Statistics of Fractionalized Excitations through Threshold Spectroscopy

We show that neutral anyonic excitations have a signature in spectroscopic measurements of materials: The low-energy onset of spectral functions near the threshold follows universal power laws with an exponent that depends only on the statistics of the anyons. This provides a route, using experiment...

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Bibliographic Details
Published in:Physical review letters 2017-05, Vol.118 (22), p.227201-227201, Article 227201
Main Authors: Morampudi, Siddhardh C, Turner, Ari M, Pollmann, Frank, Wilczek, Frank
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
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Summary:We show that neutral anyonic excitations have a signature in spectroscopic measurements of materials: The low-energy onset of spectral functions near the threshold follows universal power laws with an exponent that depends only on the statistics of the anyons. This provides a route, using experimental techniques such as neutron scattering and tunneling spectroscopy, for detecting anyonic statistics in topologically ordered states such as gapped quantum spin liquids and hypothesized fractional Chern insulators. Our calculations also explain some recent theoretical results in spin systems.
ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.118.227201