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A simple theory for the dependence of the electrical resistance of the magnetic superconductors TmRh4B4 and ErRh4B4 on temperature and field

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Abstract

A phenomenological description for the temperature and magnetic field dependence of the electrical resistanceR of polycrystalline samples of the reentrant superconductors TmRh4B4 and ErRh4B4 is given on the basis of two assumptions:(1) Due to the anisotropic values of the rare-earth ions the critical field of the crystallites depends on the direction of the externally applied field, which leads to an increasing number of normal crystallites with increasing field. For the dependence of the magnetizationM on temperature, a molecular field model is used.(2) The bulk resistanceR of the sample depends in a linear way on the fraction of normal crystallites. There is a qualitative agreement with the experimental results of Hamaker et al. and of Ott et al. It is also shown that an applied fieldH eis equal to the orbital critical fieldH *c2 for the temperature at whichR(He, T) starts deviating from the resistance of the normal sample.

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Meijer, H.C., Andriessen, J. & Postma, H. A simple theory for the dependence of the electrical resistance of the magnetic superconductors TmRh4B4 and ErRh4B4 on temperature and field. J Low Temp Phys 63, 115–127 (1986). https://doi.org/10.1007/BF00682065

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  • DOI: https://doi.org/10.1007/BF00682065

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