Direct observation of anyonic braiding statistics
Abstract
Anyons are quasiparticles that, unlike fermions and bosons, show fractional statistics when two of them are exchanged. Here, we report experimental observation of anyonic braiding statisticsfor the ν 1/3 fractional quantum Hall state using a device that is equivalent to a Fabry-Perot interferometer. Strong Aharonov-Bohm interference of the edge mode is punctuated by discrete phase slips that indicate an anyonic phase of $$\theta$$anyon = 2π/3. Here, our results are consistent with a recent theory for an interferometer operated in a regime in which device charging energy is small compared to the energy of formation of charged quasiparticles, indicating that we have observed anyonic braiding.
- Publication Date:
- Research Org.:
- Purdue Univ., West Lafayette, IN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1656816
- Grant/Contract Number:
- SC0020138
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nature Physics
- Additional Journal Information:
- Journal Volume: 16; Journal Issue: 9; Journal ID: ISSN 1745-2473
- Publisher:
- Nature Publishing Group (NPG)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Nakamura, James, Liang, Shuang, Gardner, Geoffrey C., and Manfra, Michael J. Direct observation of anyonic braiding statistics. United States: N. p., 2020.
Web. doi:10.1038/s41567-020-1019-1.
Nakamura, James, Liang, Shuang, Gardner, Geoffrey C., & Manfra, Michael J. Direct observation of anyonic braiding statistics. United States. https://doi.org/10.1038/s41567-020-1019-1
Nakamura, James, Liang, Shuang, Gardner, Geoffrey C., and Manfra, Michael J. Thu .
"Direct observation of anyonic braiding statistics". United States. https://doi.org/10.1038/s41567-020-1019-1. https://www.osti.gov/servlets/purl/1656816.
@article{osti_1656816,
title = {Direct observation of anyonic braiding statistics},
author = {Nakamura, James and Liang, Shuang and Gardner, Geoffrey C. and Manfra, Michael J.},
abstractNote = {Anyons are quasiparticles that, unlike fermions and bosons, show fractional statistics when two of them are exchanged. Here, we report experimental observation of anyonic braiding statisticsfor the ν 1/3 fractional quantum Hall state using a device that is equivalent to a Fabry-Perot interferometer. Strong Aharonov-Bohm interference of the edge mode is punctuated by discrete phase slips that indicate an anyonic phase of $\theta$anyon = 2π/3. Here, our results are consistent with a recent theory for an interferometer operated in a regime in which device charging energy is small compared to the energy of formation of charged quasiparticles, indicating that we have observed anyonic braiding.},
doi = {10.1038/s41567-020-1019-1},
journal = {Nature Physics},
number = 9,
volume = 16,
place = {United States},
year = {Thu Sep 03 00:00:00 EDT 2020},
month = {Thu Sep 03 00:00:00 EDT 2020}
}
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Works referenced in this record:
Optimization of edge state velocity in the integer quantum Hall regime
journal, February 2018
- Sahasrabudhe, H.; Novakovic, B.; Nakamura, J.
- Physical Review B, Vol. 97, Issue 8
Aharonov–Bohm interference of fractional quantum Hall edge modes
journal, March 2019
- Nakamura, J.; Fallahi, S.; Sahasrabudhe, H.
- Nature Physics, Vol. 15, Issue 6
Flux Superperiods and Periodicity Transitions in Quantum Hall Interferometers
journal, March 2020
- Rosenow, Bernd; Stern, Ady
- Physical Review Letters, Vol. 124, 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
Interference, Coulomb blockade, and the identification of non-Abelian quantum Hall states
journal, August 2010
- Stern, Ady; Rosenow, Bernd; Ilan, Roni
- Physical Review B, Vol. 82, Issue 8
Proposed Experiments to Probe the Non-Abelian Quantum Hall State
journal, January 2006
- Stern, Ady; Halperin, Bertrand I.
- Physical Review Letters, Vol. 96, Issue 1
Charge and statistics of quantum Hall quasi-particles — a numerical study of mean values and fluctuations
journal, October 1999
- Kjønsberg, H.; Leinaas, J. M.
- Nuclear Physics B, Vol. 559, Issue 3
Detecting Non-Abelian Statistics in the Fractional Quantum Hall State
journal, January 2006
- Bonderson, Parsa; Kitaev, Alexei; Shtengel, Kirill
- Physical Review Letters, Vol. 96, Issue 1
Berry phases for composite fermions: Effective magnetic field and fractional statistics
journal, September 2004
- Jeon, Gun Sang; Graham, Kenneth L.; Jain, Jainendra K.
- Physical Review B, Vol. 70, Issue 12
Observation of neutral modes in the fractional quantum Hall regime
journal, July 2010
- Bid, Aveek; Ofek, N.; Inoue, H.
- Nature, Vol. 466, Issue 7306
Resonant Tunneling in the Quantum Hall Regime: Measurement of Fractional Charge
journal, February 1995
- Goldman, V. J.; Su, B.
- Science, Vol. 267, Issue 5200
Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential
journal, February 1982
- Halperin, B. I.
- Physical Review B, Vol. 25, Issue 4
Interferometric signature of non-Abelian anyons
journal, October 2009
- Bishara, Waheb; Bonderson, Parsa; Nayak, Chetan
- Physical Review B, Vol. 80, Issue 15
Theory of the Fabry-Pérot quantum Hall interferometer
journal, April 2011
- Halperin, Bertrand I.; Stern, Ady; Neder, Izhar
- Physical Review B, Vol. 83, Issue 15
Two point-contact interferometer for quantum Hall systems
journal, January 1997
- de C. Chamon, C.; Freed, D. E.; Kivelson, S. A.
- Physical Review B, Vol. 55, Issue 4
Observation of interaction-induced modulations of a quantum Hall liquid’s area
journal, July 2016
- Sivan, I.; Choi, H. K.; Park, Jinhong
- Nature Communications, Vol. 7, Issue 1
Experimental realization of a Fabry-Perot-type interferometer by copropagating edge states in the quantum Hall regime
journal, April 2008
- Deviatov, E. V.; Lorke, A.
- Physical Review B, Vol. 77, Issue 16
Fractional statistics in anyon collisions
journal, April 2020
- Bartolomei, H.; Kumar, M.; Bisognin, R.
- Science, Vol. 368, Issue 6487
Direct observation of a fractional charge
journal, September 1997
- de-Picciotto, R.; Reznikov, M.; Heiblum, M.
- Nature, Vol. 389, Issue 6647
Fractional Statistics and the Quantum Hall Effect
journal, August 1984
- Arovas, Daniel; Schrieffer, J. R.; Wilczek, Frank
- Physical Review Letters, Vol. 53, Issue 7
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
Topologically Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
journal, April 2005
- Das Sarma, Sankar; Freedman, Michael; Nayak, Chetan
- Physical Review Letters, Vol. 94, Issue 16
Edge-channel interference controlled by Landau level filling
journal, August 2008
- Litvin, L. V.; Helzel, A.; Tranitz, H. -P.
- Physical Review B, Vol. 78, Issue 7
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
Observation of quantum Hall interferometer phase jumps due to a change in the number of bulk quasiparticles
journal, March 2020
- Röösli, Marc P.; Brem, Lars; Kratochwil, Benedikt
- Physical Review B, Vol. 101, Issue 12
Aharanov-Bohm Interference and Fractional Statistics in a Quantum Hall Interferometer
journal, November 2006
- Kim, Eun-Ah
- Physical Review Letters, Vol. 97, Issue 21
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
journal, May 1983
- Laughlin, R. B.
- Physical Review Letters, Vol. 50, Issue 18
Incompressible states of the fractionally quantized Hall effect in the presence of impurities: A finite-size study
journal, November 1985
- Rezayi, E. H.; Haldane, F. D. M.
- Physical Review B, Vol. 32, Issue 10
Suppression of Interference in Quantum Hall Mach-Zehnder Geometry by Upstream Neutral Modes
journal, December 2016
- Goldstein, Moshe; Gefen, Yuval
- Physical Review Letters, Vol. 117, Issue 27
Robust electron pairing in the integer quantum hall effect regime
journal, June 2015
- Choi, H. K.; Sivan, I.; Rosenblatt, A.
- Nature Communications, Vol. 6, Issue 1
Edge-mode velocities and thermal coherence of quantum Hall interferometers
journal, December 2009
- Hu, Zi-Xiang; Rezayi, E. H.; Wan, Xin
- Physical Review B, Vol. 80, Issue 23
Observation of the Fractionally Charged Laughlin Quasiparticle
journal, September 1997
- Saminadayar, L.; Glattli, D. C.; Jin, Y.
- Physical Review Letters, Vol. 79, Issue 13
Topological Quantum Computation--From Basic Concepts to First Experiments
journal, March 2013
- Stern, A.; Lindner, N. H.
- Science, Vol. 339, Issue 6124
Molecular Beam Epitaxy of Ultra-High-Quality AlGaAs/GaAs Heterostructures: Enabling Physics in Low-Dimensional Electronic Systems
journal, March 2014
- Manfra, Michael J.
- Annual Review of Condensed Matter Physics, Vol. 5, Issue 1
Electron interferometry in the quantum Hall regime: Aharonov-Bohm effect of interacting electrons
journal, September 2009
- Lin, Ping V.; Camino, F. E.; Goldman, V. J.
- Physical Review B, Vol. 80, Issue 12
Topological dephasing in the fractional quantum Hall regime
journal, December 2015
- Park, Jinhong; Gefen, Yuval; Sim, H. -S.
- Physical Review B, Vol. 92, Issue 24
Experimental evidence for new particles in the fractional quantum Hall effect
journal, May 1993
- Du, R. R.; Stormer, H. L.; Tsui, D. C.
- Physical Review Letters, Vol. 70, Issue 19
Role of interactions in an electronic Fabry-Perot interferometer operating in the quantum Hall effect regime
journal, March 2010
- Ofek, N.; Bid, A.; Heiblum, M.
- Proceedings of the National Academy of Sciences, Vol. 107, Issue 12
Fabry-Perot Interferometry with Fractional Charges
journal, June 2012
- McClure, D. T.; Chang, W.; Marcus, C. M.
- Physical Review Letters, Vol. 108, Issue 25
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
Enhanced Bulk-Edge Coulomb Coupling in Fractional Fabry-Perot Interferometers
journal, September 2015
- von Keyserlingk, C. W.; Simon, S. H.; Rosenow, Bernd
- Physical Review Letters, Vol. 115, Issue 12
Influence of Interactions on Flux and Back-Gate Period of Quantum Hall Interferometers
journal, March 2007
- Rosenow, B.; Halperin, B. I.
- Physical Review Letters, Vol. 98, Issue 10
Dephasing of an electronic two-path interferometer
journal, March 2016
- Gurman, Itamar; Sabo, Ron; Heiblum, Moty
- Physical Review B, Vol. 93, Issue 12
Edge-State Velocity and Coherence in a Quantum Hall Fabry-Pérot Interferometer
journal, November 2009
- McClure, D. T.; Zhang, Yiming; Rosenow, B.
- Physical Review Letters, Vol. 103, Issue 20
Semiclassical theory of localized many-anyon states
journal, December 1990
- Kivelson, Steven
- Physical Review Letters, Vol. 65, Issue 27
Distinct signatures for Coulomb blockade and Aharonov-Bohm interference in electronic Fabry-Perot interferometers
journal, June 2009
- Zhang, Yiming; McClure, D. T.; Levenson-Falk, E. M.
- Physical Review B, Vol. 79, Issue 24
Melting of Interference in the Fractional Quantum Hall Effect: Appearance of Neutral Modes
journal, June 2019
- Bhattacharyya, Rajarshi; Banerjee, Mitali; Heiblum, Moty
- Physical Review Letters, Vol. 122, Issue 24
Disorder and the fractional quantum Hall effect: Activation energies and the collapse of the gap
journal, March 1986
- MacDonald, A. H.; Liu, K. L.; Girvin, S. M.
- Physical Review B, Vol. 33, Issue 6
Modified MBE hardware and techniques and role of gallium purity for attainment of two dimensional electron gas mobility >35×106cm2/V s in AlGaAs/GaAs quantum wells grown by MBE
journal, May 2016
- Gardner, Geoffrey C.; Fallahi, Saeed; Watson, John D.
- Journal of Crystal Growth, Vol. 441
Telegraph noise and the Fabry-Perot quantum Hall interferometer
journal, May 2012
- Rosenow, B.; Simon, Steven H.
- Physical Review B, Vol. 85, Issue 20
Proliferation of neutral modes in fractional quantum Hall states
journal, June 2014
- Inoue, Hiroyuki; Grivnin, Anna; Ronen, Yuval
- Nature Communications, Vol. 5, Issue 1
Fractional Statistics in the Fractional Quantum Hall Effect
journal, July 2003
- Jeon, Gun Sang; Graham, Kenneth L.; Jain, Jainendra K.
- Physical Review Letters, Vol. 91, Issue 3
Edge reconstruction in fractional quantum Hall states
journal, January 2017
- Sabo, Ron; Gurman, Itamar; Rosenblatt, Amir
- Nature Physics, Vol. 13, Issue 5
Theory of fractional quantum Hall interferometers
journal, December 2012
- Levkivskyi, Ivan P.; Fröhlich, Jürg; Sukhorukov, Eugene V.
- Physical Review B, Vol. 86, Issue 24