Phase diagram of fractional quantum Hall effect of composite fermions in multicomponent systems

Balram, Ajit C.; Tőke, Csaba; Wójs, A.; Jain, J. K.

doi:10.1103/PhysRevB.91.045109

Title: Phase diagram of fractional quantum Hall effect of composite fermions in multicomponent systems

Journal Article · Fri Jan 09 00:00:00 EST 2015 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.91.045109· OSTI ID:1180302

Balram, Ajit C.; Tőke, Csaba; Wójs, A.; Jain, J. K.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0005042

OSTI ID:: 1180302

Journal Information:: Physical Review B, Journal Name: Physical Review B Vol. 91 Journal Issue: 4; ISSN 1098-0121

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 31 works

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References (59)

Fractional Quantum Hall Phase Transitions and Four-Flux States in Graphene Feldman, Benjamin E.; Levin, Andrei J.; Krauss, Benjamin Physical Review Letters, Vol. 111, Issue 7 https://doi.org/10.1103/PhysRevLett.111.076802	journal	August 2013
Multi-component fractional quantum Hall states in graphene: S U (4) versus S U (2) Tőke, C.; Jain, J. K. Journal of Physics: Condensed Matter, Vol. 24, Issue 23 https://doi.org/10.1088/0953-8984/24/23/235601	journal	May 2012
Fractional quantum Hall effect in graphene Tőke, Csaba; Lammert, Paul E.; Crespi, Vincent H. Physical Review B, Vol. 74, Issue 23 https://doi.org/10.1103/PhysRevB.74.235417	journal	December 2006
Unraveling the Spin Polarization of the = 5/2 Fractional Quantum Hall State Tiemann, L.; Gamez, G.; Kumada, N. Science, Vol. 335, Issue 6070 https://doi.org/10.1126/science.1216697	journal	January 2012
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
Phase Diagram of the Spin Polarization of Composite Fermions and a New Effective Mass Park, K.; Jain, J. K. Physical Review Letters, Vol. 80, Issue 19 https://doi.org/10.1103/PhysRevLett.80.4237	journal	May 1998
Observation of the fractional quantum Hall effect in graphene Bolotin, Kirill I.; Ghahari, Fereshte; Shulman, Michael D. Nature, Vol. 462, Issue 7270 https://doi.org/10.1038/nature08582	journal	November 2009
Fractional Quantum Hall Effect around $ν = \frac{3}{2}$ : Composite Fermions with a Spin Du, R. R.; Yeh, A. S.; Stormer, H. L. Physical Review Letters, Vol. 75, Issue 21 https://doi.org/10.1103/PhysRevLett.75.3926	journal	November 1995
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
Valley-degenerate two-dimensional electrons in the lowest Landau level Kott, Tomasz M.; Hu, Binhui; Brown, S. H. Physical Review B, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevB.89.041107	journal	January 2014
Spontaneous Magnetization of Composite Fermions Park, K.; Jain, J. K. Physical Review Letters, Vol. 83, Issue 26 https://doi.org/10.1103/PhysRevLett.83.5543	journal	December 1999
Possibility of p -wave pairing of composite fermions at $ν = \frac{1}{2}$ Park, K.; Melik-Alaverdian, V.; Bonesteel, N. E. Physical Review B, Vol. 58, Issue 16 https://doi.org/10.1103/PhysRevB.58.R10167	journal	October 1998
The spin physics of composite fermions Park, K.; Jain, J. K. Solid State Communications, Vol. 119, Issue 4-5 https://doi.org/10.1016/S0038-1098(01)00105-3	journal	July 2001
Theory of the half-filled Landau level Halperin, B. I.; Lee, Patrick A.; Read, Nicholas Physical Review B, Vol. 47, Issue 12 https://doi.org/10.1103/PhysRevB.47.7312	journal	March 1993
Microscopic wave functions for the fractional quantized Hall states at $ν = \frac{2}{5} and \frac{2}{7}$ Morf, R.; d'Ambrumenil, N.; Halperin, B. I. Physical Review B, Vol. 34, Issue 4 https://doi.org/10.1103/PhysRevB.34.3037	journal	August 1986
Particle-Hole Symmetry and the Pfaffian State Levin, Michael; Halperin, Bertrand I.; Rosenow, Bernd Physical Review Letters, Vol. 99, Issue 23 https://doi.org/10.1103/PhysRevLett.99.236806	journal	December 2007
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
Particle-Hole Symmetry and the $ν = \frac{5}{2}$ Quantum Hall State Lee, Sung-Sik; Ryu, Shinsei; Nayak, Chetan Physical Review Letters, Vol. 99, Issue 23 https://doi.org/10.1103/PhysRevLett.99.236807	journal	December 2007
Fractional quantum Hall effect and Chern-Simons gauge theories Lopez, Ana; Fradkin, Eduardo Physical Review B, Vol. 44, Issue 10 https://doi.org/10.1103/PhysRevB.44.5246	journal	September 1991
Spinful composite fermions in a negative effective field Davenport, Simon C.; Simon, Steven H. Physical Review B, Vol. 85, Issue 24 https://doi.org/10.1103/PhysRevB.85.245303	journal	June 2012
SU(4) composite fermions in graphene: Fractional quantum Hall states without analog in GaAs Tőke, Csaba; Jain, J. K. Physical Review B, Vol. 75, Issue 24 https://doi.org/10.1103/PhysRevB.75.245440	journal	June 2007
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
Broken SU(4) Symmetry and the Fractional Quantum Hall Effect in Graphene Sodemann, I.; MacDonald, A. H. Physical Review Letters, Vol. 112, Issue 12 https://doi.org/10.1103/PhysRevLett.112.126804	journal	March 2014
Fractional and integer quantum Hall effects in the zeroth Landau level in graphene Abanin, Dmitry A.; Feldman, Benjamin E.; Yacoby, Amir Physical Review B, Vol. 88, Issue 11 https://doi.org/10.1103/PhysRevB.88.115407	journal	September 2013
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
Analysis of a $SU (4)$ generalization of Halperin’s wave function as an approach towards a $SU (4)$ fractional quantum Hall effect in graphene sheets Goerbig, M. O.; Regnault, N. Physical Review B, Vol. 75, Issue 24 https://doi.org/10.1103/PhysRevB.75.241405	journal	June 2007
Nonabelions in the fractional quantum hall effect Moore, Gregory; Read, Nicholas Nuclear Physics B, Vol. 360, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90407-O	journal	August 1991
Quantitative study of large composite-fermion systems Jain, J. K.; Kamilla, R. K. Physical Review B, Vol. 55, Issue 8 https://doi.org/10.1103/PhysRevB.55.R4895	journal	February 1997
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
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
Observation of Nonconventional Spin Waves in Composite-Fermion Ferromagnets Wurstbauer, U.; Majumder, D.; Mandal, S. S. Physical Review Letters, Vol. 107, Issue 6 https://doi.org/10.1103/PhysRevLett.107.066804	journal	August 2011
Optical Investigation of Spin-Wave Excitations in Fractional Quantum Hall States and of Interaction between Composite Fermions Kukushkin, I. V.; Smet, J. H.; von Klitzing, K. Physical Review Letters, Vol. 85, Issue 17 https://doi.org/10.1103/PhysRevLett.85.3688	journal	October 2000
Neutral collective modes in spin-polarized fractional quantum Hall states at filling factors $\frac{1}{3}$ , $\frac{2}{5}$ , $\frac{3}{7}$ , and $\frac{4}{9}$ Majumder, Dwipesh; Mandal, Sudhansu S. Physical Review B, Vol. 90, Issue 15 https://doi.org/10.1103/PhysRevB.90.155310	journal	October 2014
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
Spin phase diagram of the $ν_{e} = 4 ∕ 11$ composite fermion liquid Wójs, Arkadiusz; Simion, George; Quinn, John J. Physical Review B, Vol. 75, Issue 15 https://doi.org/10.1103/PhysRevB.75.155318	journal	April 2007
Fractional Quantum Hall Effect at High Fillings in a Two-Subband Electron System Shabani, J.; Liu, Y.; Shayegan, M. Physical Review Letters, Vol. 105, Issue 24 https://doi.org/10.1103/PhysRevLett.105.246805	journal	December 2010
Spin Polarization of Composite Fermions: Measurements of the Fermi Energy Kukushkin, I. V.; v. Klitzing, K.; Eberl, K. Physical Review Letters, Vol. 82, Issue 18 https://doi.org/10.1103/PhysRevLett.82.3665	journal	May 1999
Theoretical study of even denominator fractions in graphene: Fermi sea versus paired states of composite fermions Tőke, Csaba; Jain, J. K. Physical Review B, Vol. 76, Issue 8 https://doi.org/10.1103/PhysRevB.76.081403	journal	August 2007
Possible realization of a chiral $p$ -wave paired state in a two-component system Mukherjee, Sutirtha; Jain, J. K.; Mandal, Sudhansu S. Physical Review B, Vol. 90, Issue 12 https://doi.org/10.1103/PhysRevB.90.121305	journal	September 2014
Multicomponent fractional quantum Hall effect in graphene Dean, C. R.; Young, A. F.; Cadden-Zimansky, P. Nature Physics, Vol. 7, Issue 9 https://doi.org/10.1038/nphys2007	journal	May 2011
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
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
dc Transport of Composite Fermions in Weak Periodic Potentials Smet, J. H.; von Klitzing, K.; Weiss, D. Physical Review Letters, Vol. 80, Issue 20 https://doi.org/10.1103/PhysRevLett.80.4538	journal	May 1998
Mixed-spin incompressible states in the fractional quantum Hall effect Wu, X. G.; Dev, G.; Jain, J. K. Physical Review Letters, Vol. 71, Issue 1 https://doi.org/10.1103/PhysRevLett.71.153	journal	July 1993
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
Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene Feldman, B. E.; Krauss, B.; Smet, J. H. Science, Vol. 337, Issue 6099 https://doi.org/10.1126/science.1224784	journal	September 2012
Mixed states of composite fermions carrying two and four vortices Park, K.; Jain, J. K. Physical Review B, Vol. 62, Issue 20 https://doi.org/10.1103/PhysRevB.62.R13274	journal	November 2000
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
Fractional quantum Hall effect at Landau level filling $ν = 4 / 11$ Pan, W.; Baldwin, K. W.; West, K. W. Physical Review B, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevB.91.041301	journal	January 2015
Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene Du, Xu; Skachko, Ivan; Duerr, Fabian Nature, Vol. 462, Issue 7270 https://doi.org/10.1038/nature08522	journal	October 2009
Composite Fermions Jain, Jainendra K. https://doi.org/10.1017/CBO9780511607561	book	January 2007
Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level Jain, J. K.; Kamilla, R. K. International Journal of Modern Physics B, Vol. 11, Issue 22 https://doi.org/10.1142/S0217979297001301	journal	September 1997
Higher-Energy Composite Fermion Levels in the Fractional Quantum Hall Effect Rhone, Trevor D.; Majumder, Dwipesh; Dennis, Brian S. Physical Review Letters, Vol. 106, Issue 9 https://doi.org/10.1103/PhysRevLett.106.096803	journal	March 2011
Band structure of the fractional quantum Hall effect Dev, Gautam; Jain, J. K. Physical Review Letters, Vol. 69, Issue 19 https://doi.org/10.1103/PhysRevLett.69.2843	journal	November 1992
Collective-Excitation Gap in the Fractional Quantum Hall Effect Girvin, S. M.; MacDonald, A. H.; Platzman, P. M. Physical Review Letters, Vol. 54, Issue 6 https://doi.org/10.1103/PhysRevLett.54.581	journal	February 1985
Effective Mass and $g$ Factor of Four-Flux-Quanta Composite Fermions Yeh, A. S.; Stormer, H. L.; Tsui, D. C. Physical Review Letters, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevLett.82.592	journal	January 1999
Evidence for a phase transition in the fractional quantum Hall effect Eisenstein, J. P.; Stormer, H. L.; Pfeiffer, L. Physical Review Letters, Vol. 62, Issue 13 https://doi.org/10.1103/PhysRevLett.62.1540	journal	March 1989
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

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