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We propose an exact construction for atypical excited states of a class of nonintegrable quantum many-body Hamiltonians in one, two, and three dimensions that display area-law entanglement entropy. These examples of many-body "scar" states have, by design, other properties, such as topological degeneracies, usually associated with the gapped ground states of symmetry-protected topological phases or topologically ordered phases of matter.
Majed Chergui, Giulia Fulvia Mancini, Michele Puppin, Ludmila Maria Diniz Leroy, Hui-Yuan Chen, Rolf Baldwin Versteeg
Jan Steggemann, Konstantin Androsov, Anna Mascellani, Joanna Malgorzata Wanczyk