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A Circuit Model for Domain Walls in Ferromagnetic Nanowires: Application to Conductance and Spin Transfer Torques

  • Falloon, Peter E.
  • Jalabert, Rodolfo A.
  • Weinmann, Dietmar
  • Stamps, Robert L.
Published Article
Publication Date
Jun 03, 2004
Submission Date
Jun 03, 2004
DOI: 10.1103/PhysRevB.70.174424
arXiv ID: cond-mat/0406076
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We present a circuit model to describe the electron transport through a domain wall in a ferromagnetic nanowire. The domain wall is treated as a coherent 4-terminal device with incoming and outgoing channels of spin up and down and the spin-dependent scattering in the vicinity of the wall is modelled using classical resistances. We derive the conductance of the circuit in terms of general conductance parameters for a domain wall. We then calculate these conductance parameters for the case of ballistic transport through the domain wall, and obtain a simple formula for the domain wall magnetoresistance which gives a result consistent with recent experiments. The spin transfer torque exerted on a domain wall by a spin-polarized current is calculated using the circuit model and an estimate of the speed of the resulting wall motion is made.


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