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The high field superconducting state in CeCoIn5 has been studied bytransverse field muon spin rotation measurements with an applied field parallelto the crystallographic c-axis close to the upper critical field Hc2 = 4.97 T.At magnetic fields >= 4.8 T the muon Knight shift is enhanced and thesuperconducting transition changes from second order towards first order aspredicted for Pauli-limited superconductors. The field and temperaturedependence of the transverse muon spin relaxation rate sigma revealparamagnetic spin fluctuations in the field regime from 2 T < H < 4.8 T. In thenormal state close to Hc2 correlated spin fluctuations as described by the selfconsistent renormalization theory are observed. The results support theformation of a mode-coupled superconducting and antiferromagnetically orderedphase in CeCoIn5 for H directed parallel to the c-axis.

Field-induced coupled superconductivity and spin density wave order in the Heavy Fermion compound CeCoIn5