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Switching probability of all-perpendicular spin valve nanopillars
Author(s) -
M. Tzoufras
Publication year - 2017
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.5003832
Subject(s) - nanopillar , perpendicular , legendre polynomials , spin valve , probability density function , azimuth , micromagnetics , magnetization , spin (aerodynamics) , condensed matter physics , materials science , physics , mathematical analysis , statistical physics , geometry , mathematics , magnetic field , nanostructure , nanotechnology , quantum mechanics , thermodynamics , statistics
In all-perpendicular spin valve nanopillars the probability density of the free-layer magnetization is independent of the azimuthal angle and its evolution equation simplifies considerably compared to the general, nonaxisymmetric geometry. Expansion of the time-dependent probability density to Legendre polynomials enables analytical integration of the evolution equation and yields a compact expression for the practically relevant switching probability. This approach is valid when the free layer behaves as a single-domain magnetic particle and it can be readily applied to fitting experimental data.In all-perpendicular spin valve nanopillars the probability density of the free-layer magnetization is independent of the azimuthal angle and its evolution equation simplifies considerably compared to the general, nonaxisymmetric geometry. Expansion of the time-dependent probability density to Legendre polynomials enables analytical integration of the evolution equation and yields a compact expression for the practically relevant switching probability. This approach is valid when the free layer behaves as a single-domain magnetic particle and it can be readily applied to fitting experimental data.

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