  This paper investigates the possibility of generating Floquet-time crystals
in higher dimensions ($d\geq 2$) through the time-periodic driving of
integrable free-fermionic models. The realization leads to rigid time-crystal
phases that are ideally resistant to thermalization and decoherence. By
utilizing spin-orbit coupling, we are able to realize a robust time-crystal
phase that can be detected using novel techniques. Moreover, we discuss the
significance of studying the highly persistent subharmonic responses and their
implementation in a Kitaev spin liquid, which contributes to our understanding
of time translational symmetry breaking and its practical implications.
