Abstract
We report on the observation of bulk superconductivity from dc magnetization measurements in a cylindrical single crystal of Cu${}_{x}$Bi${}_{2}$Se${}_{3}$. The magnitude of the magnetization in the Meissner state is very small, and the magnetic-field dependence of the magnetization just above the lower critical field ${H}_{\mathrm{c}1}$ is very different from those of usual type-II superconductors. We studied the character of the vortex state theoretically in a spin-triplet pairing superconductor and compared it with the experimental results. The results showed that the superconductivity observed in Cu${}_{x}$Bi${}_{2}$Se${}_{3}$ is consistent with the spin-triplet pairing superconductivity with odd parity. We also observed a rapid relaxation phenomenon of the superconducting diamagnetism.
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