DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: First-principles calculation of spin-orbit torque in a Co/Pt bilayer

Abstract

The angular dependence of spin-orbit torque in a disordered Co/Pt bilayer is calculated using a first-principles nonequilibrium Green's function formalism with an explicit supercell averaging over Anderson disorder. In addition to the usual dampinglike and fieldlike terms, the odd torque contains a sizable planar Hall-like term (m∙E)m × (z × m) whose contribution to current-induced damping is consistent with experimental observations. The dampinglike and planar Hall-like torquances depend weakly on disorder strength, while the fieldlike torquance declines with increasing disorder. The torques that contribute to damping are almost entirely due to spin-orbit coupling on the Pt atoms, but the fieldlike torque does not require it.

Authors:
 [1];  [1];  [2]
  1. Univ. of Nebraska, Lincoln, NE (United States). Dept. of Physics and Astronomy and Nebraska Center for Materials and Nanoscience
  2. Kings College London, London (United Kingdom). Dept. of Physics
Publication Date:
Research Org.:
Univ. of Nebraska, Lincoln, NE (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1497407
Alternate Identifier(s):
OSTI ID: 1492754
Grant/Contract Number:  
SC0014189
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Materials
Additional Journal Information:
Journal Volume: 3; Journal Issue: 1; Journal ID: ISSN 2475-9953
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Belashchenko, K. D., Kovalev, Alexey A., and van Schilfgaarde, M. First-principles calculation of spin-orbit torque in a Co/Pt bilayer. United States: N. p., 2019. Web. doi:10.1103/PhysRevMaterials.3.011401.
Belashchenko, K. D., Kovalev, Alexey A., & van Schilfgaarde, M. First-principles calculation of spin-orbit torque in a Co/Pt bilayer. United States. https://doi.org/10.1103/PhysRevMaterials.3.011401
Belashchenko, K. D., Kovalev, Alexey A., and van Schilfgaarde, M. Tue . "First-principles calculation of spin-orbit torque in a Co/Pt bilayer". United States. https://doi.org/10.1103/PhysRevMaterials.3.011401. https://www.osti.gov/servlets/purl/1497407.
@article{osti_1497407,
title = {First-principles calculation of spin-orbit torque in a Co/Pt bilayer},
author = {Belashchenko, K. D. and Kovalev, Alexey A. and van Schilfgaarde, M.},
abstractNote = {The angular dependence of spin-orbit torque in a disordered Co/Pt bilayer is calculated using a first-principles nonequilibrium Green's function formalism with an explicit supercell averaging over Anderson disorder. In addition to the usual dampinglike and fieldlike terms, the odd torque contains a sizable planar Hall-like term (m∙E)m × (z × m) whose contribution to current-induced damping is consistent with experimental observations. The dampinglike and planar Hall-like torquances depend weakly on disorder strength, while the fieldlike torquance declines with increasing disorder. The torques that contribute to damping are almost entirely due to spin-orbit coupling on the Pt atoms, but the fieldlike torque does not require it.},
doi = {10.1103/PhysRevMaterials.3.011401},
journal = {Physical Review Materials},
number = 1,
volume = 3,
place = {United States},
year = {Tue Jan 29 00:00:00 EST 2019},
month = {Tue Jan 29 00:00:00 EST 2019}
}

Journal Article:

Citation Metrics:
Cited by: 34 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Magnetic nano-oscillator driven by pure spin current
journal, October 2012

  • Demidov, Vladislav E.; Urazhdin, Sergei; Ulrichs, Henning
  • Nature Materials, Vol. 11, Issue 12
  • DOI: 10.1038/nmat3459

Spin–orbit torque driven by a planar Hall current
journal, October 2018

  • Safranski, Christopher; Montoya, Eric A.; Krivorotov, Ilya N.
  • Nature Nanotechnology, Vol. 14, Issue 1
  • DOI: 10.1038/s41565-018-0282-0

Spin-Torque Switching with the Giant Spin Hall Effect of Tantalum
journal, May 2012


Interface-Enhanced Spin-Orbit Torques and Current-Induced Magnetization Switching of Pd / Co / AlO x Layers
journal, January 2017


Proximitized materials
journal, January 2019


Recent advances in spin-orbit torques: Moving towards device applications
journal, September 2018

  • Ramaswamy, Rajagopalan; Lee, Jong Min; Cai, Kaiming
  • Applied Physics Reviews, Vol. 5, Issue 3
  • DOI: 10.1063/1.5041793

Spin transport at interfaces with spin-orbit coupling: Phenomenology
journal, September 2016


Ab initio tight-binding LMTO method for nonequilibrium electron transport in nanosystems
journal, May 2005


Current-Induced Switching of Perpendicularly Magnetized Magnetic Layers Using Spin Torque from the Spin Hall Effect
journal, August 2012


Relativistic LMTO method for systems of light elements
journal, June 2008


Magnetic Oscillations Driven by the Spin Hall Effect in 3-Terminal Magnetic Tunnel Junction Devices
journal, October 2012


Generation of coherent spin-wave modes in yttrium iron garnet microdiscs by spin–orbit torque
journal, January 2016

  • Collet, M.; de Milly, X.; d’Allivy Kelly, O.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms10377

Interface control of the magnetic chirality in CoFeB/MgO heterostructures with heavy-metal underlayers
journal, August 2014

  • Torrejon, Jacob; Kim, Junyeon; Sinha, Jaivardhan
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5655

Ultrafast magnetization switching by spin-orbit torques
journal, November 2014

  • Garello, Kevin; Avci, Can Onur; Miron, Ioan Mihai
  • Applied Physics Letters, Vol. 105, Issue 21
  • DOI: 10.1063/1.4902443

Quantifying interface and bulk contributions to spin–orbit torque in magnetic bilayers
journal, January 2014

  • Fan, Xin; Celik, Halise; Wu, Jun
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4042

Angular dependence and symmetry of Rashba spin torque in ferromagnetic heterostructures
journal, June 2013

  • Ortiz Pauyac, Christian; Wang, Xuhui; Chshiev, Mairbek
  • Applied Physics Letters, Vol. 102, Issue 25
  • DOI: 10.1063/1.4812663

Perpendicular switching of a single ferromagnetic layer induced by in-plane current injection
journal, August 2011

  • Miron, Ioan Mihai; Garello, Kevin; Gaudin, Gilles
  • Nature, Vol. 476, Issue 7359
  • DOI: 10.1038/nature10309

Spin transport at interfaces with spin-orbit coupling: Formalism
journal, September 2016


Ultra-Fast and High-Reliability SOT-MRAM: From Cache Replacement to Normally-Off Computing
journal, January 2016

  • Prenat, Guillaume; Jabeur, Kotb; Vanhauwaert, Pierre
  • IEEE Transactions on Multi-Scale Computing Systems, Vol. 2, Issue 1
  • DOI: 10.1109/TMSCS.2015.2509963

Ground States of Constrained Systems: Application to Cerium Impurities
journal, December 1984


Spin-Torque Ferromagnetic Resonance Induced by the Spin Hall Effect
journal, January 2011


Layer thickness dependence of the current-induced effective field vector in Ta|CoFeB|MgO
journal, December 2012

  • Kim, Junyeon; Sinha, Jaivardhan; Hayashi, Masamitsu
  • Nature Materials, Vol. 12, Issue 3
  • DOI: 10.1038/nmat3522

Spin-transfer torque generated by a topological insulator
journal, July 2014

  • Mellnik, A. R.; Lee, J. S.; Richardella, A.
  • Nature, Vol. 511, Issue 7510
  • DOI: 10.1038/nature13534

An antidamping spin–orbit torque originating from the Berry curvature
journal, March 2014

  • Kurebayashi, H.; Sinova, Jairo; Fang, D.
  • Nature Nanotechnology, Vol. 9, Issue 3
  • DOI: 10.1038/nnano.2014.15

Nanowire spin torque oscillator driven by spin orbit torques
journal, December 2014

  • Duan, Zheng; Smith, Andrew; Yang, Liu
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6616

Spin Currents and Spin Dynamics in Time-Dependent Density-Functional Theory
journal, October 2001


Anomalous temperature dependence of current-induced torques in CoFeB / MgO heterostructures with Ta-based underlayers
journal, May 2014


Evidence for reversible control of magnetization in a ferromagnetic material by means of spin–orbit magnetic field
journal, August 2009

  • Chernyshov, Alexandr; Overby, Mason; Liu, Xinyu
  • Nature Physics, Vol. 5, Issue 9
  • DOI: 10.1038/nphys1362

Theory of spin torque due to spin-orbit coupling
journal, March 2009


Spin-orbit torques in Co/Pt(111) and Mn/W(001) magnetic bilayers from first principles
journal, November 2014


Adiabatic spin dynamics from spin-density-functional theory: Application to Fe, Co, and Ni
journal, July 1998


Spin Torque Study of the Spin Hall Conductivity and Spin Diffusion Length in Platinum Thin Films with Varying Resistivity
journal, March 2016


Electronic Structure of Disordered Alloys, Surfaces and Interfaces
book, January 1997


Calculations of Spin-Wave Energy Gap in Transition Metals
journal, January 1991


Giant Room Temperature Interface Spin Hall and Inverse Spin Hall Effects
journal, May 2016


Current-induced order parameter dynamics: Microscopic theory applied to Co Cu Co spin valves
journal, July 2007


First-principles study of the angular dependence of the spin-orbit torque in Pt/Co and Pd/Co bilayers
journal, June 2018


Spin-orbit torques in two-dimensional Rashba ferromagnets
journal, July 2015


Towards a constrained local moment model for first principles spin dynamics
journal, November 1998


Mixed Weyl semimetals and low-dissipation magnetization control in insulators by spin–orbit torques
journal, November 2017


Long-range mutual synchronization of spin Hall nano-oscillators
journal, November 2016

  • Awad, A. A.; Dürrenfeld, P.; Houshang, A.
  • Nature Physics, Vol. 13, Issue 3
  • DOI: 10.1038/nphys3927

Control of spin–orbit torques through crystal symmetry in WTe2/ferromagnet bilayers
journal, November 2016

  • MacNeill, D.; Stiehl, G. M.; Guimaraes, M. H. D.
  • Nature Physics, Vol. 13, Issue 3
  • DOI: 10.1038/nphys3933

Fully relativistic description of spin-orbit torques by means of linear response theory
journal, August 2016


Dependence of the efficiency of spin Hall torque on the transparency of Pt/ferromagnetic layer interfaces
journal, August 2015


Spin Hall effects
journal, October 2015

  • Sinova, Jairo; Valenzuela, Sergio O.; Wunderlich, J.
  • Reviews of Modern Physics, Vol. 87, Issue 4
  • DOI: 10.1103/RevModPhys.87.1213

Interplay of magnon and electron currents in magnetic heterostructure
journal, July 2017


Semiclassical theory of spin-orbit torques in disordered multiband electron systems
journal, July 2017


Domain-wall velocities of up to 750 m s−1 driven by exchange-coupling torque in synthetic antiferromagnets
journal, February 2015

  • Yang, See-Hun; Ryu, Kwang-Su; Parkin, Stuart
  • Nature Nanotechnology, Vol. 10, Issue 3
  • DOI: 10.1038/nnano.2014.324

Influence of a transport current on magnetic anisotropy in gyrotropic ferromagnets
journal, October 2009


Current-driven spin torque induced by the Rashba effect in a ferromagnetic metal layer
journal, January 2010

  • Mihai Miron, Ioan; Gaudin, Gilles; Auffret, Stéphane
  • Nature Materials, Vol. 9, Issue 3
  • DOI: 10.1038/nmat2613

Symmetry and magnitude of spin–orbit torques in ferromagnetic heterostructures
journal, July 2013

  • Garello, Kevin; Miron, Ioan Mihai; Avci, Can Onur
  • Nature Nanotechnology, Vol. 8, Issue 8
  • DOI: 10.1038/nnano.2013.145

Hf thickness dependence of spin-orbit torques in Hf/CoFeB/MgO heterostructures
journal, May 2016

  • Ramaswamy, Rajagopalan; Qiu, Xuepeng; Dutta, Tanmay
  • Applied Physics Letters, Vol. 108, Issue 20
  • DOI: 10.1063/1.4951674

Origin of the spin reorientation transitions in (Fe1–xCox)2B alloys
journal, February 2015

  • Belashchenko, Kirill D.; Ke, Liqin; Däne, Markus
  • Applied Physics Letters, Vol. 106, Issue 6
  • DOI: 10.1063/1.4908056

Electric Manipulation of Spin Relaxation Using the Spin Hall Effect
journal, July 2008


Microscopic theory of spin-orbit torques in two dimensions
journal, March 2017


Angular and temperature dependence of current induced spin-orbit effective fields in Ta/CoFeB/MgO nanowires
journal, March 2014

  • Qiu, Xuepeng; Deorani, Praveen; Narayanapillai, Kulothungasagaran
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep04491

New perspectives for Rashba spin–orbit coupling
journal, August 2015

  • Manchon, A.; Koo, H. C.; Nitta, J.
  • Nature Materials, Vol. 14, Issue 9
  • DOI: 10.1038/nmat4360

Spin dynamics in magnets: Equation of motion and finite temperature effects
journal, July 1996


Angular and temperature dependence of current induced spin-orbit effective fields in Ta/CoFeB/MgO nanowires
text, January 2014


Generation of coherent spin-wave modes in Yttrium Iron Garnet microdiscs by spin-orbit torque
text, January 2015


New Perspectives for Rashba Spin-Orbit Coupling
text, January 2015


Spin currents and spin dynamics in time-dependent density-functional theory
text, January 2001


Works referencing / citing this record:

Electrically driven spin torque and dynamical Dzyaloshinskii-Moriya interaction in magnetic bilayer systems
journal, July 2019

  • Takeuchi, Akihito; Mizushima, Shigeyasu; Mochizuki, Masahito
  • Scientific Reports, Vol. 9, Issue 1
  • DOI: 10.1038/s41598-019-46009-x

Spin-orbit torques and their associated effective fields from gigahertz to terahertz
journal, January 2020

  • Guimarães, Filipe S. M.; Bouaziz, Juba; dos Santos Dias, Manuel
  • Communications Physics, Vol. 3, Issue 1
  • DOI: 10.1038/s42005-020-0282-x

Magnonic analog of the Edelstein effect in antiferromagnetic insulators
journal, January 2020


Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
text, January 2018


Interfacial contributions to spin-orbit torque and magnetoresistance in ferromagnet/heavy-metal bilayers
text, January 2019


Magnonic Analogue of Edelstein Effect in Antiferromagnetic Insulators
text, January 2019