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- W2884130260 abstract "We discuss an extension of higher-order topological phases to include bosonic systems. We present two spin models for a second-order topological phase protected by a global ${mathbb{Z}}_{2}ifmmodetimeselsetexttimesfi{}{mathbb{Z}}_{2}$ symmetry. One model is built from layers of an exactly solvable cluster model for a one-dimensional ${mathbb{Z}}_{2}ifmmodetimeselsetexttimesfi{}{mathbb{Z}}_{2}$ topological phase, while the other is built from more conventional spin couplings (XY or Heisenberg). These models host gapped, symmetry-protected topological phases on their edges, and corner modes that fall into a projective representation of the symmetry. Using Jordan-Wigner transformations we show that both our models are related to a bilayer of free Majorana fermions that form a fermionic second-order topological phase. We also discuss how our models can be extended to three dimensions to form a third-order topological phase." @default.
- W2884130260 created "2018-08-03" @default.
- W2884130260 creator A5046529785 @default.
- W2884130260 creator A5079210814 @default.
- W2884130260 date "2019-03-07" @default.
- W2884130260 modified "2023-09-26" @default.
- W2884130260 title "Higher Order Bosonic Topological Phases in Spin Models" @default.
- W2884130260 hasPublicationYear "2019" @default.
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