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The magnetoresistance in submicrometer Permalloy square ring structures has been experimentally measured and modeled. The authors show that using an external field they can place a head-to-head domain wall at a selected corner of the ring and sense its position by magnetoresistance. They finally demonstrate that a domain wall can be reversibly and controllably displaced by current pulses of different polarity. Their observations can be explained by a directional spin-torque effect.
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Vavassori et al. (2007) studied this question.
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