Abstract
In this thesis we have presented an ab initio theory for the calculation of pair- and multi-spin, or multi-site, magnetic interactions in magnetic materials. Our approach is able to describe the dependence of the electronic structure on the magnetic ordering associated with each atomic site, and in turn evaluates the effect that the electronic response has on the magnetism. This is obtained from modelling thermal fluctuations of magnetic degrees of freedom, which we describe by adopting the Disordered Local Moment picture.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Evans RFL, Fan WJ, Chureemart P, Ostler TA, Ellis MOA, Chantrell RW (2014) Atomistic spin model simulations of magnetic nanomaterials. J Phys Condens Matter 26(10):103202
Ostler TA, Evans RFL, Chantrell RW, Atxitia U, Chubykalo-Fesenko O, Radu I, Abrudan R, Radu F, Tsukamoto A, Itoh A, Kirilyuk A, Rasing T, Kimel A (2011) Crystallographically amorphous ferrimagnetic alloys: comparing a localized atomistic spin model with experiments. Phys Rev B 84:024407
Radu I, Vahaplar K, Stamm C, Kachel T, Pontius N, Dürr HA, Ostler TA, Barker J, Evans RFL, Chantrell RW, Tsukamoto A, Itoh A, Kirilyuk A, Rasing T, Kimel AV (2011) Transient ferromagnetic-like state mediating ultrafast reversal of antiferromagnetically coupled spins. Nature 472:205
Dupé B, Bihlmayer G, Böttcher M, Blügel S, Heinze S (2016) Engineering skyrmions in transition-metal multilayers for spintronics. Nat Commun 7:11779
Chureemart P, Evans RFL, Chantrell RW (2011) Dynamics of domain wall driven by spin-transfer torque. Phys Rev B 83:184416
Garanin DA, Kachkachi H (2003) Surface contribution to the anisotropy of magnetic nanoparticles. Phys Rev Lett 90:065504
Asselin P, Evans RFL, Barker J, Chantrell RW, Yanes R, Chubykalo-Fesenko O, Hinzke D, Nowak U (2010) Constrained Monte Carlo method and calculation of the temperature dependence of magnetic anisotropy. Phys Rev B 82:054415
Gino H, Woodcock TG, Colin F, Alexander G, Julian D, Thomas S, Oliver G (2010) The role of local anisotropy profiles at grain boundaries on the coercivity of Nd\(_2\)Fe\(_{14}\)B magnets. Appl Phys Lett 97(23):232511
Mitsumata C, Sakuma A, Fukamichi K (2003) Mechanism of the exchange-bias field in ferromagnetic and antiferromagnetic bilayers. Phys Rev B 68:014437
Wadley P, Howells B, Železný J, Andrews C, Hills V, Campion RP, Novák V, OlejnÃk K, Maccherozzi F, Dhesi SS, Martin SY, Wagner T, Wunderlich J, Freimuth F, Mokrousov Y, KuneÅ¡ J, Chauhan JS, Grzybowski MJ, Rushforth AW, Edmonds KW, Gallagher BL, Jungwirth T (2016) Electrical switching of an antiferromagnet. Science 351(6273):587–590
Železný J, Gao H, Výborný K, Zemen J, Mašek J, Manchon A, Wunderlich J, Sinova J, Jungwirth T (2014) Relativistic Néel-order fields induced by electrical current in antiferromagnets. Phys Rev Lett 113:157201
Jakub Ž, Yang Z, Claudia F, Binghai Y (2017) Spin-polarized current in noncollinear antiferromagnets. Phys Rev Lett 119:187204
Mankovsky S, Polesya S, Chadova K, Ebert H, Staunton JB, Gruenbaum T, Schoen MAW, Back CH, Chen XZ, Song C (2017) Temperature-dependent transport properties of FeRh. Phys Rev B 95:155139
Duan TF, Ren WJ, Liu WL, Li SJ, Liu W, Zhang ZD (2015) Magnetic anisotropy of single-crystalline Mn\(_3\)Sn in triangular and helix-phase states. Appl Phys Lett 107(8):082403
Zhang Y, Sun Y, Yang H, Železný J, Parkin SPP, Felser C, Yan B (2017) Strong anisotropic anomalous hall effect and spin hall effect in the chiral antiferromagnetic compounds \({\rm {Mn}}_{3}{\rm {X}}\) (\({\rm X} ={\rm {Ge}}\), \({\rm {Sn}}\), \({\rm {Ga}}\), \({\rm {Ir}}\), \({\rm {Rh}}\), and \({\rm {Pt}}\)). Phys Rev B 95:075128
Körmann F, Dick A, Grabowski B, Hickel T, Neugebauer J (2012) Atomic forces at finite magnetic temperatures: phonons in paramagnetic iron. Phys Rev B 85:125104
Ebert H, Mankovsky S, Chadova K, Polesya S, Minár J, Ködderitzsch D (2015) Calculating linear-response functions for finite temperatures on the basis of the alloy analogy model. Phys Rev B 91:165132
Shun-Li S, Yi W, Zi-Kui L (2010) Thermodynamic fluctuations between magnetic states from first-principles phonon calculations: the case of bcc Fe. Phys Rev B 82:014425
Irina S, Anders B, Albert G, Tilmann H, Fritz K, Blazej G, Jörg N, Björn A (2018) Anomalous phonon lifetime shortening in paramagnetic crn caused by spin-lattice coupling: a combined spin and ab initio molecular dynamics study. Phys Rev Lett 121:125902
Peter S, Björn A, Abrikosov IA (2012) Equation of state of paramagnetic crn from ab initio molecular dynamics. Phys Rev B 85:144404
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Mendive Tapia, E. (2020). Summary and Outlook. In: Ab initio Theory of Magnetic Ordering. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-37238-5_8
Download citation
DOI: https://doi.org/10.1007/978-3-030-37238-5_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-37237-8
Online ISBN: 978-3-030-37238-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)