22
A. M. Korostil and M. M. Krupa
magnetic anisotropy formation and its dependence on the interface electron structure are described in the framework of a tight-binding model of spin–orbit-coupled
electrons exchange-coupled to the localized magnetic states.
Acknowledgements This work is part of a project that has received funding from the European
Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant
agreement No 778308.
References
1. Johnson MT, Bloemen PJH, den Broeder FJA, de Vries JJ (1996) Magnetic anisotropy in metallic
multilayers. Rep Prog Phys 59:1409
2. Dzyaloshinksky EI (1958) Thermodynamic theory of “weak” ferromagne-tism of antiferromagnetics. J Phys Chem Solids 4:241
3. Moriya T (1960) Anisotropic superexchange interaction and weak ferro-magnetism. Phys Rev
Lett 120:91
4. Manchon A, Koo HC, Nitta J, Frolov SM, Duine RA (2015) New perspectives for Rashba
spin-orbit coupling. Nat Mater 14:871
5. Chiba D, Sawicki M, Nishitani Y, Nakatani Y, Matsukura F, Ohno H (2008) Magnetization
vector manipulation by electric fields. Nature 455:515
6. Maruyama T, Shiota Y, Nozaki T, Ohta K, Toda N, Mizuguchi M, Tulapurkar AA, Shinjo T,
Shiraishi M, Mizukami S et al (2009) Large voltage-induced magnetic anisotropy change in a
few atomic layers of iron. Nat Nanotechnol 4:158
7. Chaudhary G, Dias MS, MacDonald AH, Lounis S (2018) Anatomy of magnetic anisotropy
induced by Rashba spin-orbit interaction. Phys Rev B 98:134404
A. M. Korostil and M. M. Krupa
magnetic anisotropy formation and its dependence on the interface electron structure are described in the framework of a tight-binding model of spin–orbit-coupled
electrons exchange-coupled to the localized magnetic states.
Acknowledgements This work is part of a project that has received funding from the European
Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant
agreement No 778308.
References
1. Johnson MT, Bloemen PJH, den Broeder FJA, de Vries JJ (1996) Magnetic anisotropy in metallic
multilayers. Rep Prog Phys 59:1409
2. Dzyaloshinksky EI (1958) Thermodynamic theory of “weak” ferromagne-tism of antiferromagnetics. J Phys Chem Solids 4:241
3. Moriya T (1960) Anisotropic superexchange interaction and weak ferro-magnetism. Phys Rev
Lett 120:91
4. Manchon A, Koo HC, Nitta J, Frolov SM, Duine RA (2015) New perspectives for Rashba
spin-orbit coupling. Nat Mater 14:871
5. Chiba D, Sawicki M, Nishitani Y, Nakatani Y, Matsukura F, Ohno H (2008) Magnetization
vector manipulation by electric fields. Nature 455:515
6. Maruyama T, Shiota Y, Nozaki T, Ohta K, Toda N, Mizuguchi M, Tulapurkar AA, Shinjo T,
Shiraishi M, Mizukami S et al (2009) Large voltage-induced magnetic anisotropy change in a
few atomic layers of iron. Nat Nanotechnol 4:158
7. Chaudhary G, Dias MS, MacDonald AH, Lounis S (2018) Anatomy of magnetic anisotropy
induced by Rashba spin-orbit interaction. Phys Rev B 98:134404