Abstract
We propose a mechanism of unconventional superconductivity in a two-dimensional double-exchange system with spin-orbit coupling. We show that a Chern-Simons term is induced by integrating out the conduction-electron fields. In the presence of the Chern-Simons term, the conduction electrons behave like skyrmion or antiskyrmion excitations for the core spin system, which leads to a disordered state of the core spins. After magnetic long-range order is destroyed, the Chern-Simons term becomes dominant for the low-energy physics and leads to a p-wave pairing state of conduction electrons.
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