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Title: Statistics of Fractionalized Excitations through Threshold Spectroscopy

Abstract

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.

Authors:
 [1];  [2];  [3];  [4]
+ Show Author Affiliations
  1. Max-Planck-Inst. für Physik komplexer Systeme, Dresden (Germany)
  2. Technion-Israel Inst. of Tech., Haifa (Israel); Johns Hopkins Univ., Baltimore, MD (United States)
  3. Max-Planck-Inst. für Physik komplexer Systeme, Dresden (Germany); Technische Univ. Munchen, Garching (Germany)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Stockholm Univ. (Sweden); Arizona State Univ., Tempe, AZ (United States); Shanghai Jiao Tong Univ. (China)
Publication Date:
Research Org.:
Johns Hopkins Univ., Baltimore, MD (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1505576
Alternate Identifier(s):
OSTI ID: 1361005
Grant/Contract Number:  
FG02-08ER46544; SC0012567; FG02-08-ER46544
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 22; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Morampudi, Siddhardh C., Turner, Ari M., Pollmann, Frank, and Wilczek, Frank. Statistics of Fractionalized Excitations through Threshold Spectroscopy. United States: N. p., 2017. Web. doi:10.1103/physrevlett.118.227201.
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Morampudi, Siddhardh C., Turner, Ari M., Pollmann, Frank, & Wilczek, Frank. Statistics of Fractionalized Excitations through Threshold Spectroscopy. United States. doi:10.1103/physrevlett.118.227201.
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Morampudi, Siddhardh C., Turner, Ari M., Pollmann, Frank, and Wilczek, Frank. Wed . "Statistics of Fractionalized Excitations through Threshold Spectroscopy". United States. doi:10.1103/physrevlett.118.227201. https://www.osti.gov/servlets/purl/1505576.
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@article{osti_1505576,
title = {Statistics of Fractionalized Excitations through Threshold Spectroscopy},
author = {Morampudi, Siddhardh C. and Turner, Ari M. and Pollmann, Frank and Wilczek, Frank},
abstractNote = {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.},
doi = {10.1103/physrevlett.118.227201},
journal = {Physical Review Letters},
number = 22,
volume = 118,
place = {United States},
year = {2017},
month = {5}
}
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Journal Article:
Free Publicly Available Full Text
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DOI:  10.1103/physrevlett.118.227201
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Cited by: 3 works
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Figures / Tables:

FIG. 1 FIG. 1: (a) In phases with topological order, scattering processes can create fractionalized anyonic excitations above some threshold energy. (b) The statistics of the excitations mediate long-range effects between them.
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