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Proposal for a micromagnetic standard problem for materials with Dzyaloshinskii–Moriya interaction

Proposal for a micromagnetic standard problem for materials with Dzyaloshinskii–Moriya interaction
Proposal for a micromagnetic standard problem for materials with Dzyaloshinskii–Moriya interaction
Understanding the role of the Dzyaloshinskii–Moriya interaction (DMI) for the formation of helimagnetic order, as well as the emergence of skyrmions in magnetic systems that lack inversion symmetry, has found increasing interest due to the significant potential for novel spin based technologies. Candidate materials to host skyrmions include those belonging to the B20 group such as FeGe, known for stabilising Bloch-like skyrmions, interfacial systems such as cobalt multilayers or Pd/Fe bilayers on top of Ir(111), known for stabilising Néel-like skyrmions, and, recently, alloys with a crystallographic symmetry where anti-skyrmions are stabilised. Micromagnetic simulations have become a standard approach to aid the design and optimisation of spintronic and magnetic nanodevices and are also applied to the modelling of device applications which make use of skyrmions. Several public domain micromagnetic simulation packages such as OOMMF, MuMax3 and Fidimag already offer implementations of different DMI terms. It is therefore highly desirable to propose a so-called micromagnetic standard problem that would allow one to benchmark and test the different software packages in a similar way as is done for ferromagnetic materials without the DMI. Here, we provide a sequence of well-defined and increasingly complex computational problems for magnetic materials with DMI. Our test problems include 1D, 2D and 3D domains, spin wave dynamics in the presence of DMI, and validation of the analytical and numerical solutions including uniform magnetisation, edge tilting, spin waves and skyrmion formation. This set of problems can be used by developers and users of new micromagnetic simulation codes for testing and validation and hence establishing scientific credibility.
skyrmions, dzyaloshinskii-moriya, micromagnetics, magnetism, Computational modeling
1367-2630
1-15
Cortés-Ortuño, David
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Beg, Marijan
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Nehruji, Vanessa
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Breth, Leoni
ee094728-0724-4a96-b063-7df2b29401be
Pepper, Ryan, Alexander
82ef34fc-7e93-4f98-8f85-ff0e5113ed17
Kluyver, Thomas
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Downing, Gary, Matthew
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Hesjedal, Thorsten
a9d5adba-ba79-489e-a704-772b35659734
Hatton, Peter
eda821df-ba97-4dcf-9ef2-473dd08158a7
Lancaster, Tom
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Hertel, Riccardo
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Hovorka, Ondrej
a12bd550-ad45-4963-aa26-dd81dd1609ee
Fangohr, Hans
9b7cfab9-d5dc-45dc-947c-2eba5c81a160
Cortés-Ortuño, David
97d026d6-1083-4edf-8ba6-2f66a3e15033
Beg, Marijan
5c7cc1ff-f244-471f-b964-9f24e0628153
Nehruji, Vanessa
b396b86c-fe5e-4424-a71f-a1471d7890cb
Breth, Leoni
ee094728-0724-4a96-b063-7df2b29401be
Pepper, Ryan, Alexander
82ef34fc-7e93-4f98-8f85-ff0e5113ed17
Kluyver, Thomas
d3bd4245-1a99-4268-b34f-8f9f0153465e
Downing, Gary, Matthew
afba83d7-51c7-4b68-92cc-43e43c8c0ea2
Hesjedal, Thorsten
a9d5adba-ba79-489e-a704-772b35659734
Hatton, Peter
eda821df-ba97-4dcf-9ef2-473dd08158a7
Lancaster, Tom
46df6832-5e61-421e-9c39-2769c79d4b02
Hertel, Riccardo
a6d72812-4850-44e6-933f-6ad5f97f38bf
Hovorka, Ondrej
a12bd550-ad45-4963-aa26-dd81dd1609ee
Fangohr, Hans
9b7cfab9-d5dc-45dc-947c-2eba5c81a160

Cortés-Ortuño, David, Beg, Marijan, Nehruji, Vanessa, Breth, Leoni, Pepper, Ryan, Alexander, Kluyver, Thomas, Downing, Gary, Matthew, Hesjedal, Thorsten, Hatton, Peter, Lancaster, Tom, Hertel, Riccardo, Hovorka, Ondrej and Fangohr, Hans (2018) Proposal for a micromagnetic standard problem for materials with Dzyaloshinskii–Moriya interaction. New Journal of Physics, 20 (113015), 1-15, [113015]. (doi:10.1088/1367-2630/aaea1c).

Record type: Article

Abstract

Understanding the role of the Dzyaloshinskii–Moriya interaction (DMI) for the formation of helimagnetic order, as well as the emergence of skyrmions in magnetic systems that lack inversion symmetry, has found increasing interest due to the significant potential for novel spin based technologies. Candidate materials to host skyrmions include those belonging to the B20 group such as FeGe, known for stabilising Bloch-like skyrmions, interfacial systems such as cobalt multilayers or Pd/Fe bilayers on top of Ir(111), known for stabilising Néel-like skyrmions, and, recently, alloys with a crystallographic symmetry where anti-skyrmions are stabilised. Micromagnetic simulations have become a standard approach to aid the design and optimisation of spintronic and magnetic nanodevices and are also applied to the modelling of device applications which make use of skyrmions. Several public domain micromagnetic simulation packages such as OOMMF, MuMax3 and Fidimag already offer implementations of different DMI terms. It is therefore highly desirable to propose a so-called micromagnetic standard problem that would allow one to benchmark and test the different software packages in a similar way as is done for ferromagnetic materials without the DMI. Here, we provide a sequence of well-defined and increasingly complex computational problems for magnetic materials with DMI. Our test problems include 1D, 2D and 3D domains, spin wave dynamics in the presence of DMI, and validation of the analytical and numerical solutions including uniform magnetisation, edge tilting, spin waves and skyrmion formation. This set of problems can be used by developers and users of new micromagnetic simulation codes for testing and validation and hence establishing scientific credibility.

Text
Cortes Ortuno 2018 NJP 113015 - Version of Record
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Accepted/In Press date: 22 October 2018
e-pub ahead of print date: 12 November 2018
Keywords: skyrmions, dzyaloshinskii-moriya, micromagnetics, magnetism, Computational modeling

Identifiers

Local EPrints ID: 426339
URI: http://eprints.soton.ac.uk/id/eprint/426339
ISSN: 1367-2630
PURE UUID: a19a2d9c-1982-4881-8eb4-0d77fe667010
ORCID for David Cortés-Ortuño: ORCID iD orcid.org/0000-0003-3799-3141
ORCID for Marijan Beg: ORCID iD orcid.org/0000-0002-6670-3994
ORCID for Thomas Kluyver: ORCID iD orcid.org/0000-0003-4020-6364
ORCID for Ondrej Hovorka: ORCID iD orcid.org/0000-0002-6707-4325
ORCID for Hans Fangohr: ORCID iD orcid.org/0000-0001-5494-7193

Catalogue record

Date deposited: 23 Nov 2018 17:30
Last modified: 22 Nov 2021 03:06

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Contributors

Author: David Cortés-Ortuño ORCID iD
Author: Marijan Beg ORCID iD
Author: Vanessa Nehruji
Author: Leoni Breth
Author: Ryan, Alexander Pepper
Author: Thomas Kluyver ORCID iD
Author: Gary, Matthew Downing
Author: Thorsten Hesjedal
Author: Peter Hatton
Author: Tom Lancaster
Author: Riccardo Hertel
Author: Ondrej Hovorka ORCID iD
Author: Hans Fangohr ORCID iD

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