Abstract
We consider the influence of a uniform high magnetic field B on the superconducting order parameter of heavy fermion II-type superconductors at T = O. The system is described in the slave boson mean field approach to the periodic Anderson Hamiltonian. We assume that the heavy fermion quasiparticles are caused by the 4f electrons hybridization with conducting ones in the Landau states [1]. Moreover, the applied field is sufficiently high to take into account only the lowest occupied Landau level. Thus we can start with the following effective Hamiltonian of the quasiparticles in strong magnetic field:
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