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Berlin 2015 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

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

HL 77.6: Vortrag

Donnerstag, 19. März 2015, 12:45–13:00, H 3010

Topological phases of a chain of twist defects — •Abhishek Roy1, Xiao Chen2, and Jeffrey Teo31Institute 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 Zk 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

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