  We obtained the metric of Schwarzschild-like black hole with LQG correction
in anti-de Sitter (AdS) space-time under the assumption that cosmological
constant is decoupled in loop quantum gravity (LQG), and investigated its
thermodynamics, including equation of state, criticality, heat capacity and
Gibbs free energy. $P$-$v$ graph is plotted and critical behavior has been
calculated. It is found that due to LQG effect, quantum corrected
Schwarzschild-AdS black hole has critical point and a critical ratio $7/18$. It
is different from RN-AdS black hole $3/8$ (the same as Van der Waals system).
But there are still some similarities compared to Van der Waals system, like
same critical exponents and a similar $P$-$v$ graph. Moreover, it is concluded
that energy-momentum tensor related to black hole's mass could break the usual
first law. The modified first law will violate the conservation of Gibbs free
energy during the first order phase transition. Joule-Thomson expansion is also
studied. It is interesting that compared with Schwarzschild-AdS black hole, LQG
effect leads to inversion points. The inversion curve divides $T$-$P$
coordinate system into two zones: heating region and cooling region, which is
shown in inversion curves and isenthalpic curves detailedly. The results showed
that there is a minimum inversion mass, which makes any black holes with a mass
smaller than this value won't have inversion point.
