  In this article, we report emergence of topological phase in XMR material
TmSb under hydrostatic pressure using first principles calculations. We find
that TmSb, a topologically trivial semimetal, undergoes a topological phase
transition with band inversion at X point without breaking any symmetry under a
hydrostatic pressure of 12 GPa. At 15 GPa, it again becomes topologically
trivial with band inversion at $\Gamma$ as well as X point. We find that the
pressures corresponding to the topological phase transitions are far below the
pressure corresponding to structural phase transition at 25.5 GPa. The
reentrant behaviour of topological quantum phase with hydrostatic pressure
would help in finding a correlation between topology and XMR effect through
experiments.
