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Single crystals of K0.58Fe1.56Se2 were successfully synthesized by a newsingle step process with the onset superconducting transition temperatures 31.9K. The x-ray diffraction patterns suggest that they have high crystallinequality and c-axis orientation. A possible modulation structure of Fe-vacancyalong c axis was observed. The upper critical field has been determined withthe magnetic field along ab-plane and c-axis, yielding an anisotropy of about3.3. It has also been shown that the critical current density of theK0.58Fe1.56Se2 is about 1.7x10^4 A/cm^2 at 5 K.

Upper fields and critical current density of K0.58Fe1.56Se2 single crystals grown by one step technique