Abstract
The unusual low-temperature superconducting (SC) phase transitions following the competition between orbital and spin electron pair breaking, characterizing clean, heavy fermion, strongly type-II superconductors at high magnetic fields, are investigated within a nonperturbaive approach, which enables one to reliably determine the stable SC phases, treat properly the corresponding finite jumps of the order parameter, and account for various unusual features reported recently for some heavy-fermion superconductors such as ${\text{CeCoIn}}_{5}$ and ${\text{URu}}_{2}{\text{Si}}_{2}$.
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