Spin orbit magnetism and unconventional superconductivity
Yi Zhang, Kevin S. Bedell
DOI 10.1103/PhysRevB.87.115134 · Physical Review B
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Abstract
We find an exotic spin excitation in a magnetically ordered system with spin orbit magnetism in two dimensions, where the order parameter has a net spin current and no net magnetization. Starting from a Fermi liquid theory, similar to that for a weak ferromagnet, we show that this excitation emerges from an exotic magnetic Fermi liquid state that is protected by a generalized Pomeranchuk condition. We derive the propagating mode using the Landau kinetic equation and find that the dispersion of the mode has a q behavior in leading order in two dimensions. We find an instability toward superconductivity induced by this exotic mode, and a further analysis based on the forward scattering sum rule strongly suggests that this superconductivity has p-wave pairing symmetry. We perform similar studies in the three-dimensional case, with a slightly different magnetic system, and find that the mode leads to a Lifshitz-like instability, most likely toward an inhomogeneous magnetic state in one of the phases.
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