Erratum: Anatomy of dzyaloshinskii-moriya interaction at Co/Pt interfaces (Physical Review Letters (2015) 115 (267210) DOI: 10.1103/PhysRevLett.115.267210);Anatomy of Dzyaloshinskii-Moriya Interaction at Co/Pt Interfaces

Physical Review Letters

Volumn 115, Issue 26, 2015, Pages

  Yang, Hongxin ^a,b,c,d   Thiaville, André ^b   Rohart, Stanislas ^b   Fert, Albert ^c,e   Chshiev, Mairbek ^a  

^a UNIV GRENOBLE ALPES   (France)

^b UNIVERSITÉ PARIS SUD   (France)

^c CNRS   (France)

^d CEA GRENOBLE   (France)

^e UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; HEAVY METALS; MAGNETISM; PLATINUM; SPIN DYNAMICS;

ATOMIC LAYER; DOMAIN-WALL DYNAMICS; DOMINANT CONTRIBUTIONS; DZYALOSHINSKII-MORIYA INTERACTION; INDUCED MAGNETISM; MATERIAL COMBINATION; MICROSCOPIC MECHANISMS; SPIN-ORBIT COUPLINGS;

INTERFACES (MATERIALS);

EID: 84953268443     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.118.219901     Document Type: Erratum

References (47)

1. I. M. Miron, Nat. Mater. 10, 419 (2011). NMAACR 1476-1122 10.1038/nmat3020
2. S. S. P. Parkin, M. Hayashi, and L. Thomas, Science 320, 190 (2008). SCIEAS 0036-8075 10.1126/science.1145799
3. K.-W. Kim, S.-M. Seo, J. Ryu, K.-J. Lee, and H.-W. Lee, Phys. Rev. B 85, 180404 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.180404
4. I. M. Miron, K. Garello, G. Gaudin, P.-J. Zermatten, M. V. Costache, S. Auffret, S. Bandiera, B. Rodmacq, A. Schuhl, and P. Gambardella, Nature (London) 476, 189 (2011). NATUAS 0028-0836 10.1038/nature10309
5. K. Garello, I. M. Miron, C. O. Avci, F. Freimuth, Y. Mokrousov, S. Blügel, S. Auffret, O. Boulle, G. Gaudin, and P. Gambardella, Nat. Nanotechnol. 8, 587 (2013). NNAABX 1748-3387 10.1038/nnano.2013.145
6. L. Liu, C.-F. Pai, Y. Li, H. W. Tseng, D. C. Ralph, and R. A. Buhrman, Science 336, 555 (2012). SCIEAS 0036-8075 10.1126/science.1218197
7. J. E. Hirsch, Phys. Rev. Lett. 83, 1834 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.1834
8. A. Thiaville, S. Rohart, E. Jué, V. Cros, and A. Fert, Europhys. Lett. 100, 57002 (2012). EULEEJ 0295-5075 10.1209/0295-5075/100/57002
9. S. Emori, U. Bauer, S.-M. Ahn, E. Martinez, and G. S. Beach, Nat. Mater. 12, 611 (2013). NMAACR 1476-1122 10.1038/nmat3675
10. K.-S. Ryu, L. Thomas, S.-H. Yang, and S. S. P. Parkin, Nat. Nanotechnol. 8, 527 (2013). NNAABX 1748-3387 10.1038/nnano.2013.102
11. I. E. Dzyaloshinskii, Sov. Phys. JETP 5, 1259 (1957). SPHJAR 0038-5646
12. T. Moriya, Phys. Rev. 120, 91 (1960). PHRVAO 0031-899X 10.1103/PhysRev.120.91
13. A. Fert and P. M. Levy, Phys. Rev. Lett. 44, 1538 (1980). PRLTAO 0031-9007 10.1103/PhysRevLett.44.1538
14. M. Bode, M. Heide, K. von Bergmann, P. Ferriani, S. Heinze, G. Bihlmayer, A. Kubetzka, O. Pietzsch, S. Blügel, and R. Wiesendanger, Nature (London) 447, 190 (2007). NATUAS 0028-0836 10.1038/nature05802
15. M. Heide, G. Bihlmayer, and S. Blügel, Phys. Rev. B 78, 140403 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.140403
16. M. Heide, G. Bihlmayer, and S. Blügel, Physica (Amsterdam) 404B, 2678 (2009). PHYBE3 0921-4526 10.1016/j.physb.2009.06.070
17. J. Honolka, T. Y. Lee, K. Kuhnke, Phys. Rev. Lett. 102, 067207 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.067207
18. F. Freimuth, S. Blügel, and Y. Mokrousov, J. Phys. Condens. Matter 26, 104202 (2014). JCOMEL 0953-8984 10.1088/0953-8984/26/10/104202
19. U. K. Roessler, A. N. Bogdanov, and C. Pfleiderer, Nature (London) 442, 797 (2006). NATUAS 0028-0836 10.1038/nature05056
20. S. Mühlbauer, B. Binz, F. Jonietz, C. Pfleiderer, A. Rosch, A. Neubauer, R. Georgii, and P. Böni, Science 323, 915 (2009). SCIEAS 0036-8075 10.1126/science.1166767
21. X. Z. Yu, Y. Onose, N. Kanazawa, J. H. Park, J. H. Han, Y. Matsui, N. Nagaosa, and Y. Tokura, Nature (London) 465, 901 (2010). NATUAS 0028-0836 10.1038/nature09124
22. 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
23. Y. Yoshida, S. Schröder, P. Ferriani, D. Serrate, A. Kubetzka, K. von Bergmann, S. Heinze, and R. Wiesendanger, Phys. Rev. Lett. 108, 087205 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.087205
24. B. Dupé, M. Hoffmann, C. Paillard, and S. Heinze, Nat. Commun. 5, 4030 (2014). NCAOBW 2041-1723 10.1038/ncomms5030
25. E. Simon, K. Palotás, L. Rózsa, L. Udvardi, and L. Szunyogh, Phys. Rev. B 90, 094410 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.90.094410
26. G. Chen, T. Ma, A. T. N'Diaye, H. Kwon, C. Won, Y. Wu, and A. K. Schmid, Nat. Commun. 4, 2671 (2013). NCAOBW 2041-1723 10.1038/ncomms3671
27. S.-G. Je, D.-H. Kim, S.-C. Yoo, B.-C. Min, K.-J. Lee, and S.-B. Choe, Phys. Rev. B 88, 214401 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.214401
28. S. Emori, E. Martinez, K.-J. Lee, H.-W. Lee, U. Bauer, S.-M. Ahn, P. Agrawal, D. C. Bono, and G. S. D. Beach, Phys. Rev. B 90, 184427 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.90.184427
29. A. Hrabec, N. A. Porter, A. Wells, M. J. Benitez, G. Burnell, S. McVitie, D. McGrouther, T. A. Moore, and C. H. Marrows, Phys. Rev. B 90, 020402 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.90.020402
30. J. Torrejon, J. Kim, J. Sinha, S. Mitani, M. Hayashi, M. Yamanouchi, and H. Ohno, Nat. Commun. 5, 4655 (2014). NCAOBW 2041-1723 10.1038/ncomms5655
31. S. Pizzini, J. Vogel, S. Rohart, L. D. Buda-Prejbeanu, E. Jué, O. Boulle, I. M. Miron, C. K. Safeer, S. Auffret, G. Gaudin, and A. Thiaville, Phys. Rev. Lett. 113, 047203 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.047203
32. R. Lavrijsen, D. M. F. Hartmann, A. van den Brink, Y. Yin, B. Barcones, R. A. Duine, M. A. Verheijen, H. J. M. Swagten, and B. Koopmans, Phys. Rev. B 91, 104414 (2015). PRBMDO 1098-0121 10.1103/PhysRevB.91.104414
33. J.-H. Moon, S.-M. Seo, K.-J. Lee, K.-W. Kim, J. Ryu, H.-W. Lee, R. D. McMichael, and M. D. Stiles, Phys. Rev. B 88, 184404 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.184404
34. K. Di, V. L. Zhang, H. S. Lim, S. C. Ng, M. H. Kuok, J. Yu, J. Yoon, X. Qiu, and H. Yang, Phys. Rev. Lett. 114, 047201 (2015). PRLTAO 0031-9007 10.1103/PhysRevLett.114.047201
35. M. Belmeguenai, J.-P. Adam, Y. Roussigné, S. Eimer, T. Devolder, J.-V. Kim, S. M. Cherif, A. Stashkevich, and A. Thiaville, Phys. Rev. 91, 180405(R) (2015). PHRVAO 1098-0121 10.1103/PhysRevB.91.180405
36. J. H. Yang, Z. L. Li, X. Z. Lu, M.-H. Whangbo, S.-H. Wei, X. G. Gong, and H. J. Xiang, Phys. Rev. Lett. 109, 107203 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.107203
37. B. Zimmermann, M. Heide, G. Bihlmayer, and S. Blügel, Phys. Rev. B 90, 115427 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.90.115427
38. K.-S. Ryu, S.-H. Yang, L. Thomas, and S. S. P. Parkin, Nat. Commun. 5, 3910 (2014). NCAOBW 2041-1723 10.1038/ncomms4910
39. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.115.267210 for details of the approach as well as other supporting information.
40. A. Fert, V. Cros, and J. Sampaio, Nat. Nanotechnol. 8, 152 (2013). NNAABX 1748-3387 10.1038/nnano.2013.29
41. J. Sampaio, V. Cros, S. Rohart, A. Thiaville, and A. Fert, Nat. Nanotechnol. 8, 839 (2013). NNAABX 1748-3387 10.1038/nnano.2013.210
42. J. Iwasaki, M. Mochizuki, and N. Nagaosa, Nat. Nanotechnol. 8, 742 (2013). NNAABX 1748-3387 10.1038/nnano.2013.176
43. G. Kresse and J. Hafner, Phys. Rev. B 47, 558 (1993). PRBMDO 0163-1829 10.1103/PhysRevB.47.558
44. G. Kresse and J. Furthmüller, Phys. Rev. B 54, 11169 (1996). PRBMDO 0163-1829 10.1103/PhysRevB.54.11169
45. H. J. Xiang, E. J. Kan, S.-H. Wei, M.-H. Whangbo, and X. G. Gong, Phys. Rev. B 84, 224429 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.224429
46. Similar approach based on orbital and site resolved SOC energy contributions was applied for interfacial magnetic anisotropy studies by A. Hallal, H. X. Yang, B. Dieny, and M. Chshiev, Phys. Rev. B 88, 184423 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.184423
47. H. X. Yang, O. Boulle, V. Cros, A. Fert, and M. Chshiev (to be published).