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

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.

7 pages, 5 figures, published version

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Cited by in corpus (9)

• Partition function of the Levin-Wen model
• Tensor-network approach to phase transitions in string-net models
• Frustrated topological symmetry breaking: geometrical frustration and anyon condensation
• Mean-field ansatz for topological phases with string tension
• Wegner-Wilson loops in string nets
• Topological and nontopological degeneracies in generalized string-net models
• Bound states in string nets
• Ising versus $SU(2{)}_2$ string-net ladder
• Anyon Chains with Pairing Terms