Spin–orbit torque in a three-fold-symmetric bilayer and its effect on magnetization dynamics

Fang, Wuzhang; Schwartz, Edward; Kovalev, Alexey A.; Belashchenko, K. D.

doi:10.1088/1361-648X/adb192

Spin–orbit torque in a three-fold-symmetric bilayer and its effect on magnetization dynamics

Journal Article · Thu Feb 27 00:00:00 EST 2025 · Journal of Physics. Condensed Matter

DOI:https://doi.org/10.1088/1361-648X/adb192· OSTI ID:2568302

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University of Nebraska-Lincoln, NE (United States)

Field-free switching of perpendicular magnetization has previously been observed in an epitaxial L1₁-ordered CoPt/CuPt bilayer and attributed to spin–orbit torque (SOT) arising from the crystallographic 3m point group of the interface. Using a first-principles nonequilibrium Green's function formalism combined with the Anderson disorder model, we calculate the angular dependence of the SOT in a CoPt/CuPt bilayer and find that the magnitude of the 3m SOT is about 20% of the conventional dampinglike SOT. We further study the magnetization dynamics in perpendicularly magnetized films in the presence of 3m SOT and Dzyaloshinskii–Moriya interaction, using the equations of motion for domain wall dynamics and micromagnetic simulations. For systems where strong interfacial DMI results in the Néel character of domain walls, we find that a very large current density is required to achieve deterministic switching, because reorientation of the magnetization inside the domain wall is necessary to induce the switching asymmetry. For thicker films with relatively weak interfacial DMI and the Bloch character of domain walls, deterministic switching is possible at much smaller current densities, which may explain the recent experimental findings.

View Accepted Manuscript (DOE)

Research Organization:: University of Nebraska-Lincoln, NE (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0021019

OSTI ID:: 2568302

Journal Information:: Journal of Physics. Condensed Matter, Journal Name: Journal of Physics. Condensed Matter Journal Issue: 15 Vol. 37; ISSN 0953-8984; ISSN 1361-648X

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

References (42)

Switching of Perpendicular Magnetization by Spin–Orbit Torque Zhu, Lijun Advanced Materials, Vol. 35, Issue 48 https://doi.org/10.1002/adma.202300853	journal	October 2023
Questaal: A package of electronic structure methods based on the linear muffin-tin orbital technique Pashov, Dimitar; Acharya, Swagata; Lambrecht, Walter R. L. Computer Physics Communications, Vol. 249 https://doi.org/10.1016/j.cpc.2019.107065	journal	April 2020
Perpendicular switching of a single ferromagnetic layer induced by in-plane current injection Miron, Ioan Mihai; Garello, Kevin; Gaudin, Gilles Nature, Vol. 476, Issue 7359 https://doi.org/10.1038/nature10309	journal	August 2011
Current-driven spin torque induced by the Rashba effect in a ferromagnetic metal layer Mihai Miron, Ioan; Gaudin, Gilles; Auffret, Stéphane Nature Materials, Vol. 9, Issue 3 https://doi.org/10.1038/nmat2613	journal	January 2010
New perspectives for Rashba spin–orbit coupling Manchon, A.; Koo, H. C.; Nitta, J. Nature Materials, Vol. 14, Issue 9 https://doi.org/10.1038/nmat4360	journal	August 2015
Switching of perpendicular magnetization by spin–orbit torques in the absence of external magnetic fields Yu, Guoqiang; Upadhyaya, Pramey; Fan, Yabin Nature Nanotechnology, Vol. 9, Issue 7 https://doi.org/10.1038/nnano.2014.94	journal	May 2014
Evidence for reversible control of magnetization in a ferromagnetic material by means of spin–orbit magnetic field Chernyshov, Alexandr; Overby, Mason; Liu, Xinyu Nature Physics, Vol. 5, Issue 9 https://doi.org/10.1038/nphys1362	journal	August 2009
Control of spin–orbit torques through crystal symmetry in WTe2/ferromagnet bilayers MacNeill, D.; Stiehl, G. M.; Guimaraes, M. H. D. Nature Physics, Vol. 13, Issue 3 https://doi.org/10.1038/nphys3933	journal	November 2016
Observation of spin-orbit effects with spin rotation symmetry Humphries, Alisha M.; Wang, Tao; Edwards, Eric R. J. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-00967-w	journal	October 2017
Spin currents and spin–orbit torques in ferromagnetic trilayers Baek, Seung-heon C.; Amin, Vivek P.; Oh, Young-Wan Nature Materials, Vol. 17, Issue 6 https://doi.org/10.1038/s41563-018-0041-5	journal	March 2018
Spin–orbit torque driven by a planar Hall current Safranski, Christopher; Montoya, Eric A.; Krivorotov, Ilya N. Nature Nanotechnology, Vol. 14, Issue 1 https://doi.org/10.1038/s41565-018-0282-0	journal	October 2018
Anomalous spin–orbit torques in magnetic single-layer films Wang, Wenrui; Wang, Tao; Amin, Vivek P. Nature Nanotechnology, Vol. 14, Issue 9 https://doi.org/10.1038/s41565-019-0504-0	journal	July 2019
Symmetry-dependent field-free switching of perpendicular magnetization Liu, Liang; Zhou, Chenghang; Shu, Xinyu Nature Nanotechnology, Vol. 16, Issue 3 https://doi.org/10.1038/s41565-020-00826-8	journal	January 2021
The design and verification of MuMax3 Vansteenkiste, Arne; Leliaert, Jonathan; Dvornik, Mykola AIP Advances, Vol. 4, Issue 10 https://doi.org/10.1063/1.4899186	journal	October 2014
Interfacial spin–orbit torques Amin, V. P.; Haney, P. M.; Stiles, M. D. Journal of Applied Physics, Vol. 128, Issue 15 https://doi.org/10.1063/5.0024019	journal	October 2020
Maximizing spin-orbit torque generated by the spin Hall effect of Pt Zhu, Lijun; Ralph, Daniel C.; Buhrman, Robert A. Applied Physics Reviews, Vol. 8, Issue 3 https://doi.org/10.1063/5.0059171	journal	September 2021
Analytical computation of the demagnetizing energy of thin-film domain walls Skaugen, Audun; Murray, Peyton; Laurson, Lasse Physical Review B, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevB.100.094440	journal	September 2019
Interfacial contributions to spin-orbit torque and magnetoresistance in ferromagnet/heavy-metal bilayers Belashchenko, K. D.; Kovalev, Alexey A.; van Schilfgaarde, M. Physical Review B, Vol. 101, Issue 2 https://doi.org/10.1103/PhysRevB.101.020407	journal	January 2020
Unconventional spin-orbit torque in transition metal dichalcogenide–ferromagnet bilayers from first-principles calculations Xue, Fei; Rohmann, Christoph; Li, Junwen Physical Review B, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevB.102.014401	journal	July 2020
Effect of interfacial intermixing on spin-orbit torque in Co/Pt bilayers Flores, G. G. Baez; Belashchenko, K. D. Physical Review B, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevB.105.054405	journal	February 2022
Spin-orbit torque for field-free switching in C_3⁢v crystals García Ovalle, Diego; Pezo, Armando; Manchon, Aurélien Physical Review B, Vol. 107, Issue 9 https://doi.org/10.1103/PhysRevB.107.094422	journal	March 2023
Angular dependence of spin-orbit torque in monolayer Xue, Fei; Stiles, Mark D.; Haney, Paul M. Physical Review B, Vol. 108 https://doi.org/10.1103/PhysRevB.108.144422	journal	October 2023
Linear methods in band theory Andersen, O. Krogh Physical Review B, Vol. 12, Issue 8 https://doi.org/10.1103/PhysRevB.12.3060	journal	October 1975
Projector augmented-wave method Blöchl, P. E. Physical Review B, Vol. 50, Issue 24, p. 17953-17979 https://doi.org/10.1103/PhysRevB.50.17953	journal	December 1994
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set Kresse, G.; Furthmüller, J. Physical Review B, Vol. 54, Issue 16, p. 11169-11186 https://doi.org/10.1103/PhysRevB.54.11169	journal	October 1996
Ab initio tight-binding LMTO method for nonequilibrium electron transport in nanosystems Faleev, Sergey V.; Léonard, François; Stewart, Derek A. Physical Review B, Vol. 71, Issue 19 https://doi.org/10.1103/PhysRevB.71.195422	journal	May 2005
Calculation of intrinsic spin Hall conductivity by Wannier interpolation Qiao, Junfeng; Zhou, Jiaqi; Yuan, Zhe Physical Review B, Vol. 98, Issue 21 https://doi.org/10.1103/PhysRevB.98.214402	journal	December 2018
Intrinsic spin currents in ferromagnets Amin, V. P.; Li, Junwen; Stiles, M. D. Physical Review B, Vol. 99, Issue 22 https://doi.org/10.1103/PhysRevB.99.220405	journal	June 2019
Intrinsic Spin Hall Effect in Platinum: First-Principles Calculations Guo, G. Y.; Murakami, S.; Chen, T. -W. Physical Review Letters, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevLett.100.096401	journal	March 2008
Current-Induced Torques in the Presence of Spin-Orbit Coupling Haney, Paul M.; Stiles, M. D. Physical Review Letters, Vol. 105, Issue 12 https://doi.org/10.1103/PhysRevLett.105.126602	journal	September 2010
Spin-Torque Ferromagnetic Resonance Induced by the Spin Hall Effect Liu, Luqiao; Moriyama, Takahiro; Ralph, D. C. Physical Review Letters, Vol. 106, Issue 3 https://doi.org/10.1103/PhysRevLett.106.036601	journal	January 2011
Current-Induced Switching of Perpendicularly Magnetized Magnetic Layers Using Spin Torque from the Spin Hall Effect Liu, Luqiao; Lee, O. J.; Gudmundsen, T. J. Physical Review Letters, Vol. 109, Issue 9 https://doi.org/10.1103/PhysRevLett.109.096602	journal	August 2012
Domain Wall Tilting in the Presence of the Dzyaloshinskii-Moriya Interaction in Out-of-Plane Magnetized Magnetic Nanotracks Boulle, O.; Rohart, S.; Buda-Prejbeanu, L. D. Physical Review Letters, Vol. 111, Issue 21 https://doi.org/10.1103/PhysRevLett.111.217203	journal	November 2013
Planar Hall Driven Torque in a Ferromagnet/Nonmagnet/Ferromagnet System Safranski, Christopher; Sun, Jonathan Z.; Xu, Jun-Wen Physical Review Letters, Vol. 124, Issue 19 https://doi.org/10.1103/PhysRevLett.124.197204	journal	May 2020
Generalized Gradient Approximation Made Simple Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868 https://doi.org/10.1103/PhysRevLett.77.3865	journal	October 1996
First-principles calculation of spin-orbit torque in a Co/Pt bilayer Belashchenko, K. D.; Kovalev, Alexey A.; van Schilfgaarde, M. Physical Review Materials, Vol. 3, Issue 1 https://doi.org/10.1103/PhysRevMaterials.3.011401	journal	January 2019
Orbital torque: Torque generation by orbital current injection Go, Dongwook; Lee, Hyun-Woo Physical Review Research, Vol. 2, Issue 1 https://doi.org/10.1103/PhysRevResearch.2.013177	journal	February 2020
Origin of the magnetic spin Hall effect: Spin current vorticity in the Fermi sea Mook, Alexander; Neumann, Robin R.; Johansson, Annika Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023065	journal	April 2020
Theory of current-induced angular momentum transfer dynamics in spin-orbit coupled systems Go, Dongwook; Freimuth, Frank; Hanke, Jan-Philipp Physical Review Research, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevResearch.2.033401	journal	September 2020
Spin Hall effects Sinova, Jairo; Valenzuela, Sergio O.; Wunderlich, J. Reviews of Modern Physics, Vol. 87, Issue 4 https://doi.org/10.1103/RevModPhys.87.1213	journal	October 2015
Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems Manchon, A.; Železný, J.; Miron, I. M. Reviews of Modern Physics, Vol. 91, Issue 3 https://doi.org/10.1103/RevModPhys.91.035004	journal	September 2019
Spin-Torque Switching with the Giant Spin Hall Effect of Tantalum Liu, L.; Pai, C. -F.; Li, Y. Science, Vol. 336, Issue 6081 https://doi.org/10.1126/science.1218197	journal	May 2012

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