Stochastic formation of magnetic vortex structures in asymmetric disks triggered by chaotic dynamics

Nature Communications

Volumn 5, Issue , 2014, Pages

  Im, Mi Young ^a,b   Lee, Ki Suk ^c   Vogel, Andreas ^d   Hong, Jung Il ^b   Meier, Guido ^d,e   Fischer, Peter ^a,f  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b Daegu Gyeongbuk Institute of Science and Technology   (South Korea)

^c Ulsan National Institute of Science and Technology   (South Korea)

^d UNIVERSITY OF HAMBURG   (Germany)

^e MAX PLANCK INSTITUTE FOR THE STRUCTURE AND DYNAMICS OF MATTER   (Germany)

^f UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC DYNAMICS; MAGNETIC FIELD; STEADY-STATE EQUILIBRIUM; STOCHASTICITY; TIMESCALE; VORTICITY;

ARTICLE; CHAOTIC DYNAMICS; FILM; INFORMATION TECHNOLOGY; MAGNETIC FIELD; MAGNETISM; ROOM TEMPERATURE; SIMULATION; STEADY STATE; STOCHASTIC MODEL; THERMOSTABILITY; VORTEX MOTION;

EID: 84922879199     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms6620     Document Type: Article

References (44)

1. Barkhausen, H. Zwei mit Hilfe der Neuen Verstärker entdeckte Erscheinungen. Z. Phys 20, 401-403 (1919).
2. Field, S., Witt, J., Nori, F. &Ling, X. Superconducting vortex avalanches. Phys. Rev. Lett. 74, 1206-1209 (1995).
3. Sethna, J., Dahmen, K. A. &Myers, C. R. Crackling noise. Nature 410, 242-244 (2001).
4. Mitchell, T. B., Bollinger, J. J., Itano, W. M. &Dubin, D. H. E. Stick-slip dynamics of a stressed ion crystal. Phys. Rev. Lett. 87, 183001 (2001).
5. Im, M.-Y. et al. Scaling behavior of the first arrival time of a random-walking magnetic domain. Phys. Rev. Lett. 100, 167204 (2009).
6. Durin, G. &Zapperi, S. Scaling exponents for Barkhausen avalanches in polycrystalline and amorphous ferromagnets. Phys. Rev. Lett. 84, 4075-4078 (2000).
7. Im, M.-Y. et al. Direct observation of stochastic domain-wall depinning in magnetic nanowires. Phys. Rev. Lett. 102, 147204 (2009).
8. Shpyrko, O. G. Direct measurement of antiferromagnetic domain fluctuations. Nature 447, 68-71 (2007).
9. Im, M.-Y. et al. Direct real-space observation of stochastic behavior in domain nucleation process on a nanoscale. Adv. Mater. 20, 1750-1754 (2008).
10. Miron, I. M. et al. Fast current-induced domain-wall motion controlled by the Rashba effect. Nat. Mater 10, 419-423 (2011).
11. Mihai, A. P. et al. Stochastic domain-wall depinning under current in FePt spin valves and single layer. Phys. Rev. B 84, 014411 (2011).
12. Shinjo, T., Okuno, T., Hassdorf, R., Shigeto, K. &Ono, T. Magnetic vortex core observation in circular dots of permalloy. Science 289, 930-932 (2000).
13. Wachowiak, A. et al. Direct observation of internal spin structure of magnetic vortex cores. Science 298, 577-579 (2002).
14. Fischer, P. et al. X-ray imaging of magnetic vortices in confined magnetic structures. Phys. Rev. B 83, 212402 (2011).
15. Uhl?r, V. et al. Dynamic switching of the spin circulation in tapered magnetic nanodisks. Nat. Nanotech. 8, 341-346 (2013).
16. Van Waeyenberge, B. et al. Magnetic vortex core reversal by excitation with short bursts of an alternating field. Nature 444, 461-464 (2006).
17. Lee, K.-S. et al. Universal criterion and phase diagram for switching a magnetic vortex core in soft magnetic nanodots. Phys. Rev. Lett. 101, 267206 (2008).
18. Im, M.-Y. et al. Symmetry breaking in the formation of magnetic vortex states in a permalloy nanodisk. Nat. Commun 3, 1978 (2012).
19. Mermin, N. D. Topological theory of defects in ordered media. Rev. Mod. Phys. 51, 591-648 (1979).
20. Tretiakov, O. A. &Tchernyshyov, O. Vortices in thin ferromagnetic films and the skyrimion number. Phys. Rev. B 75, 012408 (2007).
21. Hertel, R. &Schneider, C. M. Exchange explosions: magnetization dynamics during vortex-antivortex annihilation. Phys. Rev. Lett. 97, 177202 (2006).
22. Sun, L. Cao et al. H. F. Creating an artificial two-dimensional skyrmion crystal by nanopatterning. Phys. Rev. Lett. 110, 167201 (2013).
23. Skyrme, T. H. A non-linear field theory. Proc. R. Soc. Lond. A 260, 127-138 (1961).
24. Yu, X. Z. et al. Real space observation of a two-dimensional skyrmion crystal. Nature 465, 901-904 (2010).
25. Romming, N. et al. Writing and deleting single magnetic Skyrmions. Science 341, 636-639 (2013).
26. Fert, A., Cros, V. &Sampaio, J. Skyrmions on the track. Nature Nanotechnology 8, 152-156 (2013).
27. Nagaosa, N. &Tokura, Y. Topological properties and dynamics of magnetic skyrmions. Nat. Nanotechnol. 8, 899-911 (2013).
28. Milde, P. et al. Unwinding of a skyrmion lattice by magnetic monopoles. Science 340, 1076-1080 (2013).
29. Sampaio, J., Cros, V., Rohart, S., Thiaville, A. &Fert, A. Nucleation, stability and current-induced motion of isolated magnetic skyrmions in nanostructures. Nat. Nanotechnol. 8, 839-844 (2013).
30. Schneider, M., Hoffmann, H. &Zweck, J. Magnetic switching of single vortex permalloy elements. App. Phys. Lett. 79, 3113-3115 (2001).
31. Dumas, R. K. et al. Angular dependence of vortex-annihilation fields in asymmetric cobalt dots. Phys. Rev. B 80, 014416 (2009).
32. Kimura, T. et al. Vortex motion in chilarity-controlled pair of magnetic disks. App. Phys. Lett. 90, 132501 (2007).
33. Dumas, R. K., Gilbert, D. A., Eibagi, N. &Liu, K. Chirality control via double vortices in asymmetric Co dots. Phys. Rev. B 83, 060415(R) (2011).
34. Fischer, P. et al. Soft X-ray microscopy of nanomagnetism. Mater. Today 9, 26-33 (2006).
35. Brown, W. F. Thermal fluctuations of a single-domain particle. Phys. Rev. 130, 1677-1686 (1963).
36. Wang, X. &Bertram, H. N. Anomalously large damping in magnetization reversal. J. Appl. Phys. 93, 7396-7398 (2003).
37. Landau, L. D. &Lifshitz, E. M. Theory of the dispersion of magnetic permeability in ferromagnetic bodies. Phys. Z. Sowjetunion 8, 153 (1935).
38. Gilbert, T. L. A Lagrangian formulation of the gyromagnetic equeation of the magnetic field. Phys. Rev 100, 1243 (1955).
39. Lee, K.-S., Yoo, M.-W., Choi, Y.-S. &Kim, S.-K. Edge-soliton-mediated vortexcore reversal dynamics. Phys. Rev. Lett. 106, 147201 (2011).
40. Tchernyshyov, O. &Chern, G. W. Fractional vortices and composite domain walls in flat nanomagnets. Phys. Rev. Lett. 95, 197204 (2005).
41. Marion, J. B. &Thornton, S. T. Classical dynamics, chapter 4 (Harcourt College Publishers, Fort Worth, 1995).
42. Vogel, A., Drews, A., Kamionka, T., Bolte, M. &Meier, G. Influence of dipolar interaction on vortex dynamics in arrays of ferromagnetic disks. Phys. Rev. Lett. 105, 037201 (2010).
43. Adolff, C. F. et al. Self-organized state formation in magnonic vortex crystals. Phys. Rev. B 88, 224425 (2013).
44. Chao, W., Kim, J., Rekawa, S., Fischer, P. &Anderson, E. H. Demonstration of 12 nm resolution Fresnel zone plate lens based on soft X-ray microscopy. Opt. Express 17, 17669-17677 (2009).