Quantum limit and reentrant superconducting phases in the Q1D conductor Li_0.9Mo₆O₁₇

We solve the theoretical problem of restoration of superconductivity in a triplet quasi-one-dimensional, layered superconductor in an ultra-high magnetic field. With the field perpendicular to the conducting chains as well as having a component normal to the layers, we suggest a new quantum limit superconducting phase and derive an analytical expression for the transition temperature as a function of magnetic field, T^∗(H). Using our theoretical results along with the known band and superconducting parameters of the presumably triplet superconductor Li_0.9Mo₆O₁₇, we determine the orientation of H that maximizes T^∗(H) for a given value of the field. Subsequently, we show that reentrant superconductivity in this compound is attainable with currently available non-destructive pulsed magnetic fields of order H≃100T, when such fields are perpendicular to conducting chains and parallel to the layers. For its possible experimental discovery, we give a detailed specification on how small angular inclinations of the magnetic field from its best experimental geometry decrease the superconducting transition temperature of the reentrant phase.