  The study of topologically ordered states have given rise to a growing
interest in symmetry protected states in quantum matter. Recently, this theory
has been extended to quantum many body systems which demonstrate ordered states
at low temperature. An example of this is the discrete time crystal (DTC) which
has been demonstrated in a real quantum computer and in driven systems. These
states are periodic in time and are protected to disorder to a certain extent.
In general, DTC can be classified into two phases, the stable many body
localization (MBL) state, and the disordered thermal state. This work
demonstrates by generalizing DTC to 2 dimensions, there is an decrease in
thermal noise and an increase in the operating range of the MBL range in the
presence of disorder.
