Regensburg 2016 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 73: Low-Dimensional Systems: Topological Order

TT 73.2: Talk

Thursday, March 10, 2016, 15:15–15:30, H19

Exact tensor network states for the Kitaev honeycomb model — •Philipp Schmoll and Román Orús — Institute of Physics, Johannes Gutenberg University, 55099 Mainz, Germany

The spin-1/2 Kitaev honeycomb model was originally proposed in the context of topological quantum computation. This analytically solvable model realizes a spin liquid and exhibits rich physical behaviour, such as abelian and non-abelian anyons as excitations. Our aim is to describe the eigenstates of the model using tensor network methods, which offer efficient descriptions of quantum many-body systems. In particular we exploit parity preservation and build a fermionic tensor network to express the eigenstates of the Hamiltonian in the different vortex sectors. We implement the network for small lattices with periodic boundary conditions in order to verify the approach for the model in the thermodynamic limit.