  In this paper, we consider non-perturbative quantum correction which appears
as exponential term in the black hole entropy. We study consequence
thermodynamics of the Ho\v{r}ava-Lifshitz black hole at quantum scales. We
consider two cases of Kehagius-Sfetsos and Lu-Mei-Pop solutions and investigate
black hole stability. We find that non-perturbative quantum correction yields
to an instability at infinitesimal horizon radius of Kehagius-Sfetsos solution.
On the other hand, non-perturbative quantum correction yields to the stability
of Lu-Mei-Pop solution. Hence, we find that holographic dual of Lu-Mei-Pop
black hole (in absence of non-perturbative quantum correction) is the
interacting gas of point like particles, while it is Van der Waals fluid in
presence of non-perturbative quantum correction.
