Abstract
A theoretical analysis of a magnetic field induced transition in the mixed state of an antiferromagnetic superconductors is presented. The electromagnetic properties of the superconducting mixed state are calculated within the framework of the boson method while the magnetic properties of the rare earth ions are represented by means of a Landau expansion. The form of the magnetic free energy and the Landau coefficients are chosen to model the metamagnetic behaviour observed in bct ErRh 4B 4. Phase diagrams and magnetisation curves are presented for various choices of parameters and a comparison with the recent observations on bct ErRh 4B 4 is made. The analysis of the antiferromagnetic phase is extended to include the possible formation of a ferrimagnetic domain around the vortex core and its effect is discussed.
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