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Title:
symmetry enforced SPT phases
Speaker:
Abstract:
Generalized Hastings-Oshikawa-Lieb-Schultz-Mattis theorems put strong constraints on possible symmetric quantum states of matter. In particular, in the presence of translation symmetry and a projective representation of the onsite symmetry group per unit cell, it is impossible to have a gapped short-range entangled (SRE) symmetric ground state. However, I will discuss that in the presence of certain "magnetic" translation symmetry, gapped SRE symmetric ground states could exist, which are enforced to be symmetry protected topological (SPT) phases. Focusing on bosonic systems in two spatial dimensions, we provide the necessary and sufficient condition for such symmetry enforced SPT phases to occur, as well as their model realizations.
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