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Littlewood, Peter B.
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document
Superconductivity in the dilute single band limit in reduced Strontium Titanate
Abstract
We report on superconductivity in single crystals of SrTiO$_{3-δ}$ with carrier densities ${n} < 1.4 ^{18}cm^{-3}$, where only a single band is occupied. For all samples in this regime, the resistive transition occurs at $T_{c}6525 \ mK$. We observe a zero resistance state for ${n}$ as low as $1.03 ^{17}cm^{-3}$, and a partial resistive transition for ${n} = 3.85 ^{16}cm^{-3}$. We observe low critical current densities, relatively high and isotropic upper critical fields, and an absence of diamagnetic screening in these samples. Our findings suggest an inhomogeneous superconducting state, embedded within a homogeneous high-mobility 3-dimensional electron gas. $T_{c}$ does not vary appreciably when ${n}$ changes by more than an order of magnitude, inconsistent with conventional superconductivity.