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Reentrant superconductivity has been observed in the candidate spin-tripletsuperconductor UTe$_2$ as a function of the magnetic field applied along thehard axis. Resistivity measurements have shown, a broadened superconductingtransition appears near the minimal $T_c$, highlighting the importance ofsuperconducting fluctuations in this regime. We present a phenomenologicalstudy assuming a field-driven first-order transition between twosuperconducting states. We show that with quenched randomness,inhomogeneity-enhanced superconducting fluctuations near the transition couldnaturally account for both the reentrant superconductivity as well as thebroadened superconducting transition.

Quenched randomness, thermal fluctuations and reentrant superconductivity: application to UTe$_2$