Dresden 2017 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 56: Poster Session: Low-Dimensional Systems

TT 56.9: Poster

Mittwoch, 22. März 2017, 15:00–19:00, P2-OG4

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 ground-state vortex sector. We implement the network for small lattices with periodic boundary conditions in order to verify the approach for the model in the thermodynamic limit.