Braiding statistics of loop excitations in three dimensions

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Article number080403
Journal / PublicationPhysical Review Letters
Volume113
Issue number8
Online published19 Aug 2014
Publication statusPublished - 22 Aug 2014
Externally publishedYes

Abstract

While it is well known that three dimensional quantum many-body systems can support nontrivial braiding statistics between particlelike and looplike excitations, or between two looplike excitations, we argue that a more fundamental quantity is the statistical phase associated with braiding one loop α around another loop β, while both are linked to a third loop γ. We study this three-loop braiding in the context of (ZNK gauge theories which are obtained by gauging a gapped, short-range entangled lattice boson model with (ZNK symmetry. We find that different short-range entangled bosonic states with the same (ZN symmetry (i.e., different symmetry-protected topological phases) can be distinguished by their three-loop braiding statistics. 

Citation Format(s)

Braiding statistics of loop excitations in three dimensions. / Wang, Chenjie; Levin, Michael.
In: Physical Review Letters, Vol. 113, No. 8, 080403, 22.08.2014.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review