Upper critical field as a probe for multiband superconductivity in bulk and interfacial STO

We investigate the temperature dependence of the upper critical field $H_{c 2}$ as a tool to probe the possible presence of multiband superconductivity at the interface of LAO/STO. The behaviour of $H_{c 2}$ can clearly indicate two-band superconductivity through its nontrivial temperature dependence. For the disorder scattering dominated two-dimensional LAO/STO interface we find a characteristic non-monotonic curvature of the $H_{c 2} (T)$. We also analyse the $H_{c 2}$ for multiband bulk STO and find similar behaviour.

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