Local order parameters for symmetry fractionalization
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DOI: 10.1088/1367-2630/ab4fff
Abstract: We propose a family of order parameters to detect the symmetry fractionalization class of anyons in 2D topological phases. This fractionalization class accounts for the projective, as opposed to linear, representations of the symmetry group… read more here.
Keywords: order; parameters symmetry; local order; order parameters ... See more keywords
String order parameters for symmetry fractionalization in an enriched toric code
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DOI: 10.1103/physrevb.103.125104
Abstract: We study a simple model of symmetry-enriched topological order obtained by decorating a toric code model with lower-dimensional symmetry-protected topological states. We show that the symmetry fractionalization in this model can be characterized by string… read more here.
Keywords: toric code; order; symmetry fractionalization; order parameters ... See more keywords
Classification of symmetry fractionalization in gapped $\mathbb Z_2$ spin liquids
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DOI: 10.1103/physrevb.97.115138
Abstract: In quantum spin liquids, fractional spinon excitations carry half-integer spins and other fractional quantum numbers of lattice and time-reversal symmetries. Different patterns of symmetry fractionalization distinguish different spin liquid phases. In this work, we derive… read more here.
Keywords: symmetry fractionalization; spin liquids; spin; gapped mathbb ... See more keywords
Entanglement renormalization and symmetry fractionalization
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DOI: 10.1103/physrevb.99.195139
Abstract: It is well known that the matrix product state (MPS) description of a gapped ground state with a global on-site symmetry can exhibit "symmetry fractionalization." Namely, even though the symmetry acts as a linear representation… read more here.
Keywords: ground; entanglement renormalization; symmetry fractionalization; symmetry ... See more keywords