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Hysteresis in
Magnetic Materials


uofm


Candice A. Viddal
Roy M. Roshko

Department of
Physics and Astronomy

303 Allen Building
University of Manitoba
Winnipeg, Manitoba, Canada


figureHysteresis is perhaps the most distinctive and widely recognized experimental signature of magnetism. A material with hysteresis is a material with persistent memory, and its magnetic response is path dependent, in the sense that the magnetic moment M(t) of the material at time t depends not only on the current value of the excitation field H(t), but on the complete history of the field H(t') at all previous times t'< t. One of the experimental fingerprints of this memory is the hysteresis loop, illustrated on the upperFigure right, for a thin film of nanodimensional particles of Fe embedded in Al2O3. The loop traces the response M of the material to variations in the applied field Ha, starting from a demagnetized initial state (Ha=0,M=0), and then proceeding to positive saturation (Ha~4000 Oe), and then to negative saturation, and back to positive saturation. Hysteresis in the field dependence of the response is always accompanied by thermal hysteresis, which is typically observed as a bifurcation of the temperature dependence of the field cooled (FC) and zero field cooled (ZFC) moment into two branches, as illustrated on the lower right for the same system of Fe nanoparticles in Al2O3.
        Hysteresis is a property which is of considerable interest from a technological perspective, since essentially all practical applications of magnetism, from the hard permanent magnets in electric motors to the soft magnets in transformer cores, from electronic devices to information storage and recording technology, exploit some aspect of the history-dependence of the magnetic response. However, from a fundamental perspective, hysteresis is also a fascinating and complex physical and mathematical problem, for which there is currently no convincing general interpretive theoretical framework.

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