View source for Voigt–Thomson law

'''Voigt–Thomson law''' describes [[anisotropy|anisotropic]] [[magnetoresistance]] effect in a [[thin film]] strip as a relationship between the electric [[resistivity]] and the direction of [[electric current]]:<ref name="arxiv">{{Cite journal|arxiv=cond-mat/0305687|title=Magnetic anisotropy and magnetoresistance of sputtered &#91;(FeTaN)/(TaN)&#93;(n) multilayers|journal=Journal of Applied Physics|volume=91|issue=10|pages=7532–7534|last1=Nie|first1=H. B|last2=Xu|first2=S. Y|last3=Li|first3=J|last4=Ong|first4=C. K|last5=Wang|first5=J. P|year=2002 |doi=10.1063/1.1447875|bibcode=2002JAP....91.7532N|s2cid=43762722}}</ref>

::<math>\rho (\vartheta) = \rho_0 + \Delta \rho \cdot cos^2 \vartheta</math>

where:
: <math>\vartheta \ </math> is the angle of direction of current in relation to the direction of [[magnetic field]]
: <math>\rho_0 \ </math> is the initial resistivity
: <math>\Delta \rho \ </math> is the change of resistivity (proportional to [[MR ratio]])

The equation can also be expressed as:<ref name="google">{{cite journal|title=Proceedings of the Royal Society of London: Mathematical and physical sciences. Series A|author=Royal Society (Great Britain)|journal=Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences|date=1936|publisher=Harrison and Son|issn=0962-8444|url=https://books.google.com/books?id=iboOAAAAIAAJ|accessdate=2015-07-19}}</ref>

::<math>\rho (\vartheta) = \rho_\parallel \cdot  cos^2 \vartheta + \rho_\perp \cdot sin^2 \vartheta</math>

where:
: <math>\rho_\parallel \ </math> is the [[Parallel (geometry)|parallel]] component of resistivity
: <math>\rho_\perp\ </math> is the [[perpendicular]] component

== References ==
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[[Category:Spintronics]]