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However, in our case there is an obvious asymmetry only after the field pulse
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Asymmetric loops are common in exchange bias systems, e.g., M. R. Fitzsimmons, P. Yashar, C. Leighton, I. K. Schuller, J. Nogués, C. F. Majkrzak, and J. A. Dura, Phys. Rev. Lett. 84, 3986 (2000). However, in our case there is an obvious asymmetry only after the field pulse.
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