Abstract
Recently a new method has been developed for solving the Bogoliubov equations in the absence of magnetic field. In this work we apply the method to calculate low-Lying bound states in a paramagnetic-superconducting contact. It is assumed that the pairpotential drops from its bulk value inside the superconductor to zero at the interface, with finite slope. Impurity scattering is neglected. No sharp energy gap is found in the limit of vanishing thickness of the paramagnetic normal layer contrary to former work. The influence of neglecting a small term in the kinetic energy investigated. It is shown that for bound states the correction to the energy due to this term in the first order perturbation theory is zero.
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The author would like to thank the MPI and Prof. Bilz for their hospitality during the course of this research.
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Bar-Sagi, J. Low lying excitations in a pair-potential well. Z. Physik 269, 7–10 (1974). https://doi.org/10.1007/BF01668861
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DOI: https://doi.org/10.1007/BF01668861