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arXiv:1806.09623 · Physical Review X

Disentangling Interacting Symmetry-Protected Phases of Fermions in Two Dimensions

Tyler D. Ellison, Lukasz Fidkowski

Published Jan 29, 2019• 21 citations
arXivHTMLPDF

Abstract

A new quantum-circuit-based approach to studying fermionic symmetry-protected topological phases could help researchers understand the classification and characterization of these exotic states of matter.
DOI
10.1103/physrevx.9.011016

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Symmetry-protected topological (SPT) phases (e.g., the well known topological insulators) are a class of energetically gapped condensed matter systems that exhibit interesting topological properties only in the presence of certain global symmetries. While a great understanding of noninteracting fermionic SPT phases has been achieved recently, interacting SPT phases, in particular those that exist only in strongly interacting systems, are much less understood in general. Here, the authors study strongly interacting fermionic SPT phases in two spatial dimensions with finite Abelian unitary symmetries and provide a potentially complete classification of them.