Chiral Triplet Quasi-Two-Dimensional Superconductor in a Parallel Magnetic Field

We calculate the parallel upper critical magnetic field (Formula presented.) for an in-plane isotropic quasi-two-dimensional chiral triplet superconductor at zero temperature, T = 0. In particular, the ratio (Formula presented.) is defined, where (Formula presented.) is the so-called Ginzburg–Landau slope of the upper critical magnetic field, T_c is a superconducting transition temperature at H = 0. We show that the theoretically obtained above mentioned value strongly contradicts to the experimentally measured ones in a candidate for a chiral triplet superconductivity Sr₂RuO₄, which provides one more argument against the chiral triplet scenario of superconductivity in this compound. Our results may be useful for establishing chiral triplet superconductivity in other quasi-two-dimensional candidates for this phenomenon.