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In this work, we consider rotating BTZ black hole in three dimensions whichis dual of one dimensional holographic superconductors. We applied higher ordercorrections of the entropy, which interpreted as quantum corrections, to thethermodynamics quantities and study modified thermodynamics. We investigatestability of rotating BTZ black hole under effects of higher order quantumcorrections, and find that they affect stability of black hole. So, the smallblack hole has some instabilities and critical points due to the quantumeffects. We also study effect of correction terms on the dual picture ofrotating BTZ black hole.

Higher order quantum corrections of rotating BTZ black hole