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A Micromagnetic Study of Skyrmions i...

Dubicki, Nicholas J.,

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A Micromagnetic Study of Skyrmions in Thin-Film Multilayered Ferromagnetic Materials /

Record Type:	Electronic resources : Monograph/item
Title/Author:	A Micromagnetic Study of Skyrmions in Thin-Film Multilayered Ferromagnetic Materials // Nicholas J Dubicki.
Author:	Dubicki, Nicholas J.,
Description:	1 electronic resource (127 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 86-04, Section: B.
Contained By:	Dissertations Abstracts International86-04B.
Subject:	Mathematics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30993613
ISBN:	9798384492306

A Micromagnetic Study of Skyrmions in Thin-Film Multilayered Ferromagnetic Materials /
Dubicki, Nicholas J.,

A Micromagnetic Study of Skyrmions in Thin-Film Multilayered Ferromagnetic Materials /Nicholas J Dubicki. - 1 electronic resource (127 pages)

Source: Dissertations Abstracts International, Volume: 86-04, Section: B.

Magnetic skyrmions are topologically protected, localized, nanoscale spin textures in non-centrosymmetric thin ferromagnetic materials and heterostructures. At present they are of great interest to physicists for potential applications in information technology due to their particle-like properties and stability. In a system of multiple thin ferromagnetic layers, the stray field interaction was typically treated with various simplifications and approximations. It is shown that extensive analysis of the micromagnetic equations leads to an exact representation of the stray field interaction energy in the form of layer interaction kernels, a so-called 'finite thickness' representation. This formulation reveals the competition between perpendicular magnetic anisotropy (PMA) and stray field in the stabilization of skyrmions, and gives new existence and collapse criteria. This is demonstrated in detail in the case of a monolayer of finite thickness and compared to past results which cannot reveal the collapse criteria. The layer interaction kernels are then treated asymptotically for thin films to obtain the nonlocal stray field interaction energies of multilayers. It is thereby shown that a system of PMA multilayers interacting with each other only through the stray field can support bound columns of concentric skyrmions in each layer, enabled by the stray field interaction alone. The multilayer skyrmions are shown to be larger than those of a monolayer, and exhibit a full range of Bloch-Neel hybrid combinations depending on certain constraints given by the interlayer volume charge energy. Further solutions are given for Dzyaloshinskii-Moriya interaction enabled skyrmions in a system of multilayers interacting with each other through both ferromagnetic and antiferromagnetic exchange.

English

ISBN: 9798384492306Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Magnetic materials

A Micromagnetic Study of Skyrmions in Thin-Film Multilayered Ferromagnetic Materials /
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245 1 2 $a A Micromagnetic Study of Skyrmions in Thin-Film Multilayered Ferromagnetic Materials / $c Nicholas J Dubicki.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2024
300 $a 1 electronic resource (127 pages)
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500 $a Source: Dissertations Abstracts International, Volume: 86-04, Section: B.
500 $a Advisors: Muratov, Cyrill; Siegel, Michael Committee members: Bernand-Mantel, Anne; Shirokoff, David; Oza, Anand; Slastikov, Valeriy.
502 $b Ph.D. $c New Jersey Institute of Technology $d 2024.
520 $a Magnetic skyrmions are topologically protected, localized, nanoscale spin textures in non-centrosymmetric thin ferromagnetic materials and heterostructures. At present they are of great interest to physicists for potential applications in information technology due to their particle-like properties and stability. In a system of multiple thin ferromagnetic layers, the stray field interaction was typically treated with various simplifications and approximations. It is shown that extensive analysis of the micromagnetic equations leads to an exact representation of the stray field interaction energy in the form of layer interaction kernels, a so-called 'finite thickness' representation. This formulation reveals the competition between perpendicular magnetic anisotropy (PMA) and stray field in the stabilization of skyrmions, and gives new existence and collapse criteria. This is demonstrated in detail in the case of a monolayer of finite thickness and compared to past results which cannot reveal the collapse criteria. The layer interaction kernels are then treated asymptotically for thin films to obtain the nonlocal stray field interaction energies of multilayers. It is thereby shown that a system of PMA multilayers interacting with each other only through the stray field can support bound columns of concentric skyrmions in each layer, enabled by the stray field interaction alone. The multilayer skyrmions are shown to be larger than those of a monolayer, and exhibit a full range of Bloch-Neel hybrid combinations depending on certain constraints given by the interlayer volume charge energy. Further solutions are given for Dzyaloshinskii-Moriya interaction enabled skyrmions in a system of multilayers interacting with each other through both ferromagnetic and antiferromagnetic exchange.
546 $a English
590 $a School code: 0152
650 4 $a Mathematics. $3 515831
650 4 $a Applied mathematics. $3 2122814
650 4 $a Physics. $3 516296
650 4 $a Materials science. $3 543314
650 4 $a Electromagnetics. $3 3173223
653 $a Magnetic materials
653 $a Mathematical physics
653 $a Nanoelectronics
653 $a Optimization
653 $a Skyrmions
653 $a Perpendicular magnetic anisotropy
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690 $a 0364
690 $a 0605
690 $a 0794
690 $a 0607
710 2 $a New Jersey Institute of Technology. $b Department of Mathematical Sciences. $e degree granting institution. $3 3820903
720 1 $a Muratov, Cyrill $e degree supervisor.
720 1 $a Siegel, Michael $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 86-04B.
790 $a 0152
791 $a Ph.D.
792 $a 2024
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30993613