Extended Kohler’s Rule of Magnetoresistance

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

doi:10.1103/PhysRevX.11.041029

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/(n_Tρ0)], 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 BaFe₂(As_1–xP_x)₂ to settle a long-standing debate on the scaling behavior of the normal-state magnetoresistance of a superconductor, namely, MR ~ tan²θ_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 andmore » experimentally.« less

Authors:

Xu, Jing; Han, Fei; Wang, Ting-Ting; Thoutam, Laxman R.;

; Li, Mingda; Zhang, Xufeng; Wang, Yong-Lei;

; Welp, Ulrich;

; Kwok, Wai-Kwong;

; Kanatzidis, Mercouri G.;

Publication Date:: 2021-11-10

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.

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                    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

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                    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.

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@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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Title: Extended Kohler’s Rule of Magnetoresistance

Abstract

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Origin of the turn-on phenomenon in T d − MoT e 2
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Evidence for a small hole pocket in the Fermi surface of underdoped YBa2Cu3Oy
journal, January 2015

Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
journal, March 2015

Fermi surface interconnectivity and topology in Weyl fermion semimetals TaAs, TaP, NbAs, and NbP
journal, December 2015

Magnetotransport properties of ${MoP}_{2}$
journal, November 2017

Large magnetoresistance and nonzero Berry phase in the nodal-line semimetal $Mo O_{2}$
journal, October 2020

Experimental discovery of a topological Weyl semimetal state in TaP
journal, November 2015

Multiband effects and possible Dirac fermions in ${Fe}_{1 + y}$ ${Te}_{0.6}$ ${Se}_{0.4}$
journal, April 2014

Evolution of the Fermi surface of Weyl semimetals in the transition metal pnictide family
journal, November 2015

Evidence for topological semimetallicity in a chain-compound TaSe3
journal, July 2020

Anomalous transport phenomena in Fermi liquids with strong magnetic fluctuations
journal, January 2008

Zur magnetischen Widerstandsänderung reiner Metalle
journal, January 1938

Magnetoresistance in LuBi and YBi semimetals due to nearly perfect carrier compensation
journal, June 2018

Kohler's rule and relaxation rates in high-Tc superconductors
journal, July 2002

Temperature-Induced Lifshitz Transition in ${WTe}_{2}$
journal, October 2015

In-Plane Magnetoresistance Obeys Kohler’s Rule in the Pseudogap Phase of Cuprate Superconductors
journal, October 2014

Electron scattering in tantalum monoarsenide
journal, February 2017

Crystal growth and magneto-transport properties of α -ZrSb ₂ and α -HfSb ₂
journal, November 2017

In-plane and out-of-plane magnetoresistance in ${La}_{2 - x}$ ${Sr}_{x}$ ${CuO}_{4}$ single crystals
journal, April 1996

Pressure-induced phase transitions and superconductivity in a black phosphorus single crystal
journal, September 2018

Magneto-resistance in pristine and irradiated TaAs ₂
journal, April 2019

Magnetoresistance of the organic superconductor bis-tetramethyltetraselenafulvalenium perchlorate [ ${(TMTSF)}_{2}$ Cl $O_{4}$ ]: Kohler's rule
journal, March 1984

When the Electron Falls Apart
journal, October 1997

Optical signature of Weyl electronic structures in tantalum pnictides $Ta P n$ ( $P n =$ P, As)
journal, August 2017

Quantum oscillations with angular dependence in PdTe ₂ single crystals
journal, October 2020

Possible Coexistence of Local Itinerancy and Global Localization in a Quasi-One-Dimensional Conductor
journal, April 2007

Precursor State to Unconventional Superconductivity in ${CeIrIn}_{5}$
journal, April 2008

Magnetoresistance Scaling and the Origin of $H$ -Linear Resistivity in ${BaFe}_{2} ({As}_{1 - x} P_{x})_{2}$
journal, December 2020

Strong and nonmonotonic temperature dependence of Hall coefficient in superconducting $K_{x} {Fe}_{2 - y} {Se}_{2}$ single crystals
journal, June 2014

Quasiparticle relaxation dynamics in superconductors with different gap structures: Theory and experiments on ${YBa}_{2} {Cu}_{3} O_{7 - δ}$
journal, January 1999

Crystal growth and transport properties of Weyl semimetal TaAs
journal, November 2017

Classical and quantum routes to linear magnetoresistance
journal, September 2008

Extremely large magnetoresistance and the complete determination of the Fermi surface topology in the semimetal ScSb
journal, July 2018

Nonsaturating large magnetoresistance in semimetals
journal, October 2018

Separation of electron and hole dynamics in the semimetal LaSb
journal, September 2017

Origin of the turn-on temperature behavior in ${WTe}_{2}$
journal, November 2015

Compensated electron and hole pockets in an underdoped high- $T_{c}$ superconductor
journal, June 2010

Doping dependence of the specific heat of single-crystal BaFe $_{2}$ (As $_{1 - x}$ P $_{x}$ ) $_{2}$
journal, May 2012

Hall effect and magnetoresistance in single crystals of ${NdFeAsO}_{1 - x} F_{x}$ ( $x = 0$ and 0.18)
journal, October 2008