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

Cortés-Ortuño, David and Beg, Marijan and Nehruji, Vanessa and Breth, Leoni and Pepper, Ryan and Kluyver, Thomas and Downing, Gary and Hesjedal, Thorsten and Hatton, Peter and Lancaster, Tom and Hertel, Riccardo and Hovorka, Ondrej and Fangohr, Hans (2018) 'Proposal for a micromagnetic standard problem for materials with Dzyaloshinskii–Moriya interaction.', New journal of physics., 20 (11). p. 113015.


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.

Item Type:Article
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Publisher statement:Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Date accepted:22 October 2018
Date deposited:20 November 2018
Date of first online publication:13 November 2018
Date first made open access:20 November 2018

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