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

We calculate the parallel upper critical magnetic field $${{H}_{\parallel }}(0)$$ for an in-plane isotropic quasi-two-dimensional chiral triplet superconductor at zero temperature, $$T = 0$$ . In particular, the ratio $${{H}_{\parallel }}(0){\text{/}}\left( {{\text{|}}dH_{\parallel }^{{GL}}{\text{/}}dT{{{\text{|}}}_{{T = {{T}_{c}}}}}{{T}_{c}}} \right)$$ = 0.815 is defined, where $${\text{|}}dH_{\parallel }^{{GL}}{\text{/}}dT{{{\text{|}}}_{{T = {{T}_{c}}}}}$$ 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 Sr 2 RuO 4 , 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.