  In this paper, we study the effect of thermal fluctuations on the
thermodynamics of a black geometry with hyperscaling violation. These thermal
fluctuations in the thermodynamics of this system are produced from quantum
corrections of geometry describing this system. We discuss the stability of
this system using specific heat and the entire Hessian matrix of the free
energy. We will analyze the effects of thermal fluctuations on the stability of
this system. We also analyze the effects of thermal fluctuations on the
criticality of the Hyperscaling violation background.
