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