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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Main Authors: Morampudi, Siddhardh C., Turner, Ari M., Pollmann, Frank, Wilczek, Frank
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Published: American Physical Society (APS) 2018
Online Access:http://hdl.handle.net/1721.1/117774
https://orcid.org/0000-0002-6489-6155
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author Morampudi, Siddhardh C.
Turner, Ari M.
Pollmann, Frank
Wilczek, Frank
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Morampudi, Siddhardh C.
Turner, Ari M.
Pollmann, Frank
Wilczek, Frank
author_sort Morampudi, Siddhardh C.
collection MIT
description 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.
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spelling mit-1721.1/1177742022-10-01T15:41:37Z Statistics of Fractionalized Excitations through Threshold Spectroscopy Morampudi, Siddhardh C. Turner, Ari M. Pollmann, Frank Wilczek, Frank Massachusetts Institute of Technology. Department of Physics Wilczek, Frank 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. German Research Foundation (Grant No. SFB 1143) German Research Foundation. FOR 1807 (Grant No. P01370/2-1) United States. Department of Energy (Contract No. DE-SC0012567) 2018-09-17T14:17:51Z 2018-09-17T14:17:51Z 2017-05 2016-09 2018-08-29T14:54:56Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/117774 Morampudi, Siddhardh C., Ari M. Turner, Frank Pollmann, and Frank Wilczek. “Statistics of Fractionalized Excitations through Threshold Spectroscopy.” Physical Review Letters 118, no. 22 (May 31, 2017). https://orcid.org/0000-0002-6489-6155 http://dx.doi.org/10.1103/PHYSREVLETT.118.227201 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society (APS) APS
spellingShingle Morampudi, Siddhardh C.
Turner, Ari M.
Pollmann, Frank
Wilczek, Frank
Statistics of Fractionalized Excitations through Threshold Spectroscopy
title Statistics of Fractionalized Excitations through Threshold Spectroscopy
title_full Statistics of Fractionalized Excitations through Threshold Spectroscopy
title_fullStr Statistics of Fractionalized Excitations through Threshold Spectroscopy
title_full_unstemmed Statistics of Fractionalized Excitations through Threshold Spectroscopy
title_short Statistics of Fractionalized Excitations through Threshold Spectroscopy
title_sort statistics of fractionalized excitations through threshold spectroscopy
url http://hdl.handle.net/1721.1/117774
https://orcid.org/0000-0002-6489-6155
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