publication . Other literature type . Preprint . Article . 2018

Micromagnetics and spintronics: models and numerical methods

Claas Abert;
  • Published: 29 Oct 2018
  • Publisher: Springer Science and Business Media LLC
Abstract
Computational micromagnetics has become an indispensable tool for the theoretical investigation of magnetic structures. Classical micromagnetics has been successfully applied to a wide range of applications including magnetic storage media, magnetic sensors, permanent magnets and more. The recent advent of spintronics devices has lead to various extensions to the micromagnetic model in order to account for spin-transport effects. This article aims to give an overview over the analytical micromagnetic model as well as its numerical implementation. The main focus is put on the integration of spin-transport effects with classical micromagnetics.
Subjects
arXiv: Condensed Matter::OtherCondensed Matter::Materials SciencePhysics::Computational Physics
free text keywords: Physics - Computational Physics, Electronic, Optical and Magnetic Materials, Condensed Matter Physics, Physics, Solid-state physics, Numerical analysis, Micromagnetics, Engineering physics, Complex system, Spintronics, Magnetic storage, law.invention, law, Magnet
Related Organizations
85 references, page 1 of 6

[11] X. Yu, Y. Onose, N. Kanazawa, J. Park, J. Han, Y. Matsui, N. Nagaosa, and Y. Tokura, \Real-space observation of a two-dimensional skyrmion crystal," Nature, vol. 465, no. 7300, p. 901, 2010.

[12] X. Yu, M. Mostovoy, Y. Tokunaga, W. Zhang, K. Kimoto, Y. Matsui, Y. Kaneko, N. Nagaosa, and Y. Tokura, \Magnetic stripes and skyrmions with helicity reversals," Proceedings of the National Academy of Sciences, vol. 109, no. 23, pp. 8856{8860, 2012. [OpenAIRE]

[13] A. Bogdanov and U. Ro ler, \Chiral symmetry breaking in magnetic thin lms and multilayers," Physical review letters, vol. 87, no. 3, p. 037203, 2001.

[14] D. Cortes-Ortun~o and P. Landeros, \In uence of the dzyaloshinskii{moriya interaction on the spin-wave spectra of thin lms," Journal of Physics: Condensed Matter, vol. 25, no. 15, p. 156001, 2013.

[15] M. A. Ruderman and C. Kittel, \Indirect exchange coupling of nuclear magnetic moments by conduction electrons," Physical Review, vol. 96, no. 1, p. 99, 1954. [OpenAIRE]

[16] T. Kasuya, \A theory of metallic ferro-and antiferromagnetism on zener's model," Progress of theoretical physics, vol. 16, no. 1, pp. 45{57, 1956.

[17] K. Yosida, \Magnetic properties of cu-mn alloys," Physical Review, vol. 106, no. 5, p. 893, 1957. [OpenAIRE]

[18] K. Fabian and F. Heider, \How to include magnetostriction in micromagnetic models of titanomagnetite grains," Geophysical research letters, vol. 23, no. 20, pp. 2839{2842, 1996. [OpenAIRE]

[19] Y. Shu, M. Lin, and K. Wu, \Micromagnetic modeling of magnetostrictive materials under intrinsic stress," Mechanics of Materials, vol. 36, no. 10, pp. 975{997, 2004.

[20] L. Torres, L. Lopez-Diaz, E. Martinez, and O. Alejos, \Micromagnetic dynamic computations including eddy currents," IEEE transactions on magnetics, vol. 39, no. 5, pp. 2498{ 2500, 2003.

[21] G. Hrkac, M. Kirschner, F. Dorfbauer, D. Suess, O. Ertl, J. Fidler, and T. Schre , \Threedimensional micromagnetic nite element simulations including eddy currents," Journal of applied physics, vol. 97, no. 10, p. 10E311, 2005.

[22] R. Hertel, \Micromagnetic simulations of magnetostatically coupled nickel nanowires," Journal of Applied Physics, vol. 90, no. 11, pp. 5752{5758, 2001.

[23] W. Scholz, J. Fidler, T. Schre , D. Suess, H. Forster, V. Tsiantos, et al., \Scalable parallel micromagnetic solvers for magnetic nanostructures," Computational Materials Science, vol. 28, no. 2, pp. 366{383, 2003.

[24] D. V. Berkov, \Fast switching of magnetic nanoparticles: Simulation of thermal noise e ects using the langevin dynamics," IEEE transactions on magnetics, vol. 38, no. 5, pp. 2489{2495, 2002.

[25] O. Chubykalo, J. Hannay, M. Wongsam, R. Chantrell, and J. Gonzalez, \Langevin dynamic simulation of spin waves in a micromagnetic model," Physical Review B, vol. 65, no. 18, p. 184428, 2002. [OpenAIRE]

85 references, page 1 of 6
Abstract
Computational micromagnetics has become an indispensable tool for the theoretical investigation of magnetic structures. Classical micromagnetics has been successfully applied to a wide range of applications including magnetic storage media, magnetic sensors, permanent magnets and more. The recent advent of spintronics devices has lead to various extensions to the micromagnetic model in order to account for spin-transport effects. This article aims to give an overview over the analytical micromagnetic model as well as its numerical implementation. The main focus is put on the integration of spin-transport effects with classical micromagnetics.
Subjects
arXiv: Condensed Matter::OtherCondensed Matter::Materials SciencePhysics::Computational Physics
free text keywords: Physics - Computational Physics, Electronic, Optical and Magnetic Materials, Condensed Matter Physics, Physics, Solid-state physics, Numerical analysis, Micromagnetics, Engineering physics, Complex system, Spintronics, Magnetic storage, law.invention, law, Magnet
Related Organizations
85 references, page 1 of 6

[11] X. Yu, Y. Onose, N. Kanazawa, J. Park, J. Han, Y. Matsui, N. Nagaosa, and Y. Tokura, \Real-space observation of a two-dimensional skyrmion crystal," Nature, vol. 465, no. 7300, p. 901, 2010.

[12] X. Yu, M. Mostovoy, Y. Tokunaga, W. Zhang, K. Kimoto, Y. Matsui, Y. Kaneko, N. Nagaosa, and Y. Tokura, \Magnetic stripes and skyrmions with helicity reversals," Proceedings of the National Academy of Sciences, vol. 109, no. 23, pp. 8856{8860, 2012. [OpenAIRE]

[13] A. Bogdanov and U. Ro ler, \Chiral symmetry breaking in magnetic thin lms and multilayers," Physical review letters, vol. 87, no. 3, p. 037203, 2001.

[14] D. Cortes-Ortun~o and P. Landeros, \In uence of the dzyaloshinskii{moriya interaction on the spin-wave spectra of thin lms," Journal of Physics: Condensed Matter, vol. 25, no. 15, p. 156001, 2013.

[15] M. A. Ruderman and C. Kittel, \Indirect exchange coupling of nuclear magnetic moments by conduction electrons," Physical Review, vol. 96, no. 1, p. 99, 1954. [OpenAIRE]

[16] T. Kasuya, \A theory of metallic ferro-and antiferromagnetism on zener's model," Progress of theoretical physics, vol. 16, no. 1, pp. 45{57, 1956.

[17] K. Yosida, \Magnetic properties of cu-mn alloys," Physical Review, vol. 106, no. 5, p. 893, 1957. [OpenAIRE]

[18] K. Fabian and F. Heider, \How to include magnetostriction in micromagnetic models of titanomagnetite grains," Geophysical research letters, vol. 23, no. 20, pp. 2839{2842, 1996. [OpenAIRE]

[19] Y. Shu, M. Lin, and K. Wu, \Micromagnetic modeling of magnetostrictive materials under intrinsic stress," Mechanics of Materials, vol. 36, no. 10, pp. 975{997, 2004.

[20] L. Torres, L. Lopez-Diaz, E. Martinez, and O. Alejos, \Micromagnetic dynamic computations including eddy currents," IEEE transactions on magnetics, vol. 39, no. 5, pp. 2498{ 2500, 2003.

[21] G. Hrkac, M. Kirschner, F. Dorfbauer, D. Suess, O. Ertl, J. Fidler, and T. Schre , \Threedimensional micromagnetic nite element simulations including eddy currents," Journal of applied physics, vol. 97, no. 10, p. 10E311, 2005.

[22] R. Hertel, \Micromagnetic simulations of magnetostatically coupled nickel nanowires," Journal of Applied Physics, vol. 90, no. 11, pp. 5752{5758, 2001.

[23] W. Scholz, J. Fidler, T. Schre , D. Suess, H. Forster, V. Tsiantos, et al., \Scalable parallel micromagnetic solvers for magnetic nanostructures," Computational Materials Science, vol. 28, no. 2, pp. 366{383, 2003.

[24] D. V. Berkov, \Fast switching of magnetic nanoparticles: Simulation of thermal noise e ects using the langevin dynamics," IEEE transactions on magnetics, vol. 38, no. 5, pp. 2489{2495, 2002.

[25] O. Chubykalo, J. Hannay, M. Wongsam, R. Chantrell, and J. Gonzalez, \Langevin dynamic simulation of spin waves in a micromagnetic model," Physical Review B, vol. 65, no. 18, p. 184428, 2002. [OpenAIRE]

85 references, page 1 of 6
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publication . Other literature type . Preprint . Article . 2018

Micromagnetics and spintronics: models and numerical methods

Claas Abert;