Skyrmion glass in a 2D Heisenberg ferromagnet with quenched disorder - TIB AV-Portal

Skyrmion glass in a 2D Heisenberg ferromagnet with quenched disorder

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Institute of Physics (IOP)

Deutsche Physikalische Gesellschaft (DPG)

Chudnovsky, E. M. Garanin, D. A.

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Skyrmion glass in a 2D Heisenberg ferromagnet with quenched disorder

Title of Series

New Journal of Physics, Volume 20, 2018

Number of Parts

31

Author

Chudnovsky, E. M.

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CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

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10.5446/38877 (DOI)

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Institute of Physics (IOP)

Deutsche Physikalische Gesellschaft (DPG)

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Abstract

A 2D Heisenberg ferromagnet with exchange J and random magnetic anisotropy of strength has been studied. Analytical theory for the dependence of the average size of a pinned skyrmion on the magnetic field H, and for stability of such skyrmions on a lattice, has been developed. It has been complemented by numerical studies of 2D lattices containing up to 40 million spins. At low fields the average size of the skyrmion, λ, is determined by the average size of Imry–Ma domains. On increasing the field the skyrmions first shrink, with , and then collapse at fields distributed around . The concentration of the skyrmions goes down with the field as .

New Journal of Physics, Volume 20, 20183 / 31

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Transcript: English(auto-generated)

00:03

I'm Eugene Chudnovsky, one of the co-authors. We studied in this work, skyrmions in amorphous films, and our main result is that skyrmions can be stabilized in thin amorphous films, very much the same manner

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how they can be stabilized by Diels-Zwirnsky-Mourey interaction. This is illustrated at the graph here on the blackboard, which shows the dependence of the energy of the skyrmion on skyrmion size lambda. At small sizes, the main contribution to the energy comes from the atomic lattice.

00:41

It contributes the term minus one divided by lambda squared and this makes small skyrmions to collapse in the atomic lattice. On the other hand, the magnetic field contributes the term to the energy which is proportional to the square of the size of the skyrmion just because the magnetic moment of the skyrmion

01:03

is proportional to its area. Diels-Zwirnsky-Mourey interaction stabilizes skyrmions by introducing a term which is proportional to the size of the skyrmion with minus sign, and this creates the minimum of the energy

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on the size of the skyrmion. We found out that the random anisotropy in an amorphous film introduces more or less the same effect as Diels-Zwirnsky-Mourey interaction, exactly the same term which is proportional to the size of the skyrmion with minus sign

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and it also creates the minimum of the energy on the size of the skyrmion. We derived all that using analytical theory first and then we used numerical studies on lattices up to 100 million spins and we found that our numerical results

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agree very good with analytical results agree quantitatively and that's why we know that all these results have good confidence and we encourage experimentalists to work on skyrmions in amorphous films and test all predictions of our theory.

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Thank you.