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Magnetoresistivity measurements with fine tuning of the field direction onhigh quality single crystals of the ferromagnetic superconductor UCoGe showanomalous anisotropy of the upper critical field H_c2. H_c2 for H // b-axis(H_c2^b) in the orthorhombic crystal structure is strongly enhanced withdecreasing temperature with an S-shape and reaches nearly 20 T at 0 K. Thetemperature dependence of H_c2^a shows upward curvature with a low temperaturevalue exceeding 30 T, while H_c2^c at 0 K is very small (~ 0.6 T). Contrary toconventional ferromagnets, the decrease of the Curie temperature withincreasing field for H // b-axis marked by an enhancement of the effective massof the conduction electrons appears to be the origin of the S-shaped H_c2^bcurve. These results indicate that the field-induced ferromagnetic instabilityor magnetic quantum criticality reinforces superconductivity.

Extremely Large and Anisotropic Upper Critical Field and the Ferromagnetic Instability in UCoGe