Topological phases in gapped edges of fractionalized systems
| Autor: | Frank Pollmann, Erez Berg, Ari Turner, Johannes Motruk |
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| Rok vydání: | 2013 |
| Předmět: |
Physics
Quantum phase transition Strongly Correlated Electrons (cond-mat.str-el) Group (mathematics) Degrees of freedom (statistics) FOS: Physical sciences Quantum entanglement Condensed Matter Physics Topology Symmetry protected topological order Symmetry (physics) Electronic Optical and Magnetic Materials Condensed Matter - Strongly Correlated Electrons Topological insulator Homogeneous space |
| DOI: | 10.48550/arxiv.1303.2194 |
| Popis: | 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 symmetry fractionalized phases as well as 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 $\nu= 1/3$ fractional topological insulator for which we calculate the entanglement spectra numerically and show that all possible predicted phases can be realized. Comment: 11 pages, 7 figures, final version |
| Databáze: | OpenAIRE |
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