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Title: Topological Hall effect in diffusive ferromagnetic thin films with spin-flip scattering

Abstract

In this paper, we study the topological Hall (TH) effect in a diffusive ferromagnetic metal thin film by solving a Boltzmann transport equation in the presence of spin-flip scattering. A generalized spin-diffusion equation is derived which contains an additional source term associated with the gradient of the emergent magnetic field that arises from skyrmions. Because of the source term, spin accumulation may build up in the vicinity of the skyrmions. This gives rise to a spin-polarized diffusion current that in general suppresses the bulk TH current. Only when the spin-diffusion length is much smaller than the skyrmion size does the TH resistivity approach the value derived by Bruno et al. [Phys. Rev. Lett. 93, 096806 (2004)]. Finally, we derive a general expression of the TH resistivity that applies to thin-film geometries with spin-flip scattering, and show that the corrections to the TH resistivity become large when the size of room temperature skyrmions is further reduced to tens of nanometers.

Authors:
 [1];  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division; Northwestern-Argonne Inst. of Science and Technology, Evanston, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1433913
Alternate Identifier(s):
OSTI ID: 1430774
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 13; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; skyrmions; spin accumulation; spin relaxation

Citation Formats

Zhang, Steven S. -L., and Heinonen, Olle. Topological Hall effect in diffusive ferromagnetic thin films with spin-flip scattering. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.134401.
Zhang, Steven S. -L., & Heinonen, Olle. Topological Hall effect in diffusive ferromagnetic thin films with spin-flip scattering. United States. doi:10.1103/PhysRevB.97.134401.
Zhang, Steven S. -L., and Heinonen, Olle. Mon . "Topological Hall effect in diffusive ferromagnetic thin films with spin-flip scattering". United States. doi:10.1103/PhysRevB.97.134401. https://www.osti.gov/servlets/purl/1433913.
@article{osti_1433913,
title = {Topological Hall effect in diffusive ferromagnetic thin films with spin-flip scattering},
author = {Zhang, Steven S. -L. and Heinonen, Olle},
abstractNote = {In this paper, we study the topological Hall (TH) effect in a diffusive ferromagnetic metal thin film by solving a Boltzmann transport equation in the presence of spin-flip scattering. A generalized spin-diffusion equation is derived which contains an additional source term associated with the gradient of the emergent magnetic field that arises from skyrmions. Because of the source term, spin accumulation may build up in the vicinity of the skyrmions. This gives rise to a spin-polarized diffusion current that in general suppresses the bulk TH current. Only when the spin-diffusion length is much smaller than the skyrmion size does the TH resistivity approach the value derived by Bruno et al. [Phys. Rev. Lett. 93, 096806 (2004)]. Finally, we derive a general expression of the TH resistivity that applies to thin-film geometries with spin-flip scattering, and show that the corrections to the TH resistivity become large when the size of room temperature skyrmions is further reduced to tens of nanometers.},
doi = {10.1103/PhysRevB.97.134401},
journal = {Physical Review B},
number = 13,
volume = 97,
place = {United States},
year = {2018},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 2 works
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Figures / Tables:

FIG. 1 FIG. 1: FIG. 1: Schematics of the TH effect in a diffusive ferromagnetic thin film when an external electric field E is applied: (a) The trajectories of spin-up and spin-down electrons traversing a Néel-type skyrmion of radius rsk due to the TH effect, and (b) spin accumulations built up atmore » the lateral boundaries of the thin film as well as in the vicinity of the skyrmion within spin diffusion length λsd, owing to the nonuniform emergent magnetic field. Note that the emergent magnetic field acting on spin-up electrons, i.e., B (denoted by hollow green arrows), and that acting on spin-down electrons, i.e., B (denoted by hollow orange arrows), are in opposite directions.« less

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Works referenced in this record:

Topological Hall and spin Hall effects in disordered skyrmionic textures
journal, February 2017

  • Ndiaye, Papa Birame; Akosa, Collins Ashu; Manchon, Aurélien
  • Physical Review B, Vol. 95, Issue 6
  • DOI: 10.1103/PhysRevB.95.064426

Topological insulators and superconductors
journal, October 2011


Discretized topological Hall effect emerging from skyrmions in constricted geometry
journal, January 2015


Room-temperature chiral magnetic skyrmions in ultrathin magnetic nanostructures
journal, January 2016

  • Boulle, Olivier; Vogel, Jan; Yang, Hongxin
  • Nature Nanotechnology, Vol. 11, Issue 5
  • DOI: 10.1038/nnano.2015.315

Path to collapse for an isolated Néel skyrmion
journal, June 2016


Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmions at room temperature
journal, January 2016

  • Moreau-Luchaire, C.; Moutafis, C.; Reyren, N.
  • Nature Nanotechnology, Vol. 11, Issue 5
  • DOI: 10.1038/nnano.2015.313

Large Topological Hall Effect in a Short-Period Helimagnet MnGe
journal, April 2011


Electrical resistivity of ferromagnetic nickel and iron based alloys
journal, May 1976


Skyrmion Lattice in a Chiral Magnet
journal, February 2009


Nucleation, stability and current-induced motion of isolated magnetic skyrmions in nanostructures
journal, October 2013


Colloquium: Topological insulators
journal, November 2010


Extended Skyrmion Phase in Epitaxial FeGe ( 111 ) Thin Films
journal, June 2012


Observation of room-temperature magnetic skyrmions and their current-driven dynamics in ultrathin metallic ferromagnets
journal, February 2016

  • Woo, Seonghoon; Litzius, Kai; Krüger, Benjamin
  • Nature Materials, Vol. 15, Issue 5
  • DOI: 10.1038/nmat4593

Topological Hall Effect from Strong to Weak Coupling
journal, March 2018

  • Nakazawa, Kazuki; Bibes, Manuel; Kohno, Hiroshi
  • Journal of the Physical Society of Japan, Vol. 87, Issue 3
  • DOI: 10.7566/JPSJ.87.033705

Skyrmion-Electronics: An Overview and Outlook
journal, October 2016


Room-Temperature Skyrmion Shift Device for Memory Application
journal, December 2016


Topological Hall Effect and Berry Phase in Magnetic Nanostructures
journal, August 2004


Dynamics of magnetic vortices
journal, August 1991


Tunable room-temperature magnetic skyrmions in Ir/Fe/Co/Pt multilayers
journal, July 2017

  • Soumyanarayanan, Anjan; Raju, M.; Gonzalez Oyarce, A. L.
  • Nature Materials, Vol. 16, Issue 9
  • DOI: 10.1038/nmat4934

Generation of magnetic skyrmion bubbles by inhomogeneous spin Hall currents
journal, March 2016


Linear momentum in ferromagnets
journal, March 1987


Magnetic skyrmions: advances in physics and potential applications
journal, June 2017


Topological Hall Effect in the A Phase of MnSi
journal, May 2009


Properties of thick‐walled cylindrical magnetic domains in uniaxial platelets
journal, April 1973


Unusual Hall Effect Anomaly in MnSi under Pressure
journal, May 2009


A nontrivial crossover in topological Hall effect regimes
journal, December 2017


Spin-diffusion lengths in metals and alloys, and spin-flipping at metal/metal interfaces: an experimentalist’s critical review
journal, April 2007


Topological properties and dynamics of magnetic skyrmions
journal, December 2013


Robust Formation of Skyrmions and Topological Hall Effect Anomaly in Epitaxial Thin Films of MnSi
journal, March 2013


Generalization of the Landau-Lifshitz-Gilbert Equation for Conducting Ferromagnets
journal, February 2009


Generalization of Faraday’s Law to Include Nonconservative Spin Forces
journal, June 2007


Blowing magnetic skyrmion bubbles
journal, June 2015


Interplay Between Magnetization Dynamics and Spin Transport
journal, June 2010


Real-space observation of a two-dimensional skyrmion crystal
journal, June 2010


Spin and charge transport induced by magnetization dynamics in diffusive ferromagnetic metals
journal, November 2010


Electron transport driven by nonequilibrium magnetic textures
journal, April 2008


Universal Electromotive Force Induced by Domain Wall Motion
journal, February 2009


Effect of spin diffusion on current generated by spin motive force
journal, August 2011


Nanoscale Skyrmions in a Nonchiral Metallic Multiferroic: Ni 2 MnGa
journal, June 2016


Tailoring magnetic skyrmions by geometric confinement of magnetic structures
journal, December 2017

  • Zhang, Steven S. -L.; Phatak, C.; Petford-Long, A. K.
  • Applied Physics Letters, Vol. 111, Issue 24
  • DOI: 10.1063/1.5005904

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