Quantum Limit in a Magnetic Field for Triplet Superconductivity in a Quasi-One-Dimensional Conductor

We theoretically consider the upper critical magnetic field, perpendicular to a conducting axis in a triplet quasi-one-dimensional superconductor. In particular, we demonstrate that, at high magnetic fields, the orbital effects against superconductivity in a magnetic field are reversible and, therefore, superconductivity can restore. It is important that the above mentioned quantum limit can be achieved in presumably triplet quasi-one-dimensional superconductor Li${}_{0.9}$Mo${}_6$O${}_{17}$ [J.-F. Mercure et al., Phys. Rev. Lett. {\bf 108}, 187003 (2012)] at laboratory available pulsed magnetic fields of the order of $H=500-700T$.