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:
-
- Max-Planck-Inst. für Physik komplexer Systeme, Dresden (Germany)
- Technion-Israel Inst. of Tech., Haifa (Israel); Johns Hopkins Univ., Baltimore, MD (United States)
- Max-Planck-Inst. für Physik komplexer Systeme, Dresden (Germany); Technische Univ. Munchen, Garching (Germany)
- 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)
- 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.
Morampudi, Siddhardh C., Turner, Ari M., Pollmann, Frank, & Wilczek, Frank. Statistics of Fractionalized Excitations through Threshold Spectroscopy. United States. https://doi.org/10.1103/physrevlett.118.227201
Morampudi, Siddhardh C., Turner, Ari M., Pollmann, Frank, and Wilczek, Frank. Wed .
"Statistics of Fractionalized Excitations through Threshold Spectroscopy". United States. https://doi.org/10.1103/physrevlett.118.227201. https://www.osti.gov/servlets/purl/1505576.
@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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Cited by: 18 works
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Figures / Tables:
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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Works referenced in this record:
Classifying fractionalization: Symmetry classification of gapped spin liquids in two dimensions
journal, March 2013
- Essin, Andrew M.; Hermele, Michael
- Physical Review B, Vol. 87, Issue 10
Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States
journal, April 1984
- Halperin, B. I.
- Physical Review Letters, Vol. 52, Issue 18
Quantum orders and symmetric spin liquids
journal, April 2002
- Wen, Xiao-Gang
- Physical Review B, Vol. 65, Issue 16
Numerical study of a transition between topologically ordered phases
journal, July 2014
- Morampudi, Siddhardh C.; von Keyserlingk, Curt; Pollmann, Frank
- Physical Review B, Vol. 90, Issue 3
Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model
journal, February 2001
- Moessner, R.; Sondhi, S. L.
- Physical Review Letters, Vol. 86, Issue 9
Equivalence of the resonating-valence-bond and fractional quantum Hall states
journal, November 1987
- Kalmeyer, V.; Laughlin, R. B.
- Physical Review Letters, Vol. 59, Issue 18
On the Behavior of Cross Sections Near Thresholds
journal, May 1948
- Wigner, Eugene P.
- Physical Review, Vol. 73, Issue 9
Topological Characterization of Fractional Quantum Hall Ground States from Microscopic Hamiltonians
journal, June 2013
- Zaletel, Michael P.; Mong, Roger S. K.; Pollmann, Frank
- Physical Review Letters, Vol. 110, Issue 23
Magnetic Flux, Angular Momentum, and Statistics
journal, April 1982
- Wilczek, Frank
- Physical Review Letters, Vol. 48, Issue 17
Thermopower as a possible probe of non-Abelian quasiparticle statistics in fractional quantum Hall liquids
journal, March 2009
- Yang, Kun; Halperin, Bertrand I.
- Physical Review B, Vol. 79, Issue 11
The nature of the three-anyon wave functions
journal, April 1995
- Mashkevich, Stefan; Myrheim, Jan; Olaussen, Kåre
- Physics Letters B, Vol. 348, Issue 3-4
Detecting Chiral Edge States in the Hofstadter Optical Lattice
journal, June 2012
- Goldman, Nathan; Beugnon, Jérôme; Gerbier, Fabrice
- Physical Review Letters, Vol. 108, Issue 25
Quantum spin liquids in the absence of spin-rotation symmetry: Application to herbertsmithite
journal, December 2013
- Dodds, Tyler; Bhattacharjee, Subhro; Kim, Yong Baek
- Physical Review B, Vol. 88, Issue 22
Detecting Topological Order in a Ground State Wave Function
journal, March 2006
- Levin, Michael; Wen, Xiao-Gang
- Physical Review Letters, Vol. 96, Issue 11
Topological Entanglement Entropy
journal, March 2006
- Kitaev, Alexei; Preskill, John
- Physical Review Letters, Vol. 96, Issue 11
Dynamics and Transport of the Spin Liquid: Application to
journal, April 2009
- Qi, Yang; Xu, Cenke; Sachdev, Subir
- Physical Review Letters, Vol. 102, Issue 17
Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
journal, August 2005
- Camino, F. E.; Zhou, Wei; Goldman, V. J.
- Physical Review B, Vol. 72, Issue 7
Quantum Mechanics of Fractional-Spin Particles
journal, October 1982
- Wilczek, Frank
- Physical Review Letters, Vol. 49, Issue 14
Interferometry of non-Abelian anyons
journal, November 2008
- Bonderson, Parsa; Shtengel, Kirill; Slingerland, J. K.
- Annals of Physics, Vol. 323, Issue 11
Kagome´- and triangular-lattice Heisenberg antiferromagnets: Ordering from quantum fluctuations and quantum-disordered ground states with unconfined bosonic spinons
journal, June 1992
- Sachdev, Subir
- Physical Review B, Vol. 45, Issue 21
Observable Bulk Signatures of Non-Abelian Quantum Hall States
journal, April 2009
- Cooper, N. R.; Stern, Ady
- Physical Review Letters, Vol. 102, Issue 17
Statistical mechanics of anyons
journal, January 1985
- Arovas, Daniel P.; Schrieffer, Robert; Wilczek, Frank
- Nuclear Physics B, Vol. 251
Flux quantization for semions on a torus
journal, November 1993
- Kallin, C.
- Physical Review B, Vol. 48, Issue 18
Quasiparticle statistics and braiding from ground-state entanglement
journal, June 2012
- Zhang, Yi; Grover, Tarun; Turner, Ari
- Physical Review B, Vol. 85, Issue 23
Anyons on a torus
journal, October 1990
- Wen, X. G.; Dagotto, E.; Fradkin, E.
- Physical Review B, Vol. 42, Issue 10
Measurement of filling factor 5/2 quasiparticle interference with observation of charge e/4 and e/2 period oscillations
journal, May 2009
- Willett, R. L.; Pfeiffer, L. N.; West, K. W.
- Proceedings of the National Academy of Sciences, Vol. 106, Issue 22
The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987
- Anderson, P. W.
- Science, Vol. 235, Issue 4793
Universal Wave-Function Overlap and Universal Topological Data from Generic Gapped Ground States
journal, July 2015
- Moradi, Heidar; Wen, Xiao-Gang
- Physical Review Letters, Vol. 115, Issue 3
Adiabatic Cooling with Non-Abelian Anyons
journal, August 2010
- Gervais, G.; Yang, Kun
- Physical Review Letters, Vol. 105, Issue 8
Fractional statistics on a torus
journal, April 1990
- Einarsson, Torbjörn
- Physical Review Letters, Vol. 64, Issue 17
Topology of the resonating valence-bond state: Solitons and high- superconductivity
journal, June 1987
- Kivelson, Steven A.; Rokhsar, Daniel S.; Sethna, James P.
- Physical Review B, Vol. 35, Issue 16
Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
journal, October 2010
- Chen, Xie; Gu, Zheng-Cheng; Wen, Xiao-Gang
- Physical Review B, Vol. 82, Issue 15
Statistics of the excitations of the resonating-valence-bond state
journal, October 1989
- Read, N.; Chakraborty, B.
- Physical Review B, Vol. 40, Issue 10
Fractional Quantum Hall States at Zero Magnetic Field
journal, June 2011
- Neupert, Titus; Santos, Luiz; Chamon, Claudio
- Physical Review Letters, Vol. 106, Issue 23
Two-Dimensional Magnetotransport in the Extreme Quantum Limit
journal, May 1982
- Tsui, D. C.; Stormer, H. L.; Gossard, A. C.
- Physical Review Letters, Vol. 48, Issue 22
High-Temperature Fractional Quantum Hall States
journal, June 2011
- Tang, Evelyn; Mei, Jia-Wei; Wen, Xiao-Gang
- Physical Review Letters, Vol. 106, Issue 23
Detecting Non-Abelian Anyons by Charging Spectroscopy
journal, March 2013
- Ben-Shach, G.; Laumann, C. R.; Neder, I.
- Physical Review Letters, Vol. 110, Issue 10
Chiral spin states and superconductivity
journal, June 1989
- Wen, X. G.; Wilczek, Frank; Zee, A.
- Physical Review B, Vol. 39, Issue 16
Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice
journal, March 2014
- Punk, Matthias; Chowdhury, Debanjan; Sachdev, Subir
- Nature Physics, Vol. 10, Issue 4
Probing excitations in insulators via injection of spin currents
journal, October 2015
- Chatterjee, Shubhayu; Sachdev, Subir
- Physical Review B, Vol. 92, Issue 16
Topological Orders in Rigid States
journal, February 1990
- Wen, X. G.
- International Journal of Modern Physics B, Vol. 04, Issue 02
Multiparticle Quantum Mechanics Obeying Fractional Statistics
journal, July 1984
- Wu, Yong-Shi
- Physical Review Letters, Vol. 53, Issue 2
On the theory of identical particles
journal, January 1977
- Leinaas, J. M.; Myrheim, J.
- Il Nuovo Cimento B Series 11, Vol. 37, Issue 1
Non-Abelian anyons and topological quantum computation
journal, September 2008
- Nayak, Chetan; Simon, Steven H.; Stern, Ady
- Reviews of Modern Physics, Vol. 80, Issue 3
Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet
journal, December 2012
- Han, Tian-Heng; Helton, Joel S.; Chu, Shaoyan
- Nature, Vol. 492, Issue 7429
Characterizing Topological Order by Studying the Ground States on an Infinite Cylinder
journal, February 2013
- Cincio, L.; Vidal, G.
- Physical Review Letters, Vol. 110, Issue 6
Correlators and Fractional Statistics in the Quantum Hall Bulk
journal, November 2007
- Vishveshwara, Smitha; Stone, Michael; Sen, Diptiman
- Physical Review Letters, Vol. 99, Issue 19
Disorder-induced Majorana metal in interacting non-Abelian anyon systems
journal, April 2012
- Laumann, Chris R.; Ludwig, Andreas W. W.; Huse, David A.
- Physical Review B, Vol. 85, Issue 16
Spectroscopy of a topological phase
journal, January 2014
- Kamfor, Michael; Dusuel, Sébastien; Vidal, Julien
- Physical Review B, Vol. 89, Issue 4
Correlations and beam splitters for quantum Hall anyons
journal, May 2010
- Vishveshwara, Smitha; Cooper, N. R.
- Physical Review B, Vol. 81, Issue 20
Realizing Fractional Chern Insulators in Dipolar Spin Systems
journal, April 2013
- Yao, N. Y.; Gorshkov, A. V.; Laumann, C. R.
- Physical Review Letters, Vol. 110, Issue 18
Fractional quantum Hall effect in the absence of Landau levels
journal, July 2011
- Sheng, D. N.; Gu, Zheng-Cheng; Sun, Kai
- Nature Communications, Vol. 2, Issue 1
Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States
journal, June 1984
- Halperin, B. I.
- Physical Review Letters, Vol. 52, Issue 26
Multiparticle Quantum Mechanics Obeying Fractional Statistics
journal, September 1984
- Wu, Yong-Shi
- Physical Review Letters, Vol. 53, Issue 10
Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model
text, January 2001
- Moessner, R.; Sondhi, S. L.
- The American Physical Society
Non-Abelian Anyons and Topological Quantum Computation
text, January 2007
- Nayak, Chetan; Simon, Steven H.; Stern, Ady
- arXiv
Interferometry of non-Abelian Anyons
text, January 2007
- Bonderson, Parsa; Shtengel, Kirill; Slingerland, J. K.
- arXiv
Measurement of filling factor 5/2 quasiparticle interference: observation of charge e/4 and e/2 period oscillations
text, January 2008
- Willett, R. L.; Pfeiffer, L. N.; West, K. W.
- arXiv
Observable Bulk Signatures of Non-Abelian Quantum Hall States
text, January 2008
- Cooper, N. R.; Stern, Ady
- arXiv
Correlations and beam splitters for quantum Hall anyons
text, January 2009
- Vishveshwara, Smitha; Cooper, N. R.
- arXiv
Fractional quantum Hall effect in the absence of Landau levels
text, January 2011
- Sheng, D. N.; Gu, Zheng-Cheng; Sun, Kai
- arXiv
Quasi-particle Statistics and Braiding from Ground State Entanglement
text, January 2011
- Zhang, Yi; Grover, Tarun; Turner, Ari
- arXiv
Detecting Chiral Edge States in the Hofstadter Optical Lattice
text, January 2012
- Goldman, Nathan; Beugnon, Jerome; Gerbier, Fabrice
- arXiv
Characterizing topological order by studying the ground states of an infinite cylinder
text, January 2012
- Cincio, Lukasz; Vidal, Guifre
- arXiv
Topological characterization of fractional quantum Hall ground states from microscopic Hamiltonians
text, January 2012
- Zaletel, Michael P.; Mong, Roger S. K.; Pollmann, Frank
- arXiv
Detecting Non-Abelian Anyons by Charging Spectroscopy
text, January 2012
- Ben-Shach, Gilad; Laumann, Chris R.; Neder, Izhar
- arXiv
Quantum spin liquids in the absence of spin-rotation symmetry: application to Herbertsmithite
text, January 2013
- Dodds, Tyler; Bhattacharjee, Subhro; Kim, Yong Baek
- arXiv
Universal Wave Function Overlap and Universal Topological Data from Generic Gapped Ground States
text, January 2014
- Moradi, Heidar; Wen, Xiao-Gang
- arXiv
Numerical study of a transition between Z2 topologically ordered phases
text, January 2014
- Morampudi, Siddhardh C.; von Keyserlingk, Curt; Pollmann, Frank
- arXiv
Probing excitations in insulators via injection of spin-currents
text, January 2015
- Chatterjee, Shubhayu; Sachdev, Subir
- arXiv
Works referencing / citing this record:
A quantum dipolar spin liquid
journal, February 2018
- Yao, N. Y.; Zaletel, M. P.; Stamper-Kurn, D. M.
- Nature Physics, Vol. 14, Issue 4
Flux-driven quantum spin liquids in kagome optical lattices
journal, November 2019
- Hui, Hoi-Yin; Chen, Mengsu; Tewari, Sumanta
- Physical Review A, Vol. 100, Issue 5
Dynamical and topological properties of the Kitaev model in a [111] magnetic field
journal, July 2018
- Gohlke, Matthias; Moessner, Roderich; Pollmann, Frank
- Physical Review B, Vol. 98, Issue 1
Diagnosing Fractionalization from the Spin Dynamics of Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations
journal, August 2018
- Becker, Jonas; Wessel, Stefan
- Physical Review Letters, Vol. 121, Issue 7
Spectroscopy of Spinons in Coulomb Quantum Spin Liquids
journal, March 2020
- Morampudi, Siddhardh C.; Wilczek, Frank; Laumann, Chris R.
- Physical Review Letters, Vol. 124, Issue 9
A Quantum Dipolar Spin Liquid
text, January 2015
- Yao, Norman Y.; Zaletel, Michael P.; Stamper-Kurn, Dan M.
- arXiv
Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
text, January 2018
- Gohlke, Matthias; Moessner, Roderich; Pollmann, Frank
- arXiv
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