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arXiv · 1410.4051

Russian doll spectrum in a non-Abelian string-net ladder

M. D. Schulz·S. Dusuel·J. Vidal
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Abstract

We study a string-net ladder in the presence of a string tension. Focusing on the simplest non-Abelian anyon theory with a quantum dimension larger than two, we determine the phase diagram and find a Russian doll spectrum featuring size-independent energy levels as well as highly degenerate zero-energy eigenstates. At the self-dual points, we compute the gap exactly by using a mapping onto the Temperley-Lieb chain. These results are in stark constrast with the ones obtained for Fibonacci or Ising theories.

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M. D. Schulz, S. Dusuel, J. Vidal. 2015-04-09. Russian doll spectrum in a non-Abelian string-net ladder. https://doi.org/10.1103/physrevb.91.155110

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