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Identification of pairing mechanisms leading to the unconventionalsuperconductivity realized in copper-oxide, heavy-fermions, and organiccompounds is one of the most challenging issues in condensed-matter physics.Clear evidence for an electron-phonon mechanism in conventional superconductorsis seen by the isotope effect on the superconducting transition temperatures$T_{\rm SC}$, since isotopic substitution varies the phonon frequency withoutaffecting the electronic states. In unconventional superconductors, magneticfluctuations have been proposed to mediate superconductivity, and considerableefforts have been made to unravel relationships between normal-state magneticfluctuations and superconductivity. Here, we show that characteristicexperimental results on the ferromagnetic (FM) superconductor UCoGe ($T_{\rmCurie} \sim 2.5 $ K and $T_{\rm SC} \sim 0.6$ K) can be understood consistentlywithin a scenario of the spin-triplet superconductivity induced by FM spinfluctuations. Temperature and angle dependencies of the upper critical magneticfield of the superconductivity ($H_{c2}$) are calculated on the basis of theabove scenario by solving the Eliashberg equation. Calculated $H_{c2}$ wellagrees with the characteristic experimental results observed in UCoGe. This isa first example that FM fluctuations are shown to be a pairing glue ofsuperconductivity.

Spin-Triplet Superconductivity Induced by Longitudinal Ferromagnetic Fluctuations in UCoGe: Theoretical Aspect