nach oben

Physics of Metals and Metallography

Erschienen in:

01.03.2021 | ELECTRICAL AND MAGNETIC PROPERTIES

Numerical Simulation of the Influence of Inhomogeneities on the Properties of Magnetization Nanostructures

verfasst von: L. G. Korzunin, I. M. Izmozherov

Erschienen in: Physics of Metals and Metallography | Ausgabe 3/2021

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

This work provides a review of the existing micromagnetic models of the interaction of magnetization structures with inhomogeneities with different magnetic properties and geometries. Most attention is paid to models of the interaction of domain walls with defects in thin magnetic films. This work also gives a brief overview of studies of magnetic structures associated with inhomogeneities of systems that are currently being intensively studied, such as antidot arrays in permalloy, cobalt, and composite films, skyrmions and skyrmion lattices, and materials with a granular and porous structure.

Nächster Artikel The Effect of the Spin-Polarized Current on the Dynamics and Structural Changes of Magnetic Vortices in a Large-Diameter Three-Layer Conducting Nanocylinder

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

A. Hubert and R. Shäfer, Magnetic Domains: The Analysis of Magnetic Microstructures, Encyclopedia of Condensed Matter Physics, 3rd ed. (Springer, New York, 1998), p. 686.

J. Zang and A. Hoffmann, Topology in Magnetism, Ed. by J. Zang, V. Cros, and A. Hoffmann (Springer, Berlin, 2018), p. 416.CrossRef

H. Barkhausen, “Zwei mit Hilfe der neuen Verstarker entdeckte Erscheinunften,” Phys. Z. 20, No. 17, 401–403 (1919).

L. D. Landau and E. M. Lifshits, On the Theory of Dispersion of the Magnetic Permeability of Ferromagnetic Bodies, L.D. Landau Collected Works, Ed. by E.M. Lifshits (Nauka, Moscow, 1969), pp. 128–143 [in Russian].

A. A.Thiele, “Steady-state motion of magnetic domains,” Phys. Rev. Lett. 30, No. 6, 230–233 (1973).CrossRef

W. Brown, Micromagnetics (Wiley, New York, 1963), p. 143.

L. Néel, Influence of Voids and Inclusions on the Coercive Force, Physics of Ferromagnetic Areas, Ed. by S. V. Vonsovskii (Izdatel’stvo Inostrannoi Literatury, Moscow, 1951), pp. 215–239 [in Russian].

J. B. Goodenough, “A theory of domain creation and coercive force in polycrystalline ferromagnetics,” Phys. Rev. 95, No. 4, 917–932 (1954).CrossRef

A. Aharoni, E. H. Frei, and S. Shtrikman, “Theoretical approach to the asymmetrical magnetization curve,” J. Appl. Phys. 30, No. 12, 1956–1961 (1959).CrossRef

10.

W. H. Meiklejohn and C. P. Bean, “New magnetic anisotropy,” Phys. Rev. 105, No. 3, 904–913 (1957).CrossRef

11.

H. Kronmuller, “Micromagnetism in amorphous alloys,” IEEE Trans. Magn. 15, No. 5, 1218–1225 (1979).CrossRef

12.

D. I. Paul, “General theory of the coercive force due to domain wall pinning,” J. Appl. Phys. 53, No. 3, 1649–1654 (1982).CrossRef

13.

D. I. Paul, “Soliton theory and the dynamics of a ferromagnetic domain wall,” J. Phys. C: Solid State Phys. 12, 585–593 (1979).CrossRef

14.

A. Vansteenkiste, J. Leliaert, M. Dvornik, M. Helsen, F. Garcia-Sanchez, and B. Van Waeyenberge, “The design and verification of MuMax3,” AIP Adv. 4, No. 10, 107133 (2014).CrossRef

15.

OOMMF Project at NIST. https:// math.nist.gov/oommf. Cited August 15, 2020.

16.

B. N. Filippov and M. N. Dubovik, “Influence of three-dimensional inhomogeneities of the magnetic parameters on the dynamics of vortex-like domain walls,” Phys. Solid State 56, No. 5, 967–974 (2014).CrossRef

17.

E. G. Ekomasov, R. R. Murtazin, and V. N. Nazarov, “One-dimensional dynamics of domain walls in a three-layer ferromagnetic structure with different parameters of magnetic anisotropy and exchange,” Fiz. Met. Metalloved. 115, No. 2, 125–131 (2013).

18.

N. I. Noskova, V. V. Shulika, and A. P. Potapov, “On the nature of the hysteresis loop shift in amorphous soft magnetic alloys,” Mater. Trans. 42, No. 8, 1540–1542 (2001).CrossRef

19.

M. N. Dubovik, B. N. Filippov, and L. G. Korzunin, “Asymmetric pinning of vortex domain boundaries in thin films with in-plane anisotropy and inhomogeneity of saturation magnetization,” Fundamental’nye Problemy Sovremennogo Materialovedeniya 12, No. 4, 408–414 (2015).

20.

M. N. Dubovik, L. G. Korzunin, and B. N. Filippov, “Asymmetrical pinning of vortex domain walls in ferromagnetic films in areas with increased saturation magnetization,” Phys. Met. Metallogr. 116, No. 7, 656–662 (2015).CrossRef

21.

M. N. Dubovik, B. N. Filippov, and L. G. Korzunin, “Asymmetric pinning of vortex domain walls in magnetic films in regions with lowered saturation magnetization,” Phys. Met. Metallogr. 117, No. 4, 329–335 (2016).CrossRef

22.

W. Zhu, J. Liao, Z. Zhang, B. Ma, Q. Y. Jin, Y. Liu, Z. Huang, X. Hu, A. Ding, J. Wu, and Y. Xu, “Depinning of vortex domain walls from an asymmetric notch in a permalloy nanowire,” Appl. Phys. Lett. 101, No. 8 (2012).

23.

S. Moretti, M. Voto, and E. Martinez, “Dynamical depinning of chiral domain walls,” Phys. Rev. B 96, No. 5, 1–10 (2017).CrossRef

24.

R. L. Novak, P. J. Metaxas, J. P. Jamet, R. Weil, J. Ferré, A. Mougin, S. Rohart, R. L. Stamps, P. J. Zermatten, G. Gaudin, V. Baltz, and B. Rodmacq, “Highly asymmetric magnetic domain wall propagation due to coupling to a periodic pinning potential,” J. Phys. D: Appl. Phys. 48, No. 23, 1–12 (2015).CrossRef

25.

M. N. Dubovik and B. N. Filippov, “Influence of asymmetric pinning of vortex domain boundaries on the magnetization curve of films with plane anisotropy,” Fiz. Met. Metalloved. 118, No. 5, 464–468 (2017).

26.

I. M. Izmozherov, E. Zh. Baikenov, M. N. Dubovik, and B. N. Filippov, “The influence of loop geometry on the asymmetric pinning of domain walls in films with uniaxial anisotropy,” Phys. Met. Metallogr. 119, No. 8, 713–719 (2018).CrossRef

27.

V. V. Zverev and B. N. Filippov, “Modeling of three-dimensional micromagnetic structures in magnetic-uniaxial films with in-plane anisotropy. Static structures,” Fiz. Met. Metalloved. 114, No. 2, 120–128 (2013).

28.

V. V. Zverev and B. N. Filippov, “Modeling of three-dimensional micromagnetic structures in magnetic-uniaxial films with in-plane anisotropy. Dynamics and structural rearrangements,” Phys. Met. Metallogr. 114, No. 2, 129–135 (2013).

29.

C. C. Wang, A. O. Adeyeye, and N. Singh, “Magnetic antidot nanostructures: Effect of lattice geometry,” Nanotechnology 17, No. 6, 1629–1636 (2006).CrossRef

30.

N. G. Deshpande, M. S. Seo, X. R. Jin, S. J. Lee, Y. P. Lee, J. Y. Rhee, and K. W. Kim, “Tailoring of magnetic properties of patterned cobalt antidots by simple manipulation of lattice symmetry,” Appl. Phys. Lett. 96, No. 12, 17–20 (2010).CrossRef

31.

C. C. Ho, T. W. Hsieh, H. H. Kung, W. T. Juan, K. H. Lin, and W. L. Lee, “Reduced saturation magnetization in cobalt antidot thin films prepared by polyethylene oxide-assisted self-assembly of polystyrene nanospheres,” Appl. Phys. Lett. 96, No. 12, 1–3 (2010).CrossRef

32.

F. Fettar, L. Cagnon, and N. Rougemaille, “Three-dimensional magnetization profile and multiaxes exchange bias in Co antidot arrays,” Appl. Phys. Lett. 97, No. 19, 1–3 (2010).CrossRef

33.

C. T. Yu, H. Jiang, L. Shen, P. J. Flanders, and G. J. Mankey, “The magnetic anisotropy and domain structure of permalloy antidot arrays,” J. Appl. Phys. 87, No. 9, 6322–6324 (2000).CrossRef

34.

C. Yu, M. J. Pechan, and G. J. Mankey, “Dipolar induced, spatially localized resonance in magnetic antidot arrays,” Appl. Phys. Lett. 83, No. 19, 3948–3950 (2003).CrossRef

35.

D. Tripathy, P. Vavassori, J. M. Porro, A. O. Adeyeye, and N. Singh, “Magnetization reversal and anisotropic magnetoresistance behavior in bicomponent antidot nanostructures,” Appl. Phys. Lett. 97, No. 4, 95–98 (2010).CrossRef

36.

S. Tacchi, B. Botters, M. Madami, J. W. Klos, M. L. Sokolovskyy, M. Krawczyk, G. Gubbiotti, G. Carlotti, A. O. Adeyeye, S. Neusser, and D. Grundler, “Mode conversion from quantized to propagating spin waves in a rhombic antidot lattice supporting spin wave nanochannels,” Phys. Rev. B 86, No. 1, 1–12 (2012).CrossRef

37.

J. Ding, D. Tripathy, and A. O. Adeyeye, “Effect of antidot diameter on the dynamic response of nanoscale antidot arrays,” J. Appl. Phys. 109, No. 7, 1–4 (2011).CrossRef

38.

A. Toporov, R. M. Langford, and A. K. Petford-Long, “Lorentz transmission electron microscopy of focused ion beam patterned magnetic antidot arrays,” Appl. Phys. Lett. 77, No. 19, 3063–3065 (2000).CrossRef

39.

L. Torres, L. Lopez-Diaz, and J. Iñiguez, “Micromagnetic tailoring of periodic antidot permalloy arrays for high density storage,” Appl. Phys. Lett. 73, No. 25, 3766–3768 (1998).CrossRef

40.

R. P. Cowburn, A. O. Adeyeye, and J. A. C. Bland, “Magnetic domain formation in lithographically defined antidot Permalloy arrays,” Appl. Phys. Lett. 70, No. 17, 2309–2311 (1997).CrossRef

41.

Z. L. Xiao, C. Y. Han, U. Welp, H. H. Wang, V. K. Vlasko-Vlasov, W. K. Kwok, D. J. Miller, J. M. Hiller, R. E. Cook, G. A. Willing, and G. W. Crabtree, “Nickel antidot arrays on anodic alumina substrates,” Appl. Phys. Lett. 81, No. 15, 2869–2871 (2002).CrossRef

42.

D. Navas, M. Hernández-V́lez, M. Vázquez, W. Lee, and K. Nielsch, “Ordered Ni nanohole arrays with engineered geometrical aspects and magnetic anisotropy,” Appl. Phys. Lett. 90, No. 19, 1–4 (2007).CrossRef

43.

R. Mandal, S. Saha, D. Kumar, S. Barman, S. Pal, K. Das, A. K. Raychaudhuri, Y. Fukuma, Y. Otani, and A. Barman, “Optically induced tunable magnetization dynamics in nanoscale Co antidot lattices,” ACS Nano 6, No. 4, 3397–3403 (2012).CrossRef

44.

C. Castán-Guerrero, J. Herrero-Albillos, J. Bartolomé, F. Bartolomé, L. A. Rodríguez, C. Magén, F. Kronast, P. Gawronski, O. Chubykalo-Fesenko, K. J. Merazzo, P. Vavassori, P. Strichovanec, J. Sesé, and L. M. García, “Magnetic antidot to dot crossover in Co and Py nanopatterned thin films,” Phys. Rev. B 89, No. 14, 1–10 (2014).CrossRef

45.

S. Michea, J. L. Palma, R. Lavin, J. Briones, J. Escrig, J. C. Denardin, and R. L. Rodríguez-Suárez, “Tailoring the magnetic properties of cobalt antidot arrays by varying the pore size and degree of disorder,” J. Phys. D: Appl. Phys. 47, No. 33, 1–8 (2014).CrossRef

46.

A. Barman, “Control of magnonic spectra in cobalt nanohole arrays: The effects of density, symmetry and defects,” J. Phys. D: Appl. Phys. 43, No. 19, 1–7 (2010).CrossRef

47.

C. C. Wang, A. O. Adeyeye, and N. Singh, “Magnetic and transport properties of multilayer nanoscale antidot arrays,” Appl. Phys. Lett. 88, No. 22, 1–4 (2006).

48.

F. J. Castaño, K. Nielsch, C. A. Ross, J. W. A. Robinson, and R. Krishnan, “Anisotropy and magnetotransport in ordered magnetic antidot arrays,” Appl. Phys. Lett. 85, No. 14, 2872–2874 (2004).CrossRef

49.

A. O. Adeyeye, M. T. Win, T. A. Tan, G. S. Chong, V. Ng, and T. S. Low, “Planar Hall effect and magnetoresistance in Co/Cu multilayer films,” Sens. Actuators, A 116, No. 1, 95–102 (2004).CrossRef

50.

X. K. Hu, S. Sievers, A. Muller, V. Janke, and H. W. Schumacher, “Classification of super domains and super domain walls in permalloy antidot lattices,” Phys. Rev. B 84, No. 2, 2–7 (2011).CrossRef

51.

X. K. Hu, S. Sievers, A. Muller, and H. W. Schumacher, “The influence of individual lattice defects on the domain structure in magnetic antidot lattices,” J. Appl. Phys. 113, No. 10, 1–6 (2013).CrossRef

52.

S. Mallick, S. S. Mishra, and S. Bedanta, “Relaxation dynamics in magnetic antidot lattice arrays of Co/Pt with perpendicular anisotropy,” Sci. Rep. 8, No. 1, 1–8 (2018).CrossRef

53.

L. J. Heyderman, F. Nolting, D. Backes, S. Czekaj, L. Lopez-Diaz, M. Klaui, U. Rudiger, C. A. F. Vaz, J. A. C. Bland, R. J. Matelon, U. G. Volkmann, and P. Fischer, “Magnetization reversal in cobalt antidot arrays,” Phys. Rev. B 73, No. 21, 1–12 (2006).CrossRef

54.

N. Tahir, M. Zelent, R. Gieniusz, M. Krawczyk, A. Maziewski, T. Wojciechowski, J. Ding, and A. O. Adeyeye, “Magnetization reversal mechanism in patterned (square to wave-like) Py antidot lattices, J. Phys. D: Appl. Phys.” 50, No. 2, 025004 (2017).CrossRef

55.

Y. Liu and A. Du, “Arrangement effects of triangular defects on magnetization reversal process in a permalloy dot,” J. Met., Mater. Miner. 323, 461–464 (2011).

56.

Y. H. Liu and Y. Q. Li, “A mechanism to pin skyrmions in chiral magnets,” J. Phys.: Condens. Matter. 25, No. 7, 1–8 (2013).

57.

U. K. Rößler, A. N. Bogdanov, and C. Pfleiderer, “Spontaneous skyrmion ground states in magnetic metals,” Nature 442, No. 7104, 797–801 (2006).CrossRef

58.

S. Mühlbauer, B. Binz, F. Jonietz, C. Pfleiderer, A. Rosch, A. Neubauer, R. Georgii, and P. Böni, “Skyrmion lattice in a chiral magnet,” Science 323, No. 5916, 915–919 (2009).CrossRef

59.

A. Fert, V. Cros, and J. Sampaio, “Skyrmions on the track,” Nat. Nanotechnol. 8, No. 3, 152–156 (2013).CrossRef

60.

X. Zhang, M. Ezawa, and Y. Zhou, “Magnetic skyrmion logic gates: Conversion, duplication and merging of skyrmions,” Sci. Rep. 5, 1–8 (2015).

61.

M. Sapozhnikov, “Skyrmion lattice in a magnetic film with spatially modulated material parameters,” J. Met., Mater. Miner. 396, 338–344 (2015).

62.

R. M. Vakhitov, A. A. Akhmetova, and R. V. Solonetskii, “Vortex-like structures at the defects of uniaxial films,” Phys. Solid State 61, No. 3, 319–325 (2019).CrossRef

63.

C. Song, C. Jin, H. Xia, Y. Ma, J. Wang, J. Wang, and Q. Liu, “Interaction between defect and skyrmion in nanodisk,” http://arxiv.org/abs/2005.03385.

64.

J. Iwasaki, M. Mochizuki, and N. Nagaosa, “Universal current-velocity relation of skyrmion motion in chiral magnets,” Nat. Commun. 4, 1–8 (2013).CrossRef

65.

C. Deger, I. Yavuz, and F. Yildiz, “Current-driven coherent skyrmion generation,” Sci. Rep. 9, No. 1, 1–8 (2019).CrossRef

66.

A. Michels, S. Erokhin, D. Berkov, and N. Gorn, “Micromagnetic simulation of magnetic small-angle neutron scattering from two-phase nanocomposites,” J. Met., Mater. Miner. 350, 55–68 (2014).

67.

S. Erokhin and D. Berkov, “Optimization of nanocomposite materials for permanent magnets: micromagnetic simulations of the effects of intergrain exchange and the shapes of hard grains,” Phys. Rev. Appl. 7, No. 1, 1–15 (2017).CrossRef

68.

P. N. Solovev, A. V. Izotov, and B. A. Belyaev, “Micromagnetic simulation of magnetization reversal processes in thin obliquely deposited films,” J. Sib. Fed. Univ., Math. Phys. 9, No. 4, 524–527 (2016).

69.

M. Menarini, M. V. Lubarda, R. Chang, S. Li, S. Fu, B. Livshitz, and V. Lomakin, “Micromagnetic simulator for complex granular systems based on Voronoi tessellation,” J. Met., Mater. Miner. 482, 350–357 (2019).

70.

N. A. Balakirev and V. A. Zhikharev, “Computer simulation of growth and magnetic properties of quasi 2D magnetic cluster,” Magn. Reson. Solids 17, No. 2, 1–6 (2015).

Titel: Numerical Simulation of the Influence of Inhomogeneities on the Properties of Magnetization Nanostructures
verfasst von: L. G. Korzunin
I. M. Izmozherov
Publikationsdatum: 01.03.2021
Verlag: Pleiades Publishing
Erschienen in: Physics of Metals and Metallography / Ausgabe 3/2021
Print ISSN: 0031-918X
Elektronische ISSN: 1555-6190
DOI: https://doi.org/10.1134/S0031918X21030091

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 3/2021

Transformations of the Domain-Wall Fine Structure in the Course of Magnetization Change Processes in Co(0001) Film

Studying the Laser Welding of Porous Metals with the Application of Compact Inserts and Nanopowders

Synthesis and Properties of the Composite Material Based on a (V,Cr)AlC Solid Solution

Synthesis of Nanopowders of the Fe–Cu System by the Gas Condensation Method and Their Structure and Magnetic Properties

Mechanism of the Oxidation of Phases in Heat-Resistant Alloys of the Fe–25Cr–35Ni System

Magnetic and Structural Properties of R2(Fe,M)17 Alloys with R = Pr, Tm and M = Cr, V, Ti, Nb, Zr