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

Marc Daniel Schulz, Sébastien Dusuel, Julien Vidal

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8 Scopus citations


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 contrast with the ones obtained for Fibonacci or Ising theories.

Original languageEnglish (US)
Article number155110
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number15
StatePublished - Apr 8 2015

Bibliographical note

Publisher Copyright:
© 2015 American Physical Society.


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