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No-go theorem for boson condensation in topologically ordered quantum liquids

Author(s): Neupert, Titus; He, Huan; von Keyserlingk, Curt; Sierra, German; Bernevig, Bogdan A.

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Abstract: Certain phase transitions between topological quantum field theories (TQFTs) are driven by the condensation of bosonic anyons. However, as bosons in a TQFT are themselves nontrivial collective excitations, there can be topological obstructions that prevent them from condensing. Here we formulate such an obstruction in the form of a no-go theorem. We use it to show that no condensation is possible in SO(3)(k) TQFTs with odd k. We further show that a ‘layered’ theory obtained by tensoring SO(3)(k) TQFT with itself any integer number of times does not admit condensation transitions either. This includes (as the case k = 3) the noncondensability of any number of layers of the Fibonacci TQFT.
Publication Date: 7-Dec-2016
Electronic Publication Date: 7-Dec-2016
Citation: Neupert, Titus, He, Huan, von Keyserlingk, Curt, Sierra, German, Bernevig, B Andrei. (2016). No-go theorem for boson condensation in topologically ordered quantum liquids. NEW JOURNAL OF PHYSICS, 18 (10.1088/1367-2630/18/12/123009
DOI: doi:10.1088/1367-2630/18/12/123009
ISSN: 1367-2630
Type of Material: Journal Article
Journal/Proceeding Title: NEW JOURNAL OF PHYSICS
Version: Final published version. This is an open access article.

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