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Article overview
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Topological Phases in Gapped Edges of Fractionalized Systems | | Johannes Motruk
; Ari M. Turner
; Erez Berg
; Frank Pollmann
; | | Date: |
9 Mar 2013 | | Abstract: | Recently, it has been proposed that exotic one-dimensional phases can be
realized by gapping out the edge states of a fractional topological insulator.
The low-energy edge degrees of freedom are described by a chain of coupled
parafermions. We introduce a classification scheme for the phases that can
occur in parafermionic chains. We find that the parafermions support both
topological phases as well as symmetry broken phases in which the parafermions
condense. In the presence of additional symmetries, the phases form a
non-Abelian group. As a concrete example of the classification, we consider the
effective edge model for a {
u} = 1/3 fractional topological insulator for
which we calculate the entanglement spectra numerically and show that all
possible predicted phases can be realized. | | Source: | arXiv, 1303.2194 | | Services: | Forum | Review | PDF | Favorites | |
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