates in high-Tc superconductors
journal, July 2002
- Luo, Nie; Miley, G. H.
- Physica C: Superconductivity, Vol. 371, Issue 4
Temperature-Induced Lifshitz Transition in
journal, October 2015
- Wu, Yun; Jo, Na Hyun; Ochi, Masayuki
- Physical Review Letters, Vol. 115, Issue 16
In-Plane Magnetoresistance Obeys Kohler’s Rule in the Pseudogap Phase of Cuprate Superconductors
journal, October 2014
- Chan, M. K.; Veit, M. J.; Dorow, C. J.
- Physical Review Letters, Vol. 113, Issue 17
Electron scattering in tantalum monoarsenide
journal, February 2017
- Zhang, Cheng-Long; Yuan, Zhujun; Jiang, Qing-Dong
- Physical Review B, Vol. 95, Issue 8
Crystal growth and magneto-transport properties of α -ZrSb 2 and α -HfSb 2
journal, November 2017
- Sun, Lin-Lin; Wang, Yi-Yan; Xu, Sheng
- EPL (Europhysics Letters), Vol. 120, Issue 3
In-plane and out-of-plane magnetoresistance in single crystals
journal, April 1996
- Kimura, T.; Miyasaka, S.; Takagi, H.
- Physical Review B, Vol. 53, Issue 13
Pressure-induced phase transitions and superconductivity in a black phosphorus single crystal
journal, September 2018
- Li, Xiang; Sun, Jianping; Shahi, Prashant
- Proceedings of the National Academy of Sciences, Vol. 115, Issue 40
Magneto-resistance in pristine and irradiated TaAs 2
journal, April 2019
- Harimohan, V.; Bharathi, A.; Rajaraman, R.
- AIP Advances, Vol. 9, Issue 4
Magnetoresistance of the organic superconductor bis-tetramethyltetraselenafulvalenium perchlorate [ Cl ]: Kohler's rule
journal, March 1984
- Forró, L.; Biljaković, K.; Cooper, J. R.
- Physical Review B, Vol. 29, Issue 5
When the Electron Falls Apart
journal, October 1997
- Anderson, Philip W.
- Physics Today, Vol. 50, Issue 10
Optical signature of Weyl electronic structures in tantalum pnictides ( P, As)
journal, August 2017
- Kimura, Shin-ichi; Yokoyama, Hiroko; Watanabe, Hiroshi
- Physical Review B, Vol. 96, Issue 7
Quantum oscillations with angular dependence in PdTe 2 single crystals
journal, October 2020
- Chapai, Ramakanta; Browne, D. A.; Graf, David E.
- Journal of Physics: Condensed Matter, Vol. 33, Issue 3
Possible Coexistence of Local Itinerancy and Global Localization in a Quasi-One-Dimensional Conductor
journal, April 2007
- Narduzzo, A.; Enayati-Rad, A.; Horii, S.
- Physical Review Letters, Vol. 98, Issue 14
Precursor State to Unconventional Superconductivity in
journal, April 2008
- Nair, Sunil; Wirth, S.; Nicklas, M.
- Physical Review Letters, Vol. 100, Issue 13
Magnetoresistance Scaling and the Origin of -Linear Resistivity in
journal, December 2020
- Maksimovic, Nikola; Hayes, Ian M.; Nagarajan, Vikram
- Physical Review X, Vol. 10, Issue 4
Strong and nonmonotonic temperature dependence of Hall coefficient in superconducting single crystals
journal, June 2014
- Ding, Xiaxin; Pan, Yiming; Yang, Huan
- Physical Review B, Vol. 89, Issue 22
Quasiparticle relaxation dynamics in superconductors with different gap structures: Theory and experiments on
journal, January 1999
- Kabanov, V. V.; Demsar, J.; Podobnik, B.
- Physical Review B, Vol. 59, Issue 2
Crystal growth and transport properties of Weyl semimetal TaAs
journal, November 2017
- Sankar, Raman; Peramaiyan, G.; Muthuselvam, I. Panneer
- Journal of Physics: Condensed Matter, Vol. 30, Issue 1
Classical and quantum routes to linear magnetoresistance
journal, September 2008
- Hu, Jingshi; Rosenbaum, T. F.
- Nature Materials, Vol. 7, Issue 9
Extremely large magnetoresistance and the complete determination of the Fermi surface topology in the semimetal ScSb
journal, July 2018
- Hu, Y. J.; Aulestia, E. I. Paredes; Tse, K. F.
- Physical Review B, Vol. 98, Issue 3
Nonsaturating large magnetoresistance in semimetals
journal, October 2018
- Leahy, Ian A.; Lin, Yu-Ping; Siegfried, Peter E.
- Proceedings of the National Academy of Sciences, Vol. 115, Issue 42
Separation of electron and hole dynamics in the semimetal LaSb
journal, September 2017
- Han, F.; Xu, J.; Botana, A. S.
- Physical Review B, Vol. 96, Issue 12
Origin of the turn-on temperature behavior in
journal, November 2015
- Wang, Y. L.; Thoutam, L. R.; Xiao, Z. L.
- Physical Review B, Vol. 92, Issue 18
Compensated electron and hole pockets in an underdoped high- superconductor
journal, June 2010
- Sebastian, Suchitra E.; Harrison, N.; Goddard, P. A.
- Physical Review B, Vol. 81, Issue 21
Doping dependence of the specific heat of single-crystal BaFe (As P )
journal, May 2012
- Chaparro, C.; Fang, L.; Claus, H.
- Physical Review B, Vol. 85, Issue 18
Hall effect and magnetoresistance in single crystals of ( and 0.18)
journal, October 2008
- Cheng, Peng; Yang, Huan; Jia, Ying
- Physical Review B, Vol. 78, Issue 13