Antisymmetric linear magnetoresistance and the planar Hall effect

doi:10.1038/s41467-019-14057-6

Title: Antisymmetric linear magnetoresistance and the planar Hall effect

Abstract

The phenomena of antisymmetric magnetoresistance and the planar Hall effect are deeply entwined with ferromagnetism. The intrinsic magnetization of the ordered state permits these unusual and rarely observed manifestations of Onsager’s theorem when time reversal symmetry is broken at zero applied field. Here we study two classes of ferromagnetic materials, rare-earth magnets with high intrinsic coercivity and antiferromagnetic pyrochlores with strongly-pinned ferromagnetic domain walls, which both exhibit antisymmetric magnetoresistive behavior. By mapping out the peculiar angular variation of the antisymmetric galvanomagnetic response with respect to the relative alignments of the magnetization, magnetic field, and electrical current, we experimentally distinguish two distinct underlying microscopic mechanisms: namely, spin-dependent scattering of a Zeeman-shifted Fermi surface and anomalous electron velocities. Our work demonstrates that the anomalous electron velocity physics typically associated with the anomalous Hall effect is prevalent beyond the ρ_xy(H_z) channel, and should be understood as a part of the general galvanomagnetic behavior.

Authors:

Wang, Yishu ^[1]; Lee, Patrick A. ^[2]; Silevitch, D. M. ^[3]; Gomez, F. ^[3]; Cooper, S. E. ^[4]; Ren, Y. ^[5];

^[6]; Mandrus, D. ^[7]; Rosenbaum, T. F. ^[3]; Feng, Yejun ^[8]

California Inst. of Technology (CalTech), Pasadena, CA (United States); Johns Hopkins Univ., Baltimore, MD (United States)
California Inst. of Technology (CalTech), Pasadena, CA (United States); Massachusetts Inst. of Technology, Cambridge, MA (United States)
California Inst. of Technology (CalTech), Pasadena, CA (United States)
Okinawa Inst. of Science and Technology Graduate Univ., Onna, Okinawa (Japan)
Argonne National Lab. (ANL), Argonne, IL (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
California Inst. of Technology (CalTech), Pasadena, CA (United States); Okinawa Inst. of Science and Technology Graduate Univ., Onna, Okinawa (Japan)

Publication Date:: 2020-01-10

Research Org.:: Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Okinawa Institute of Science and Technology Graduate University (OIST), Government of Japan

OSTI Identifier:: 1595699

Alternate Identifier(s):: OSTI ID: 1608190

Grant/Contract Number:: AC02-06CH11357; DMR-1606858; FG02-03ER46076; AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Nature Communications

Additional Journal Information:: Journal Volume: 11; Journal Issue: 1; Journal ID: ISSN 2041-1723

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; condensed matter physics; material science

Citation Formats


                    Wang, Yishu, Lee, Patrick A., Silevitch, D. M., Gomez, F., Cooper, S. E., Ren, Y., Yan, J.-Q., Mandrus, D., Rosenbaum, T. F., and Feng, Yejun. Antisymmetric linear magnetoresistance and the planar Hall effect.  United States: N. p., 2020. 
        Web.  doi:10.1038/s41467-019-14057-6.

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                    Wang, Yishu, Lee, Patrick A., Silevitch, D. M., Gomez, F., Cooper, S. E., Ren, Y., Yan, J.-Q., Mandrus, D., Rosenbaum, T. F., & Feng, Yejun. Antisymmetric linear magnetoresistance and the planar Hall effect.  United States.  doi:10.1038/s41467-019-14057-6.

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                    Wang, Yishu, Lee, Patrick A., Silevitch, D. M., Gomez, F., Cooper, S. E., Ren, Y., Yan, J.-Q., Mandrus, D., Rosenbaum, T. F., and Feng, Yejun. Fri .  
        "Antisymmetric linear magnetoresistance and the planar Hall effect".  United States.  doi:10.1038/s41467-019-14057-6.  https://www.osti.gov/servlets/purl/1595699.

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@article{osti_1595699,

  title        = {Antisymmetric linear magnetoresistance and the planar Hall effect},

  author       = {Wang, Yishu and Lee, Patrick A. and Silevitch, D. M. and Gomez, F. and Cooper, S. E. and Ren, Y. and Yan, J.-Q. and Mandrus, D. and Rosenbaum, T. F. and Feng, Yejun},

  abstractNote = {The phenomena of antisymmetric magnetoresistance and the planar Hall effect are deeply entwined with ferromagnetism. The intrinsic magnetization of the ordered state permits these unusual and rarely observed manifestations of Onsager’s theorem when time reversal symmetry is broken at zero applied field. Here we study two classes of ferromagnetic materials, rare-earth magnets with high intrinsic coercivity and antiferromagnetic pyrochlores with strongly-pinned ferromagnetic domain walls, which both exhibit antisymmetric magnetoresistive behavior. By mapping out the peculiar angular variation of the antisymmetric galvanomagnetic response with respect to the relative alignments of the magnetization, magnetic field, and electrical current, we experimentally distinguish two distinct underlying microscopic mechanisms: namely, spin-dependent scattering of a Zeeman-shifted Fermi surface and anomalous electron velocities. Our work demonstrates that the anomalous electron velocity physics typically associated with the anomalous Hall effect is prevalent beyond the ρxy(Hz) channel, and should be understood as a part of the general galvanomagnetic behavior.},

  doi          = {10.1038/s41467-019-14057-6},

  journal      = {Nature Communications},

  number       = 1,

  volume       = 11,

  place        = {United States},

  year         = {2020},

  month        = {1}

}

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DOI: 10.1038/s41467-019-14057-6

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Works referenced in this record:

Robust ferromagnetism carried by antiferromagnetic domain walls
journal, February 2017

Hirose, Hishiro T.; Yamaura, Jun-ichi; Hiroi, Zenji
Scientific Reports, Vol. 7, Issue 1
DOI: 10.1038/srep42440

Relation between coercive force and microstructure of sintered SmCo 5 permanent magnets
journal, June 1976

den Broeder, F. J. A.; Zijlstra, H.
Journal of Applied Physics, Vol. 47, Issue 6
DOI: 10.1063/1.322990

Nonsaturating magnetoresistance of inhomogeneous conductors: Comparison of experiment and simulation
journal, June 2007

Hu, Jingshi; Parish, Meera M.; Rosenbaum, T. F.
Physical Review B, Vol. 75, Issue 21
DOI: 10.1103/PhysRevB.75.214203

Solitonlike magnetization textures in noncollinear antiferromagnets
journal, April 2016

Ulloa, Camilo; Nunez, A. S.
Physical Review B, Vol. 93, Issue 13
DOI: 10.1103/PhysRevB.93.134429

Spin Hall effect devices
journal, April 2012

Jungwirth, Tomas; Wunderlich, Jörg; Olejník, Kamil
Nature Materials, Vol. 11, Issue 5
DOI: 10.1038/nmat3279

Remarks on linear magneto-resistance and magneto-heat-conductivity
journal, July 1965

Shtrikman, S.; Thomas, H.
Solid State Communications, Vol. 3, Issue 7
DOI: 10.1016/0038-1098(65)90178-X

Linear magnetoresistance in the low-field limit in density-wave materials
journal, April 2019

Feng, Yejun; Wang, Yishu; Silevitch, D. M.
Proceedings of the National Academy of Sciences, Vol. 116, Issue 23
DOI: 10.1073/pnas.1820092116

Extraordinary galvanomagnetic effects in polycrystalline magnetic films
journal, February 2016

Zhang, Y.; Wang, X. R.; Zhang, H. W.
EPL (Europhysics Letters), Vol. 113, Issue 4
DOI: 10.1209/0295-5075/113/47003

Chiral anomaly and classical negative magnetoresistance of Weyl metals
journal, September 2013

Son, D. T.; Spivak, B. Z.
Physical Review B, Vol. 88, Issue 10
DOI: 10.1103/PhysRevB.88.104412

Magnetoresistance of ferromagnetic metals and alloys at low temperatures
journal, June 1951

Smit, J.
Physica, Vol. 17, Issue 6
DOI: 10.1016/0031-8914(51)90117-6

Some New Results on Antiferromagnetism and Ferromagnetism
journal, January 1953

Néel, Louis
Reviews of Modern Physics, Vol. 25, Issue 1
DOI: 10.1103/RevModPhys.25.58

Electrical Resistance of Ferromagnetic Metals
journal, July 1956

Kasuya, Tadao
Progress of Theoretical Physics, Vol. 16, Issue 1
DOI: 10.1143/PTP.16.58

Odd-parity magnetoresistance in pyrochlore iridate thin films with broken time-reversal symmetry
journal, May 2015

Fujita, T. C.; Kozuka, Y.; Uchida, M.
Scientific Reports, Vol. 5, Issue 1
DOI: 10.1038/srep09711

Continuous metal-insulator transition in the pyrochlore ${Cd}_{2} {Os}_{2} O_{7}$
journal, April 2001

Mandrus, D.; Thompson, J. R.; Gaal, R.
Physical Review B, Vol. 63, Issue 19
DOI: 10.1103/PhysRevB.63.195104

Reverse‐field reciprocity for conducting specimens in magnetic fields
journal, February 1987

Sample, H. H.; Bruno, W. J.; Sample, S. B.
Journal of Applied Physics, Vol. 61, Issue 3
DOI: 10.1063/1.338202

New Galvanomagnetic Effect
journal, June 1954

Goldberg, Colman; Davis, R. E.
Physical Review, Vol. 94, Issue 5
DOI: 10.1103/PhysRev.94.1121

Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
journal, April 2008

Onoda, Shigeki; Sugimoto, Naoyuki; Nagaosa, Naoto
Physical Review B, Vol. 77, Issue 16
DOI: 10.1103/PhysRevB.77.165103

Non-saturating magnetoresistance in heavily disordered semiconductors
journal, November 2003

Parish, M. M.; Littlewood, P. B.
Nature, Vol. 426, Issue 6963
DOI: 10.1038/nature02073

Note on the Theory of Resistance of a Cubic Semiconductor in a Magnetic Field
journal, July 1950

Seitz, Frederick
Physical Review, Vol. 79, Issue 2
DOI: 10.1103/PhysRev.79.372

Berry phase effects on electronic properties
journal, July 2010

Xiao, Di; Chang, Ming-Che; Niu, Qian
Reviews of Modern Physics, Vol. 82, Issue 3
DOI: 10.1103/RevModPhys.82.1959

Magnetoresistive Measurements on Domain Rotation and Wall Development in Ni-Fe Alloy Films
journal, March 1961

West, Forrest G.
Journal of Applied Physics, Vol. 32, Issue 3
DOI: 10.1063/1.2000442

Anomalous Hall Effect Arising from Noncollinear Antiferromagnetism
journal, January 2014

Chen, Hua; Niu, Qian; MacDonald, A. H.
Physical Review Letters, Vol. 112, Issue 1
DOI: 10.1103/PhysRevLett.112.017205

Anomalous Hall effect
journal, May 2010

Nagaosa, Naoto; Sinova, Jairo; Onoda, Shigeki
Reviews of Modern Physics, Vol. 82, Issue 2
DOI: 10.1103/RevModPhys.82.1539

All-In–All-Out Magnetic Domains: X-Ray Diffraction Imaging and Magnetic Field Control
journal, April 2015

Tardif, Samuel; Takeshita, Soshi; Ohsumi, Hiroyuki
Physical Review Letters, Vol. 114, Issue 14
DOI: 10.1103/PhysRevLett.114.147205

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Title: Antisymmetric linear magnetoresistance and the planar Hall effect

Abstract

Citation Formats

Robust ferromagnetism carried by antiferromagnetic domain walls journal, February 2017

Relation between coercive force and microstructure of sintered SmCo 5 permanent magnets journal, June 1976

Nonsaturating magnetoresistance of inhomogeneous conductors: Comparison of experiment and simulation journal, June 2007

Solitonlike magnetization textures in noncollinear antiferromagnets journal, April 2016

Spin Hall effect devices journal, April 2012

Remarks on linear magneto-resistance and magneto-heat-conductivity journal, July 1965

Linear magnetoresistance in the low-field limit in density-wave materials journal, April 2019

Extraordinary galvanomagnetic effects in polycrystalline magnetic films journal, February 2016

Chiral anomaly and classical negative magnetoresistance of Weyl metals journal, September 2013

Magnetoresistance of ferromagnetic metals and alloys at low temperatures journal, June 1951

Some New Results on Antiferromagnetism and Ferromagnetism journal, January 1953

Electrical Resistance of Ferromagnetic Metals journal, July 1956

Odd-parity magnetoresistance in pyrochlore iridate thin films with broken time-reversal symmetry journal, May 2015

Continuous metal-insulator transition in the pyrochlore Cd 2 Os 2 O 7 journal, April 2001

Reverse‐field reciprocity for conducting specimens in magnetic fields journal, February 1987

New Galvanomagnetic Effect journal, June 1954

Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets journal, April 2008

Non-saturating magnetoresistance in heavily disordered semiconductors journal, November 2003

Note on the Theory of Resistance of a Cubic Semiconductor in a Magnetic Field journal, July 1950

Berry phase effects on electronic properties journal, July 2010

Magnetoresistive Measurements on Domain Rotation and Wall Development in Ni-Fe Alloy Films journal, March 1961

Anomalous Hall Effect Arising from Noncollinear Antiferromagnetism journal, January 2014

Anomalous Hall effect journal, May 2010

All-In–All-Out Magnetic Domains: X-Ray Diffraction Imaging and Magnetic Field Control journal, April 2015

Robust ferromagnetism carried by antiferromagnetic domain walls
journal, February 2017

Relation between coercive force and microstructure of sintered SmCo 5 permanent magnets
journal, June 1976

Nonsaturating magnetoresistance of inhomogeneous conductors: Comparison of experiment and simulation
journal, June 2007

Solitonlike magnetization textures in noncollinear antiferromagnets
journal, April 2016

Spin Hall effect devices
journal, April 2012

Remarks on linear magneto-resistance and magneto-heat-conductivity
journal, July 1965

Linear magnetoresistance in the low-field limit in density-wave materials
journal, April 2019

Extraordinary galvanomagnetic effects in polycrystalline magnetic films
journal, February 2016

Chiral anomaly and classical negative magnetoresistance of Weyl metals
journal, September 2013

Magnetoresistance of ferromagnetic metals and alloys at low temperatures
journal, June 1951

Some New Results on Antiferromagnetism and Ferromagnetism
journal, January 1953

Electrical Resistance of Ferromagnetic Metals
journal, July 1956

Odd-parity magnetoresistance in pyrochlore iridate thin films with broken time-reversal symmetry
journal, May 2015

Continuous metal-insulator transition in the pyrochlore ${Cd}_{2} {Os}_{2} O_{7}$
journal, April 2001

Reverse‐field reciprocity for conducting specimens in magnetic fields
journal, February 1987

New Galvanomagnetic Effect
journal, June 1954

Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
journal, April 2008

Non-saturating magnetoresistance in heavily disordered semiconductors
journal, November 2003

Note on the Theory of Resistance of a Cubic Semiconductor in a Magnetic Field
journal, July 1950

Berry phase effects on electronic properties
journal, July 2010

Magnetoresistive Measurements on Domain Rotation and Wall Development in Ni-Fe Alloy Films
journal, March 1961

Anomalous Hall Effect Arising from Noncollinear Antiferromagnetism
journal, January 2014

Anomalous Hall effect
journal, May 2010

All-In–All-Out Magnetic Domains: X-Ray Diffraction Imaging and Magnetic Field Control
journal, April 2015