Regensburg 2013 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 14: Correlated Electrons: Low-Dimensional Systems - Models 2
TT 14.4: Talk
Monday, March 11, 2013, 15:45–16:00, H9
Topological Phases in gapped edges of fractionalized systems — •Johannes Motruk1, Erez Berg2, Ari M. Turner3, and Frank Pollmann1 — 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany — 2Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, Israel 76100 — 3Institute for Theoretical Physics, University of Amsterdam, Science Park 904, P.O. Box 94485, 1090 GL Amsterdam, The Netherlands
We extend the classification scheme for symmetry protected topological phases of fermions in one-dimensional systems to chains of parafermions. We find that parafermionic chains support both topological as well as symmetry-broken phases. The topological phases can be identified by the structure of their entanglement spectrum, while the symmetry broken ones are characterized by a condensation of parafermions. Furthermore, we show that it is not possible to create new topological phases by combining chains. In several recent works, it has been proposed to realize parafermions experimentally at the edge of a fractional topological insulator coupled to superconducting and ferromagnetic domains. The parafermions arise as effective low-energy degrees of freedom. Based on this, we suggest a concrete physical realization at the edge of a ν=1/3 fractional topological insulator which we can tune into all possible topological phases. We identify the different phases by numerically determining their entanglement spectra.