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A higher-order (HO) symmetry-protected topological (SPT) state can berealized in a plaquette-modulated square lattice antiferromagnet, which hosts aspin-$1/2$ degenerate mode on each corner of the lattice with open boundaries.In this work, we show with the field-theoretic analysis and quantum Monte Carlosimulations that the plaquette modulation can drive a direct topologicalquantum phase transition from the HOSPT to a trivial disordered phase acrossthe deconfined quantum critical point (DQCP) between the antiferromagnetic (AF)order and the valence bond solid (VBS) order, thus the DQCP is a multicriticalpoint bridging both the AF-VBS transition and the topological transition of theHOSPT phase. Our work thus reveals the ubiquitous duality between topologicaltransitions of SPT phases and DQCPs.

Deconfined Quantum Phase Transition of a Higher-Order Symmetry-Protected Topological State