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The two dimensional square lattice antiferromagnet with spin-orbit couplingand nonsymmorphic symmetry is recently found to be topological insulator (TI).We theoretically studied the Floquet states of the antiferromagnetic crystalwith optical irradiation, which could be applicable in opto-spintronic. Anoptical irradiation with circular polarization induces topological phasetransition into quantum Anomalous Hall (QAH) phase with varying Chern number.At the phase boundaries, the Floquet systems could be semimetal with one, twoor three band valleys. A linear polarized optical field induces effectiveantiferromagnetic exchange field, which change the phase regime of the TI. Atthe intersection of two phase boundaries, the bulk band structure is nearlyflat along one of the high symmetry line in the first Brillouin zone, whichresult in large density of states near to the Fermi energy in bulk andnanoribbons.

Optically Induced Topological Phase Transition in two dimensional Square Lattice Antiferromagnet