Topological vacuum bubbles by anyon braiding

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According to a basic rule of fermionic and bosonic many-body physics, known as the linked cluster theorem, physical observables are not affected by vacuum bubbles, which represent virtual particles created from vacuum and self-annihilating without interacting with real particles. Here we show that this conventional knowledge must be revised for anyons, quasiparticles that obey fractional exchange statistics intermediate between fermions and bosons. We find that a certain class of vacuum bubbles of Abelian anyons does affect physical observables. They represent virtually excited anyons that wind around real anyonic excitations. These topological bubbles result in a temperature-dependent phase shift of Fabry-Perot interference patterns in the fractional quantum Hall regime accessible in current experiments, thus providing a tool for direct and unambiguous observation of elusive fractional statistics.
Publisher
NATURE PUBLISHING GROUP
Issue Date
2016-03
Language
English
Article Type
Article
Citation

NATURE COMMUNICATIONS, v.7

ISSN
2041-1723
DOI
10.1038/ncomms11131
URI
http://hdl.handle.net/10203/208782
Appears in Collection
PH-Journal Papers(저널논문)
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