572 citations · 4.1k across the 73 of their papers we have counts for
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Classifying local fractal subsystem symmetry protected topological phases
Trithep Devakul
We study symmetry-protected topological (SPT) phases of matter in 2D protected by symmetries acting on fractal subsystems of a certain type. Despite the total symmetry group of suc…
Higher order symmetry-protected topological states for interacting bosons and fermions
Yizhi You, Trithep Devakul, F. J. Burnell +1
Higher-order topological insulators have a modified bulk-boundary correspondence compared to other topological phases: instead of gapless edge or surface states, they have gapped e…
Classification of subsystem symmetry-protected topological phases
Trithep Devakul, Dominic J. Williamson, Yizhi You
We consider symmetry-protected topological (SPT) phases in 2D protected by linear subsystem symmetries, i.e. those that act along rigid lines. There is a distinction between a "str…
Symmetric Fracton Matter: Twisted and Enriched
Yizhi You, Trithep Devakul, F. J. Burnell +1
In this paper, we explore the interplay between symmetry and fracton order, motivated by the analogous close relationship for topologically ordered systems. Specifically, we consid…
Fractal Symmetric Phases of Matter
Trithep Devakul, Yizhi You, F. J. Burnell +1
We study spin systems which exhibit symmetries that act on a fractal subset of sites, with fractal structures generated by linear cellular automata. In addition to the trivial symm…
Subsystem symmetry protected topological order
Yizhi You, Trithep Devakul, F. J. Burnell +1
In this work, we introduce a new type of topological order which is protected by subsystem symmetries which act on lower dimensional subsets of lattice many-body system, e.g. along…