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Based on the quasiclassical theory, we investigate the vortex structure in the Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) state suggested for the high field phase of CeCoIn5. We show that the paramagnetic moments are enhanced at the vortex line and at the nodal plane of the FFLO modulation, and discuss the double peak structure of the NMR spectrum in the FFLO state.
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