2007
DOI: 10.1109/tmag.2007.892597
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Analysis of Magnetoresistance in Arrays of Connected Nano-Rings

Abstract: Abstract-We study the Anisotropic Magneto-Resistance (AMR) of a two-dimensional periodic square array of connected permalloy rings with periodicity of 1µm combining experimental and computational techniques.The computational model consists of two parts: (i) the computation of the magnetization and (ii) the computation of the current density. For (i), we use standard micromagnetic methods. For (ii), we start from a potential difference applied across the sample, compute the resulting electric potential and subs… Show more

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Cited by 12 publications
(13 citation statements)
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“…Anisotropic magnetoresistance (AMR) measurements, which lead to changes in the resistivity as the relative orientation between the magnetization ( M ) and current ( I ) is modified, is the ratio given by the electrical resistance increase between resistance states when the magnetization is parallel ( ) and perpendicular ( ) to the current. This property along with the shape of the MR curves have been extensively used to identify micromagnetic configurations, magnetization reversal processes and resistance states in arrays of parallel NWs 35 , 39 , 40 , individual NWs and NTs 41 , 42 , nano-networks 43 , 44 and complex 3-D CNW networks 15 , 16 . In this work, AMR is used to obtain a better insight of the magnetic behavior of 3-D CNT networks and its key difference with 3-D CNW networks.…”
Section: Resultsmentioning
confidence: 99%
“…Anisotropic magnetoresistance (AMR) measurements, which lead to changes in the resistivity as the relative orientation between the magnetization ( M ) and current ( I ) is modified, is the ratio given by the electrical resistance increase between resistance states when the magnetization is parallel ( ) and perpendicular ( ) to the current. This property along with the shape of the MR curves have been extensively used to identify micromagnetic configurations, magnetization reversal processes and resistance states in arrays of parallel NWs 35 , 39 , 40 , individual NWs and NTs 41 , 42 , nano-networks 43 , 44 and complex 3-D CNW networks 15 , 16 . In this work, AMR is used to obtain a better insight of the magnetic behavior of 3-D CNT networks and its key difference with 3-D CNW networks.…”
Section: Resultsmentioning
confidence: 99%
“…Simulated DW lengths for the nanostructures featured in Figure 1, are displayed as an inset in Figure 2. For the calculation of the anisotropic magnetoresistance (AMR) plotted in Figure 3b we used nmag (a multiphysics package based on the finite element method developed at Southampton University [13]) and followed the methodology employed by Bordignon et al in Reference [14]. The advantage of using this method is, that it takes into account the back reaction of the AMR effect onto the current distribution hence it provides a more accurate AMR estimation.…”
Section: Methodsmentioning
confidence: 99%
“…The toy system presented in Fig. 2(right) is related to the system studied in [8] features both Dirichlet (fixed potential at top and bottom contacts) and von Neumann (no current leaving the sample through other boundaries) boundary conditions. Conductivity σ(x) depends on the angle θ between current density j and magnetization M: σ(x) = σ 0 /(1+α cos 2 θ).…”
Section: B Anisotropic Magnetoresistancementioning
confidence: 99%