Nat Tantivasadakarn (Harvard University)

Title: Commuting Projector Models for Interacting Fermionic Symmetry-Protected Topological Phases

Abstract: We construct Finite Depth Local Unitaries (FDLUs) that realizes the decorated domain wall procedure for fermionic Symmetry-Protected Topological (SPT) phases. This results in commuting projector Hamiltonians, which can be thought of the "square root" phases of the bosonic SPTs. We construct explicit examples for 1D phases protected by ℤ2T×ℤ2F (class BDI) and ℤ4×ℤ4F, and 2D phases protected by ℤ2×ℤ2F. These models also provide proof that such phases can be realized by tensor networks and admit many-body localization.