Anomalous Hall voltage rectification and quantized spin-wave excitation induced by simultaneous application of dc and rf currents in a single-layered Ni81 Fe19 nanoscale wire

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 22, 2009, Pages

  Yamaguchi, A ^a,b   Motoi, K ^a   Hirohata, A ^c   Miyajima, H ^a  

^a KEIO UNIVERSITY   (Japan)

^b JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

^c UNIVERSITY OF YORK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67649992506     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.224409     Document Type: Article

References (50)

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46. Here, the amplitude of the dc voltages, VAMR (ωk) and VHall (ωk), is calculated by using Eqs. 41 42 by replacing both the current density j and the resistivity ρ with the current I and resistance R, respectively.
47. These values are obtained by substituting the width of the wire (w=5 μm) and the distance between the center conductive line and ground line (y=50 μm).
48. For precise analysis, accurate estimation of the derivatives x, y, θ x, and θ y is important. However, as the SW length and the amplitude of the SW modes cannot be explicitly defined in the measurements, the derivatives are difficult to determine precisely at this stage. On the other hand, the derivatives y and θ y dominate the higher-order SW excitation state as described by Eq. 47, where the two-dimensional spin variation contains a large DW or higher-order SW excitation.
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50. Similar effect can be expected in a microscopic ferromagnetic structure with the presence of a DW. If a twisted spin structure such as DW existed in the wire, the contributions of the spin torques may also increase with the spatial derivatives. For instance, the contributions of the driving torques can be evaluated in a twisted spin structure of 180° DW with 300 nm in width. x is estimated to be 180° 300 nm =1.05× 107 rad/m. The contribution of the adiabatic spin-transfer torque is udc 1 αΔ x =7.9× 10-2 and urf 1 αΔ x =2.5× 10-2, indicating that the spin torque controls the magnetization dynamics. These values are much larger than the additional Hall voltage induced by the dc current and hence are not applicable to our results here. Similarly, y can be obtained for the higher-order SW excitation, which is hard to describe using the one-dimensional spin-configuration model.