Fractionally charged skyrmions in fractional quantum Hall effect

Balram, Ajit C.; Wurstbauer, U.; Wójs, A.; Pinczuk, A.; Jain, J. K.

doi:10.1038/ncomms9981

Fractionally charged skyrmions in fractional quantum Hall effect

Journal Article · Wed Nov 25 23:00:00 EST 2015 · Nature Communications

DOI:https://doi.org/10.1038/ncomms9981· OSTI ID:1239802

Balram, Ajit C. ^[1]; Wurstbauer, U. ^[2]; Wójs, A. ^[3]; Pinczuk, A. ^[4]; Jain, J. K. ^[5]

Pennsylvania State Univ., State College, PA (United States); Penn State University, University Park, PA USA
Technical Univ. of Munchen (Germany); Nanosystems Initiative Munich (NIM) (Germany)
Univ. of Wroclaw (Poland)
Columbia Univ., New York, NY (United States)
Pennsylvania State Univ., State College, PA (United States)

The fractional quantum Hall effect has inspired searches for exotic emergent topological particles, such as fractionally charged excitations, composite fermions, abelian and nonabelian anyons and Majorana fermions. Fractionally charged skyrmions, which support both topological charge and topological vortex-like spin structure, have also been predicted to occur in the vicinity of 1/3 filling of the lowest Landau level. The fractional skyrmions, however, are anticipated to be exceedingly fragile, suppressed by very small Zeeman energies. Here we show that, slightly away from 1/3 filling, the smallest manifestations of the fractional skyrmion exist in the excitation spectrum for a broad range of Zeeman energies, and appear in resonant inelastic light scattering experiments as well-defined resonances slightly below the long wavelength spin wave mode. The spectroscopy of these exotic bound states serves as a sensitive tool for investigating the residual interaction between composite fermions, responsible for delicate new fractional quantum Hall states in this filling factor region.

View Accepted Manuscript (DOE)

Research Organization:: Penn State University, University Park, PA (United States). Department of Physics

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0005042

OSTI ID:: 1239802

Journal Information:: Nature Communications, Journal Name: Nature Communications Vol. 6; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

References (73)

Charged spin-texture excitations and the Hartree-Fock approximation in the quantum Hall effect Fertig, H. A.; Brey, L.; Côté, R. Physical Review B, Vol. 50, Issue 15 https://doi.org/10.1103/physrevb.50.11018	journal	October 1994
Spin Texture and Magnetoroton Excitations at ν = 1 / 3 Groshaus, Javier G.; Dujovne, Irene; Gallais, Yann Physical Review Letters, Vol. 100, Issue 4 https://doi.org/10.1103/physrevlett.100.046804	journal	January 2008
Possible Anti-Pfaffian Pairing of Composite Fermions at ν = 3 / 8 Mukherjee, Sutirtha; Mandal, Sudhansu S.; Wójs, Arkadiusz Physical Review Letters, Vol. 109, Issue 25 https://doi.org/10.1103/physrevlett.109.256801	journal	December 2012
Fractional Quantum Hall Effect and Wigner Crystal of Interacting Composite Fermions Liu, Yang; Kamburov, D.; Hasdemir, S. Physical Review Letters, Vol. 113, Issue 24 https://doi.org/10.1103/physrevlett.113.246803	journal	December 2014
Composite-fermion approach for the fractional quantum Hall effect Jain, J. K. Physical Review Letters, Vol. 63, Issue 2 https://doi.org/10.1103/physrevlett.63.199	journal	July 1989
Hamiltonian Theory of Disorder at 1/3 Murthy, Ganpathy arXiv https://doi.org/10.48550/arxiv.0904.2588	text	January 2009
Phase diagram of the Two-Component Fractional Quantum Hall Effect Archer, Alexander C.; Jain, Jainendra K. arXiv https://doi.org/10.48550/arxiv.1302.2680	text	January 2013
Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect Mukherjee, Sutirtha; Mandal, Sudhansu S.; Wu, Ying-Hai arXiv https://doi.org/10.48550/arxiv.1307.4168	text	January 2013
Anomalously low magnetoroton energies of the unconventional fractional quantum Hall states of composite fermions Mukherjee, Sutirtha; Mandal, Sudhansu S. arXiv https://doi.org/10.48550/arxiv.1411.6385	text	January 2014
Fractional Quantum Hall Effect of Composite Fermions Pan, W.; Stormer, H. L.; Tsui, D. C. arXiv https://doi.org/10.48550/arxiv.cond-mat/0303429	text	January 2003
Transport gap in a nu=1/3 quantum Hall system: a probe for skyrmions Dethlefsen, A. F.; Haug, R. J.; Vyborny, K. arXiv https://doi.org/10.48550/arxiv.cond-mat/0603455	text	January 2006
Evidence for Skyrmions and Single Spin Flips in the Integer Quantized Hall Effect Schmeller, A.; Eisenstein, J. P.; Pfeiffer, L. N. arXiv https://doi.org/10.48550/arxiv.cond-mat/9506133	text	January 1995
Skyrmions in the Fractional Quantum Hall Effect Kamilla, R. K.; Wu, X. G.; Jain, J. K. arXiv https://doi.org/10.48550/arxiv.cond-mat/9604022	text	January 1996
Skyrmions in the fractional quantum Hall effect Kamilla, R. K.; Wu, X. G.; Jain, J. K. Solid State Communications, Vol. 99, Issue 4 https://doi.org/10.1016/0038-1098(96)00126-3	journal	July 1996
Collective excitations of composite fermions across multiple Λ levels Majumder, Dwipesh; Mandal, Sudhansu S.; Jain, Jainendra K. Nature Physics, Vol. 5, Issue 6 https://doi.org/10.1038/nphys1275	journal	May 2009
Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies Sondhi, S. L.; Karlhede, A.; Kivelson, S. A. Physical Review B, Vol. 47, Issue 24 https://doi.org/10.1103/PhysRevB.47.16419	journal	June 1993
Charged spin-texture excitations and the Hartree-Fock approximation in the quantum Hall effect Fertig, H. A.; Brey, L.; Côté, R. Physical Review B, Vol. 50, Issue 15 https://doi.org/10.1103/PhysRevB.50.11018	journal	October 1994
Realistic calculations of correlated incompressible electronic states in GaAs- Al x Ga 1 − x As heterostructures and quantum wells Ortalano, M. W.; He, Song; Das Sarma, S. Physical Review B, Vol. 55, Issue 12 https://doi.org/10.1103/PhysRevB.55.7702	journal	March 1997
Rotons of composite fermions: Comparison between theory and experiment Scarola, Vito W.; Park, Kwon; Jain, Jainendra K. Physical Review B, Vol. 61, Issue 19 https://doi.org/10.1103/PhysRevB.61.13064	journal	May 2000
Low-energy spin rotons in the fractional quantum Hall effect Mandal, Sudhansu S.; Jain, J. K. Physical Review B, Vol. 63, Issue 20 https://doi.org/10.1103/PhysRevB.63.201310	journal	May 2001
Spin excitation spectra of integral and fractional quantum Hall systems Wójs, Arkadiusz; Quinn, John J. Physical Review B, Vol. 66, Issue 4 https://doi.org/10.1103/PhysRevB.66.045323	journal	July 2002
Theoretical search for the nested quantum Hall effect of composite fermions Mandal, Sudhansu S.; Jain, Jainendra K. Physical Review B, Vol. 66, Issue 15 https://doi.org/10.1103/PhysRevB.66.155302	journal	October 2002
Partially spin-polarized quantum Hall effect in the filling factor range 1 / 3 < ν < 2 / 5 Chang, Chia-Chen; Mandal, Sudhansu S.; Jain, Jainendra K. Physical Review B, Vol. 67, Issue 12 https://doi.org/10.1103/PhysRevB.67.121305	journal	March 2003
Fractional quantum Hall states of clustered composite fermions Wójs, Arkadiusz; Yi, Kyung-Soo; Quinn, John J. Physical Review B, Vol. 69, Issue 20 https://doi.org/10.1103/PhysRevB.69.205322	journal	May 2004
Spin-excitations of the quantum Hall ferromagnet of composite fermions Doretto, R. L.; Goerbig, M. O.; Lederer, P. Physical Review B, Vol. 72, Issue 3 https://doi.org/10.1103/PhysRevB.72.035341	journal	July 2005
Transport gap in a ν = 1 ∕ 3 quantum Hall system: A probe for skyrmions Dethlefsen, Annelene F.; Haug, Rolf J.; Výborný, Karel Physical Review B, Vol. 74, Issue 19 https://doi.org/10.1103/PhysRevB.74.195324	journal	November 2006
Phase diagram of fractional quantum Hall effect of composite fermions in multicomponent systems Balram, Ajit C.; Tőke, Csaba; Wójs, A. Physical Review B, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevB.91.045109	journal	January 2015
Spin Texture and Magnetoroton Excitations at ν = 1 / 3 Groshaus, Javier G.; Dujovne, Irene; Gallais, Yann Physical Review Letters, Vol. 100, Issue 4 https://doi.org/10.1103/PhysRevLett.100.046804	journal	January 2008
Hamiltonian Theory of Disorder at ν = 1 / 3 Murthy, Ganpathy Physical Review Letters, Vol. 103, Issue 20 https://doi.org/10.1103/PhysRevLett.103.206802	journal	November 2009
Possible Anti-Pfaffian Pairing of Composite Fermions at ν = 3 / 8 Mukherjee, Sutirtha; Mandal, Sudhansu S.; Wójs, Arkadiusz Physical Review Letters, Vol. 109, Issue 25 https://doi.org/10.1103/PhysRevLett.109.256801	journal	December 2012
Phase Diagram of the Two-Component Fractional Quantum Hall Effect Archer, Alexander C.; Jain, Jainendra K. Physical Review Letters, Vol. 110, Issue 24 https://doi.org/10.1103/PhysRevLett.110.246801	journal	June 2013
Enigmatic 4 / 11 State: A Prototype for Unconventional Fractional Quantum Hall Effect Mukherjee, Sutirtha; Mandal, Sudhansu S.; Wu, Ying-Hai Physical Review Letters, Vol. 112, Issue 1 https://doi.org/10.1103/PhysRevLett.112.016801	journal	January 2014
Fractional Quantum Hall Effect and Wigner Crystal of Interacting Composite Fermions Liu, Yang; Kamburov, D.; Hasdemir, S. Physical Review Letters, Vol. 113, Issue 24 https://doi.org/10.1103/PhysRevLett.113.246803	journal	December 2014
Anomalously Low Magnetoroton Energies of the Unconventional Fractional Quantum Hall States of Composite Fermions Mukherjee, Sutirtha; Mandal, Sudhansu S. Physical Review Letters, Vol. 114, Issue 15 https://doi.org/10.1103/PhysRevLett.114.156802	journal	April 2015
Two-Dimensional Magnetotransport in the Extreme Quantum Limit Tsui, D. C.; Stormer, H. L.; Gossard, A. C. Physical Review Letters, Vol. 48, Issue 22 https://doi.org/10.1103/PhysRevLett.48.1559	journal	May 1982
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations Laughlin, R. B. Physical Review Letters, Vol. 50, Issue 18 https://doi.org/10.1103/PhysRevLett.50.1395	journal	May 1983
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States Haldane, F. D. M. Physical Review Letters, Vol. 51, Issue 7 https://doi.org/10.1103/PhysRevLett.51.605	journal	August 1983
Composite-fermion approach for the fractional quantum Hall effect Jain, J. K. Physical Review Letters, Vol. 63, Issue 2 https://doi.org/10.1103/PhysRevLett.63.199	journal	July 1989
Optically Pumped NMR Evidence for Finite-Size Skyrmions in GaAs Quantum Wells near Landau Level Filling ν = 1 Barrett, S. E.; Dabbagh, G.; Pfeiffer, L. N. Physical Review Letters, Vol. 74, Issue 25 https://doi.org/10.1103/PhysRevLett.74.5112	journal	June 1995
Evidence for Skyrmions and Single Spin Flips in the Integer Quantized Hall Effect Schmeller, A.; Eisenstein, J. P.; Pfeiffer, L. N. Physical Review Letters, Vol. 75, Issue 23 https://doi.org/10.1103/PhysRevLett.75.4290	journal	December 1995
Fractional Quantum Hall Effect Measurements at Zero g Factor Leadley, D. R.; Nicholas, R. J.; Maude, D. K. Physical Review Letters, Vol. 79, Issue 21 https://doi.org/10.1103/PhysRevLett.79.4246	journal	November 1997
Fractional Quantum Hall Effect of Composite Fermions Pan, W.; Stormer, H. L.; Tsui, D. C. Physical Review Letters, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevLett.90.016801	journal	January 2003
Evidence of Landau Levels and Interactions in Low-Lying Excitations of Composite Fermions at 1 / 3 ≤ ν ≤ 2 / 5 Dujovne, Irene; Pinczuk, A.; Kang, Moonsoo Physical Review Letters, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevLett.90.036803	journal	January 2003
Transition from Free to Interacting Composite Fermions away from ν = 1 / 3 Gallais, Y.; Kirschenmann, T. H.; Dujovne, I. Physical Review Letters, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevLett.97.036804	journal	July 2006
Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies Sondhi, S. L.; Karlhede, A.; Kivelson, S. A. Physical Review B, Vol. 47, Issue 24 https://doi.org/10.1103/physrevb.47.16419	journal	June 1993
Realistic calculations of correlated incompressible electronic states in GaAs- Al x Ga 1 − x As heterostructures and quantum wells Ortalano, M. W.; He, Song; Das Sarma, S. Physical Review B, Vol. 55, Issue 12 https://doi.org/10.1103/physrevb.55.7702	journal	March 1997
Rotons of composite fermions: Comparison between theory and experiment Scarola, Vito W.; Park, Kwon; Jain, Jainendra K. Physical Review B, Vol. 61, Issue 19 https://doi.org/10.1103/physrevb.61.13064	journal	May 2000
Low-energy spin rotons in the fractional quantum Hall effect Mandal, Sudhansu S.; Jain, J. K. Physical Review B, Vol. 63, Issue 20 https://doi.org/10.1103/physrevb.63.201310	journal	May 2001
Spin excitation spectra of integral and fractional quantum Hall systems Wójs, Arkadiusz; Quinn, John J. Physical Review B, Vol. 66, Issue 4 https://doi.org/10.1103/physrevb.66.045323	journal	July 2002
Theoretical search for the nested quantum Hall effect of composite fermions Mandal, Sudhansu S.; Jain, Jainendra K. Physical Review B, Vol. 66, Issue 15 https://doi.org/10.1103/physrevb.66.155302	journal	October 2002
Partially spin-polarized quantum Hall effect in the filling factor range 1 / 3 < ν < 2 / 5 Chang, Chia-Chen; Mandal, Sudhansu S.; Jain, Jainendra K. Physical Review B, Vol. 67, Issue 12 https://doi.org/10.1103/physrevb.67.121305	journal	March 2003
Fractional quantum Hall states of clustered composite fermions Wójs, Arkadiusz; Yi, Kyung-Soo; Quinn, John J. Physical Review B, Vol. 69, Issue 20 https://doi.org/10.1103/physrevb.69.205322	journal	May 2004
Spin-excitations of the quantum Hall ferromagnet of composite fermions Doretto, R. L.; Goerbig, M. O.; Lederer, P. Physical Review B, Vol. 72, Issue 3 https://doi.org/10.1103/physrevb.72.035341	journal	July 2005
Transport gap in a ν = 1 ∕ 3 quantum Hall system: A probe for skyrmions Dethlefsen, Annelene F.; Haug, Rolf J.; Výborný, Karel Physical Review B, Vol. 74, Issue 19 https://doi.org/10.1103/physrevb.74.195324	journal	November 2006
Phase diagram of fractional quantum Hall effect of composite fermions in multicomponent systems Balram, Ajit C.; Tőke, Csaba; Wójs, A. Physical Review B, Vol. 91, Issue 4 https://doi.org/10.1103/physrevb.91.045109	journal	January 2015
Hamiltonian Theory of Disorder at ν = 1 / 3 Murthy, Ganpathy Physical Review Letters, Vol. 103, Issue 20 https://doi.org/10.1103/physrevlett.103.206802	journal	November 2009
Phase Diagram of the Two-Component Fractional Quantum Hall Effect Archer, Alexander C.; Jain, Jainendra K. Physical Review Letters, Vol. 110, Issue 24 https://doi.org/10.1103/physrevlett.110.246801	journal	June 2013
Enigmatic 4 / 11 State: A Prototype for Unconventional Fractional Quantum Hall Effect Mukherjee, Sutirtha; Mandal, Sudhansu S.; Wu, Ying-Hai Physical Review Letters, Vol. 112, Issue 1 https://doi.org/10.1103/physrevlett.112.016801	journal	January 2014
Anomalously Low Magnetoroton Energies of the Unconventional Fractional Quantum Hall States of Composite Fermions Mukherjee, Sutirtha; Mandal, Sudhansu S. Physical Review Letters, Vol. 114, Issue 15 https://doi.org/10.1103/physrevlett.114.156802	journal	April 2015
Two-Dimensional Magnetotransport in the Extreme Quantum Limit Tsui, D. C.; Stormer, H. L.; Gossard, A. C. Physical Review Letters, Vol. 48, Issue 22 https://doi.org/10.1103/physrevlett.48.1559	journal	May 1982
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations Laughlin, R. B. Physical Review Letters, Vol. 50, Issue 18 https://doi.org/10.1103/physrevlett.50.1395	journal	May 1983
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States Haldane, F. D. M. Physical Review Letters, Vol. 51, Issue 7 https://doi.org/10.1103/physrevlett.51.605	journal	August 1983
Optically Pumped NMR Evidence for Finite-Size Skyrmions in GaAs Quantum Wells near Landau Level Filling ν = 1 Barrett, S. E.; Dabbagh, G.; Pfeiffer, L. N. Physical Review Letters, Vol. 74, Issue 25 https://doi.org/10.1103/physrevlett.74.5112	journal	June 1995
Evidence for Skyrmions and Single Spin Flips in the Integer Quantized Hall Effect Schmeller, A.; Eisenstein, J. P.; Pfeiffer, L. N. Physical Review Letters, Vol. 75, Issue 23 https://doi.org/10.1103/physrevlett.75.4290	journal	December 1995
Fractional Quantum Hall Effect Measurements at Zero g Factor Leadley, D. R.; Nicholas, R. J.; Maude, D. K. Physical Review Letters, Vol. 79, Issue 21 https://doi.org/10.1103/physrevlett.79.4246	journal	November 1997
Fractional Quantum Hall Effect of Composite Fermions Pan, W.; Stormer, H. L.; Tsui, D. C. Physical Review Letters, Vol. 90, Issue 1 https://doi.org/10.1103/physrevlett.90.016801	journal	January 2003
Evidence of Landau Levels and Interactions in Low-Lying Excitations of Composite Fermions at 1 / 3 ≤ ν ≤ 2 / 5 Dujovne, Irene; Pinczuk, A.; Kang, Moonsoo Physical Review Letters, Vol. 90, Issue 3 https://doi.org/10.1103/physrevlett.90.036803	journal	January 2003
Transition from Free to Interacting Composite Fermions away from ν = 1 / 3 Gallais, Y.; Kirschenmann, T. H.; Dujovne, I. Physical Review Letters, Vol. 97, Issue 3 https://doi.org/10.1103/physrevlett.97.036804	journal	July 2006
Transport gap in a ν=1/3 quantum Hall system: A probe for skyrmions Dethlefsen, Annelene F.; Haug, Rolf J.; Výborný, Karel College Park, MD : American Physical Society https://doi.org/10.15488/2857	text	January 2006
Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems Balram, Ajit C.; Tőke, Csaba; Wójs, A. arXiv https://doi.org/10.48550/arxiv.1410.7447	text	January 2014
Theoretical Search for Nested Quantum Hall Effect of Composite Fermions Mandal, Sudhansu S.; Jain, Jainendra K. arXiv https://doi.org/10.48550/arxiv.cond-mat/0210181	text	January 2002
Spin-excitations of the quantum Hall ferromagnet of composite fermions Doretto, R. L.; Goerbig, M. O.; Lederer, P. arXiv https://doi.org/10.48550/arxiv.cond-mat/0408659	text	January 2004
Fractional Quantum Hall Effect Measurements at Zero g-Factor Leadley, D. R.; Nicholas, R. J.; Maude, D. K. arXiv https://doi.org/10.48550/arxiv.cond-mat/9706157	text	January 1997

Cited By (2)

Complete spin phase diagram of the fractional quantum Hall liquid Yoo, H. M.; Baldwin, K. W.; West, K. arXiv https://doi.org/10.48550/arxiv.1910.01109	text	January 2019
Interacting composite fermions: Nature of the 4/5, 5/7, 6/7, and 6/17 fractional quantum Hall states Balram, Ajit C. Physical Review B, Vol. 94, Issue 16 https://doi.org/10.1103/physrevb.94.165303	journal	October 2016

Similar Records

Fractional Statistics

Journal Article · Mon Mar 11 00:00:00 EDT 2024 · Annual Review of Condensed Matter Physics · OSTI ID:2580094

Even denominator fractional quantum Hall states in higher Landau levels of graphene

Journal Article · Sun Nov 25 23:00:00 EST 2018 · Nature Physics · OSTI ID:1489119

Non-Abelian Topological Order in s-Wave Superfluids of Ultracold Fermionic Atoms

Journal Article · Fri Jul 10 00:00:00 EDT 2009 · Physical Review Letters · OSTI ID:21347030

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS

Fractionally charged skyrmions in fractional quantum Hall effect

Citation Formats

References (73)

Cited By (2)

Similar Records

Related Subjects