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Dresden 2017 – wissenschaftliches Programm

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MA: Fachverband Magnetismus

MA 68: Poster 5

MA 68.14: Poster

Freitag, 24. März 2017, 09:30–13:00, P2-OG4

Breakdown of 3D topological order in a magnetic field — •David Reiss and Kai Phillip Schmidt — Lehrstuhl für Theoreti-sche Physik I, Staudtstraße 7, Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany

Intrinsic topological order in three dimensions represents interesting quantum phases featuring exotic elementary excitations which are spatially extended and have anyonic statistics different from bosons and fermions. Such phases can exist at finite temperatures and might serve as future error-correcting quantum memories. One paradigmatic example of 3D topological order is Kitaev's toric code, which has a non-zero topological entanglement entropy at finite temperatures in contrast to the conventional 2D case. This phase can arise as effective low-energy Hamiltonian of 3D generalizations of the frustrated Kitaev honeycomb model which might describe frustrated quantum magnets like certain iridate compounds.

Here we study the robustness of the 3D toric code against quantum fluctuations by investigating the zero-temperature phase diagram of the 3D toric code in an arbitrary uniform magnetic field.

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