Berlin 2015 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 77: Low-dimensional systems: Topological order 1 (TT with HL)

HL 77.6: Talk

Thursday, March 19, 2015, 12:45–13:00, H 3010

Topological phases of a chain of twist defects — •Abhishek Roy¹, Xiao Chen², and Jeffrey Teo³ — ¹Institute of Theoretical Physics, University of Cologne, Koeln, Germany — ²Department of Physics, University of Illinois at Urbana-Champaign, USA — ³Department of Physics, University of Virgina, USA

A twist defect acts on a system of abelian anyons by permuting anyon labels in a manner that preserves their braiding properties.

We investigate a one dimensional chain of twist defects. The Hamiltonian consists of Wilson loop operators, each enclosing a pair of neighbouring defects. We explore both gapped and gapless phases. For the former, we use anyon pumping to classify the ground states. For the latter, we present mappings to known critical models.

We extend the above results from twofold defects (which are similar to Z_k parafermions) to threefold defects introduced by us earlier in an exactly solvable lattice model [1].

[1] J. C.Y. Teo, A. Roy, X. Chen. Phys. Rev. B 90, 115118