Field-dependent size and shape of single magnetic Skyrmions

Physical Review Letters

Volumn 114, Issue 17, 2015, Pages

  Romming, Niklas ^a   Kubetzka, André ^a   Hanneken, Christian ^a   Von Bergmann, Kirsten ^a   Wiesendanger, Roland ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

SCANNING TUNNELING MICROSCOPY;

ANALYTICAL EXPRESSIONS; AXIAL SYMMETRY; MATERIAL PARAMETER; OUT-OF PLANE; SIZE AND SHAPE; SPIN STRUCTURES; SPIN-POLARIZED SCANNING TUNNELING MICROSCOPY; THEORETICAL MODELING;

ULTRATHIN FILMS;

EID: 84930225668     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.114.177203     Document Type: Article

References (31)

1. A.N. Bogdanov and D.A. Yablonsky, Zh. Eksp. Teor. Fiz. 95, 178 (1989). ZETFA7 0044-4510
2. A. Bogdanov and A. Hubert, J. Magn. Magn. Mater. 138, 255 (1994). JMMMDC 0304-8853 10.1016/0304-8853(94)90046-9
3. A. Bogdanov and A. Hubert, Phys. Status Solidi B 186, 527 (1994). PSSBBD 0370-1972 10.1002/pssb.2221860223
4. U.K. Roessler, A.A. Leonov, and A.N. Bogdanov, J. Phys. Conf. Ser. 303, 012105 (2011). JPCSDZ 1742-6588 10.1088/1742-6596/303/1/012105
5. S. Muehlbauer, B. Binz, F. Jonietz, C. Pfleiderer, A. Rosch, A. Neubauer, R. Georgii, and P. Boeni, Science 323, 915 (2009). SCIEAS 0036-8075 10.1126/science.1166767
6. X.Z. Yu, Y. Onose, N. Kanazawa, J.H. Park, J.H. Han, Y. Matsui, N. Nagaosa, and Y. Tokura, Nature 465, 901 (2010). NATUAS 0028-0836 10.1038/nature09124
7. H.S. Park, X. Yu, S. Aizawa, T. Tanigaki, T. Akashi, Y. Takahashi, T. Matsuda, N. Kanazawa, Y. Onose, D. Shindo, A. Tonomura, and Y. Tokura, Nat. Nanotechnol. 9, 337 (2014). NNAABX 1748-3387 10.1038/nnano.2014.52
8. S. Heinze, K. von Bergmann, M. Menzel, J. Brede, A. Kubetzka, R. Wiesendanger, G. Bihlmayer, and S. Blügel, Nat. Phys. 7, 713 (2011). NPAHAX 1745-2473 10.1038/nphys2045
9. N. Romming, C. Hanneken, M. Menzel, J.E. Bickel, B. Wolter, K. von Bergmann, A. Kubetzka, and R. Wiesendanger, Science 341, 636 (2013). SCIEAS 0036-8075 10.1126/science.1240573
10. I. Dzyaloshinsky, J. Phys. Chem. Solids 4, 241 (1958). JPCSAW 0022-3697 10.1016/0022-3697(58)90076-3
11. T. Moriya, Phys. Rev. 120, 91 (1960). PHRVAO 0031-899X 10.1103/PhysRev.120.91
12. A. Fert, V. Cros, and J. Sampaio, Nat. Nanotechnol. 8, 152 (2013). NNAABX 1748-3387 10.1038/nnano.2013.29
13. F. Jonietz, S. Muehlbauer, C. Pfleiderer, A. Neubauer, W. Muenzer, A. Bauer, T. Adams, R. Georgii, P. Boeni, R.A. Duine, K. Everschor, M. Garst, and A. Rosch, Science 330, 1648 (2010). SCIEAS 0036-8075 10.1126/science.1195709
14. X.Z. Yu, N. Kanazawa, W.Z. Zhang, T. Nagai, T. Hara, K. Kimoto, Y. Matsui, Y. Onose, and Y. Tokura, Nat. Commun. 3, 988 (2012). NCAOBW 2041-1723 10.1038/ncomms1990
15. J. Sampaio, V. Cros, S. Rohart, A. Thiaville, and A. Fert, Nat. Nanotechnol. 8, 839 (2013). NNAABX 1748-3387 10.1038/nnano.2013.210
16. N. Nagaosa and Y. Tokura, Nat. Nanotechnol. 8, 899 (2013). NNAABX 1748-3387 10.1038/nnano.2013.243
17. S.S.P. Parkin, M. Hayashi, and L. Thomas, Science 320, 190 (2008). SCIEAS 0036-8075 10.1126/science.1145799
18. R. Wiesendanger, Rev. Mod. Phys. 81, 1495 (2009). RMPHAT 0034-6861 10.1103/RevModPhys.81.1495
19. P. Milde, D. Kohler, J. Seidel, L.M. Eng, A. Bauer, A. Chacon, J. Kindervater, S. Muhlbauer, C. Pfleiderer, S. Buhrandt, C. Schutte, and A. Rosch, Science 340, 1076 (2013). SCIEAS 0036-8075 10.1126/science.1234657
20. A. Kubetzka, M. Bode, O. Pietzsch, and R. Wiesendanger, Phys. Rev. Lett. 88, 057201 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.057201
21. A. Schlenhoff, S. Krause, G. Herzog, and R. Wiesendanger, Appl. Phys. Lett. 97, 083104 (2010). APPLAB 0003-6951 10.1063/1.3474659
22. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.114.177203 for description of methods, Supplemental Movie 1, and Figs. S1 and S2.
23. B. Dupe, M. Hoffmann, C. Paillard, and S. Heinze, Nat. Commun. 5, 4030 (2014). NCAOBW 2041-1723 10.1038/ncomms5030
24. K. von Bergmann, A. Kubetzka, O. Pietzsch, and R. Wiesendanger, J. Phys. Condens. Matter 26, 394002 (2014). JCOMEL 0953-8984 10.1088/0953-8984/26/39/394002
25. H.-B. Braun, Phys. Rev. B 50, 16485 (1994). PRBMDO 0163-1829 10.1103/PhysRevB.50.16485
26. A. Kubetzka, O. Pietzsch, M. Bode, and R. Wiesendanger, Phys. Rev. B 67, 020401 (2003). PRBMDO 0163-1829 10.1103/PhysRevB.67.020401
27. M.N. Wilson, A.B. Butenko, A.N. Bogdanov, and T.L. Monchesky, Phys. Rev. B 89, 094411 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.094411
28. A. Bogdanov and A. Hubert, J. Magn. Magn. Mater. 195, 182 (1999). JMMMDC 0304-8853 10.1016/S0304-8853(98)01038-5
29. S. Rohart and A. Thiaville, Phys. Rev. B 88, 184422 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.184422
30. E. Simon, K. Palotas, L. Rozsa, L. Udvardi, and L. Szunyogh, Phys. Rev. B 90, 094410 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.90.094410
31. http://math.nist.gov/oommf, release 1.2a5.