  We obtain exact solutions of the (2+1) dimensional Dirac oscillator in a
homogeneous magnetic field within a minimal length ($\Delta x_0=\hbar
\sqrt{\beta}$), or generalised uncertainty principle (GUP) scenario. This
system in ordinary quantum mechanics has a single left-right chiral quantum
phase transition (QPT). We show that a non zero minimal length turns on a
infinite number of quantum phase transitions which accumulate towards the known
QPT when $\beta \to 0$. It is also shown that the presence of the minimal
length modifies the degeneracy of the states and that in this case there exist
a new class of states which do not survive in the ordinary quantum mechanics
limit $\beta \to 0$.
