Unconventional Anisotropic Even-Denominator Fractional Quantum Hall State in a System with Mass Anisotropy

Hossain, Md. Shafayat; Ma, Meng K.; Chung, Y. J.; Pfeiffer, L. N.; West, K. W.; Baldwin, K. W.; Shayegan, M.

doi:10.1103/physrevlett.121.256601

Unconventional Anisotropic Even-Denominator Fractional Quantum Hall State in a System with Mass Anisotropy

Journal Article · Mon Dec 17 23:00:00 EST 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.121.256601· OSTI ID:1609340

Hossain, Md. Shafayat ^[1]; Ma, Meng K. ^[2]; Chung, Y. J. ^[2]; Pfeiffer, L. N. ^[2]; West, K. W. ^[2]; Baldwin, K. W. ^[2]; Shayegan, M. ^[2]

Princeton Univ., NJ (United States); DOE/OSTI
Princeton Univ., NJ (United States)

The fractional quantum Hall state (FQHS) observed at a half-filled Landau level in an interacting two-dimensional electron system (2DES) is among the most exotic states of matter as its quasiparticles are expected to be Majorana excitations with non-Abelian statistics. We demonstrate here the unexpected presence of such a state in a novel 2DES with a strong band-mass anisotropy. The FQHS we observe has unusual characteristics. While its Hall resistance is well quantized at low temperatures, it exhibits highly anisotropic in-plane transport resembling compressible stripe or nematic charge-density-wave phases. More striking, the anisotropy sets in suddenly below a critical temperature, suggesting a finite-temperature phase transition. Our observations highlight how anisotropy modifies the many-body phases of a 2DES, and should further fuel the discussion surrounding the enigmatic even-denominator FQHS.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-00ER45841

OSTI ID:: 1609340

Alternate ID(s):: OSTI ID: 1487305

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 25 Vol. 121; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (95)

Direct measurement of discrete valley and orbital quantum numbers in bilayer graphene Hunt, B. M.; Li, J. I. A.; Zibrov, A. A. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-00824-w	journal	October 2017
Wigner crystal versus Hall insulator Manoharan, H. C.; Shayegan, M. Physical Review B, Vol. 50, Issue 23 https://doi.org/10.1103/physrevb.50.17662	journal	December 1994
Density dependence of valley polarization energy for composite fermions Padmanabhan, Medini; Gokmen, T.; Shayegan, M. Physical Review B, Vol. 80, Issue 3 https://doi.org/10.1103/physrevb.80.035423	journal	July 2009
Contrast between spin and valley degrees of freedom Gokmen, T.; Padmanabhan, Medini; Shayegan, M. Physical Review B, Vol. 81, Issue 23 https://doi.org/10.1103/physrevb.81.235305	journal	June 2010
Field theory of the quantum Hall nematic transition Maciejko, J.; Hsu, B.; Kivelson, S. A. Physical Review B, Vol. 88, Issue 12 https://doi.org/10.1103/physrevb.88.125137	journal	September 2013
Fractional quantum Hall bilayers at half filling: Tunneling-driven non-Abelian phase Zhu, W.; Liu, Zhao; Haldane, F. D. M. Physical Review B, Vol. 94, Issue 24 https://doi.org/10.1103/physrevb.94.245147	journal	December 2016
Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect Zhang, Yuhe; Wójs, A.; Jain, J. K. Physical Review Letters, Vol. 117, Issue 11 https://doi.org/10.1103/physrevlett.117.116803	journal	September 2016
Collapse of the Even-Denominator Fractional Quantum Hall Effect in Tilted Fields Eisenstein, J. P.; Willett, R.; Stormer, H. L. Physical Review Letters, Vol. 61, Issue 8 https://doi.org/10.1103/physrevlett.61.997	journal	August 1988
Incompressible Paired Hall State, Stripe Order, and the Composite Fermion Liquid Phase in Half-Filled Landau Levels Rezayi, E. H.; Haldane, F. D. M. Physical Review Letters, Vol. 84, Issue 20 https://doi.org/10.1103/physrevlett.84.4685	journal	May 2000
Nematic Valley Ordering in Quantum Hall Systems Abanin, D. A.; Parameswaran, S. A.; Kivelson, S. A. arXiv https://doi.org/10.48550/arxiv.1003.1978	text	January 2010
Evidence for a new symmetry breaking mechanism reorienting quantum Hall nematics Shi, Q.; Zudov, M. A.; Watson, J. D. arXiv https://doi.org/10.48550/arxiv.1603.06864	text	January 2016
Two-dimensional electrons occupying multiple valleys in AlAs Shayegan, M.; De Poortere, E. P.; Gunawan, O. arXiv https://doi.org/10.48550/arxiv.cond-mat/0606158	text	January 2006
Exact results for interacting electrons in high Landau levels Moessner, R.; Chalker, J. T. arXiv https://doi.org/10.48550/arxiv.cond-mat/9606177	text	January 1996
Field-tilt Anisotropy Energy in Quantum Hall Stripe States Jungwirth, T.; MacDonald, A. H.; Smrcka, L. arXiv https://doi.org/10.48550/arxiv.cond-mat/9905353	text	January 1999
Two-dimensional electrons occupying multiple valleys in AlAs Shayegan, M.; De Poortere, E. P.; Gunawan, O. physica status solidi (b), Vol. 243, Issue 14 https://doi.org/10.1002/pssb.200642212	journal	November 2006
Spin--Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems Winkler, Roland; Höhler, Gerhard; Kühn, Johann H. Springer Tracts in Modern Physics, Vol. 191 https://doi.org/10.1007/b13586	book	January 2003
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
Strongly anisotropic transport in higher two-dimensional Landau levels Du, R. R.; Tsui, D. C.; Stormer, H. L. Solid State Communications, Vol. 109, Issue 6 https://doi.org/10.1016/S0038-1098(98)00578-X	journal	January 1999
Anisotropic transport of two-dimensional holes in high Landau levels Shayegan, M.; Manoharan, H. C.; Papadakis, S. J. Physica E: Low-dimensional Systems and Nanostructures, Vol. 6, Issue 1-4 https://doi.org/10.1016/S1386-9477(99)00056-9	journal	February 2000
Tunable interacting composite fermion phases in a half-filled bilayer-graphene Landau level Zibrov, A. A.; Kometter, C.; Zhou, H. Nature, Vol. 549, Issue 7672 https://doi.org/10.1038/nature23893	journal	September 2017
Transference of transport anisotropy to composite fermions Gokmen, T.; Padmanabhan, Medini; Shayegan, M. Nature Physics, Vol. 6, Issue 8 https://doi.org/10.1038/nphys1684	journal	May 2010
Evidence for a fractionally quantized Hall state with anisotropic longitudinal transport Xia, Jing; Eisenstein, J. P.; Pfeiffer, L. N. Nature Physics, Vol. 7, Issue 11 https://doi.org/10.1038/nphys2118	journal	October 2011
Even-denominator fractional quantum Hall physics in ZnO Falson, J.; Maryenko, D.; Friess, B. Nature Physics, Vol. 11, Issue 4 https://doi.org/10.1038/nphys3259	journal	March 2015
Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase Samkharadze, N.; Schreiber, K. A.; Gardner, G. C. Nature Physics, Vol. 12, Issue 2 https://doi.org/10.1038/nphys3523	journal	October 2015
Possible nematic to smectic phase transition in a two-dimensional electron gas at half-filling Qian, Q.; Nakamura, J.; Fallahi, S. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-01810-y	journal	November 2017
Electron–electron interactions and the paired-to-nematic quantum phase transition in the second Landau level Schreiber, K. A.; Samkharadze, N.; Gardner, G. C. Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-04879-1	journal	June 2018
Enhanced electron mobility and high order fractional quantum Hall states in AlAs quantum wells De Poortere, E. P.; Shkolnikov, Y. P.; Tutuc, E. Applied Physics Letters, Vol. 80, Issue 9 https://doi.org/10.1063/1.1456265	journal	March 2002
Low-temperature, in situ tunable, uniaxial stress measurements in semiconductors using a piezoelectric actuator Shayegan, M.; Karrai, K.; Shkolnikov, Y. P. Applied Physics Letters, Vol. 83, Issue 25 https://doi.org/10.1063/1.1635963	journal	December 2003
The quantum Hall effect at 5/2 filling factor Willett, R. L. Reports on Progress in Physics, Vol. 76, Issue 7 https://doi.org/10.1088/0034-4885/76/7/076501	journal	June 2013
Paired Hall states in double-layer electron systems Greiter, Martin; Wen, X. G.; Wilczek, Frank Physical Review B, Vol. 46, Issue 15 https://doi.org/10.1103/PhysRevB.46.9586	journal	October 1992
Wigner crystal versus Hall insulator Manoharan, H. C.; Shayegan, M. Physical Review B, Vol. 50, Issue 23 https://doi.org/10.1103/PhysRevB.50.17662	journal	December 1994
Ground state of a two-dimensional electron liquid in a weak magnetic field Fogler, M. M.; Koulakov, A. A.; Shklovskii, B. I. Physical Review B, Vol. 54, Issue 3 https://doi.org/10.1103/PhysRevB.54.1853	journal	July 1996
Exact results for interacting electrons in high Landau levels Moessner, R.; Chalker, J. T. Physical Review B, Vol. 54, Issue 7 https://doi.org/10.1103/PhysRevB.54.5006	journal	August 1996
Liquid-crystal phases of quantum Hall systems Fradkin, Eduardo; Kivelson, Steven A. Physical Review B, Vol. 59, Issue 12 https://doi.org/10.1103/PhysRevB.59.8065	journal	March 1999
Field-tilt anisotropy energy in quantum Hall stripe states Jungwirth, T.; MacDonald, A. H.; Smrčka, L. Physical Review B, Vol. 60, Issue 23 https://doi.org/10.1103/PhysRevB.60.15574	journal	December 1999
Density dependence of valley polarization energy for composite fermions Padmanabhan, Medini; Gokmen, T.; Shayegan, M. Physical Review B, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevB.80.035423	journal	July 2009
Contrast between spin and valley degrees of freedom Gokmen, T.; Padmanabhan, Medini; Shayegan, M. Physical Review B, Vol. 81, Issue 23 https://doi.org/10.1103/PhysRevB.81.235305	journal	June 2010
Nematic valley ordering in quantum Hall systems Abanin, D. A.; Parameswaran, S. A.; Kivelson, S. A. Physical Review B, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevB.82.035428	journal	July 2010
Effective field theory of fractional quantized Hall nematics Mulligan, Michael; Nayak, Chetan; Kachru, Shamit Physical Review B, Vol. 84, Issue 19 https://doi.org/10.1103/PhysRevB.84.195124	journal	November 2011
Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems Yang, Bo; Papić, Z.; Rezayi, E. H. Physical Review B, Vol. 85, Issue 16 https://doi.org/10.1103/PhysRevB.85.165318	journal	April 2012
Fractional quantum Hall states in two-dimensional electron systems with anisotropic interactions Wang, Hao; Narayanan, Rajesh; Wan, Xin Physical Review B, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevB.86.035122	journal	July 2012
Evidence for a ν = 5 / 2 fractional quantum Hall nematic state in parallel magnetic fields Liu, Yang; Hasdemir, S.; Shayegan, M. Physical Review B, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevB.88.035307	journal	July 2013
Field theory of the quantum Hall nematic transition Maciejko, J.; Hsu, B.; Kivelson, S. A. Physical Review B, Vol. 88, Issue 12 https://doi.org/10.1103/PhysRevB.88.125137	journal	September 2013
Fermi contour anisotropy of GaAs electron-flux composite fermions in parallel magnetic fields Kamburov, D.; Mueed, M. A.; Shayegan, M. Physical Review B, Vol. 89, Issue 8 https://doi.org/10.1103/PhysRevB.89.085304	journal	February 2014
Evidence for a new symmetry breaking mechanism reorienting quantum Hall nematics Shi, Q.; Zudov, M. A.; Watson, J. D. Physical Review B, Vol. 93, Issue 12 https://doi.org/10.1103/PhysRevB.93.121411	journal	March 2016
Striped quantum Hall state in a half-filled Landau level Wan, Xin; Yang, Kun Physical Review B, Vol. 93, Issue 20 https://doi.org/10.1103/PhysRevB.93.201303	journal	May 2016
Nematic quantum phase transition of composite Fermi liquids in half-filled Landau levels and their geometric response You, Yizhi; Cho, Gil Young; Fradkin, Eduardo Physical Review B, Vol. 93, Issue 20 https://doi.org/10.1103/PhysRevB.93.205401	journal	May 2016
Fractional quantum Hall bilayers at half filling: Tunneling-driven non-Abelian phase Zhu, W.; Liu, Zhao; Haldane, F. D. M. Physical Review B, Vol. 94, Issue 24 https://doi.org/10.1103/PhysRevB.94.245147	journal	December 2016
Anisotropy-driven transition from the Moore-Read state to quantum Hall stripes Zhu, Zheng; Sodemann, Inti; Sheng, D. N. Physical Review B, Vol. 95, Issue 20 https://doi.org/10.1103/PhysRevB.95.201116	journal	May 2017
Evidence of a fractional quantum Hall nematic phase in a microscopic model Regnault, N.; Maciejko, J.; Kivelson, S. A. Physical Review B, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevB.96.035150	journal	July 2017
Effect of Strain on Stripe Phases in the Quantum Hall Regime Koduvayur, Sunanda P.; Lyanda-Geller, Yuli; Khlebnikov, Sergei Physical Review Letters, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevLett.106.016804	journal	January 2011
Geometrical Description of the Fractional Quantum Hall Effect Haldane, F. D. M. Physical Review Letters, Vol. 107, Issue 11 https://doi.org/10.1103/PhysRevLett.107.116801	journal	September 2011
Composite Fermions with Tunable Fermi Contour Anisotropy Kamburov, D.; Liu, Yang; Shayegan, M. Physical Review Letters, Vol. 110, Issue 20 https://doi.org/10.1103/PhysRevLett.110.206801	journal	May 2013
Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect Zhang, Yuhe; Wójs, A.; Jain, J. K. Physical Review Letters, Vol. 117, Issue 11 https://doi.org/10.1103/PhysRevLett.117.116803	journal	September 2016
Transference of Fermi Contour Anisotropy to Composite Fermions Jo, Insun; Rosales, K. A. Villegas; Mueed, M. A. Physical Review Letters, Vol. 119, Issue 1 https://doi.org/10.1103/PhysRevLett.119.016402	journal	July 2017
Pomeranchuk Instability of Composite Fermi Liquids Lee, Kyungmin; Shao, Junping; Kim, Eun-Ah Physical Review Letters, Vol. 121, Issue 14 https://doi.org/10.1103/PhysRevLett.121.147601	journal	October 2018
Observation of an even-denominator quantum number in the fractional quantum Hall effect Willett, R.; Eisenstein, J. P.; Störmer, H. L. Physical Review Letters, Vol. 59, Issue 15 https://doi.org/10.1103/PhysRevLett.59.1776	journal	October 1987
Collapse of the Even-Denominator Fractional Quantum Hall Effect in Tilted Fields Eisenstein, J. P.; Willett, R.; Stormer, H. L. Physical Review Letters, Vol. 61, Issue 8 https://doi.org/10.1103/PhysRevLett.61.997	journal	August 1988
Observation of a ν=1/2 fractional quantum Hall state in a double-layer electron system Suen, Y. W.; Engel, L. W.; Santos, M. B. Physical Review Letters, Vol. 68, Issue 9 https://doi.org/10.1103/PhysRevLett.68.1379	journal	March 1992
Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field Koulakov, A. A.; Fogler, M. M.; Shklovskii, B. I. Physical Review Letters, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevLett.76.499	journal	January 1996
Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels Lilly, M. P.; Cooper, K. B.; Eisenstein, J. P. Physical Review Letters, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevLett.82.394	journal	January 1999
Strongly Anisotropic Electronic Transport at Landau Level Filling Factor ν = 9 / 2 and ν = 5 / 2 under a Tilted Magnetic Field Pan, W.; Du, R. R.; Stormer, H. L. Physical Review Letters, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevLett.83.820	journal	July 1999
Anisotropic States of Two-Dimensional Electron Systems in High Landau Levels: Effect of an In-Plane Magnetic Field Lilly, M. P.; Cooper, K. B.; Eisenstein, J. P. Physical Review Letters, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevLett.83.824	journal	July 1999
Nematic Phase of the Two-Dimensional Electron Gas in a Magnetic Field Fradkin, Eduardo; Kivelson, Steven A.; Manousakis, Efstratios Physical Review Letters, Vol. 84, Issue 9 https://doi.org/10.1103/PhysRevLett.84.1982	journal	February 2000
Incompressible Paired Hall State, Stripe Order, and the Composite Fermion Liquid Phase in Half-Filled Landau Levels Rezayi, E. H.; Haldane, F. D. M. Physical Review Letters, Vol. 84, Issue 20 https://doi.org/10.1103/PhysRevLett.84.4685	journal	May 2000
Insulating and Fractional Quantum Hall States in the First Excited Landau Level Eisenstein, J. P.; Cooper, K. B.; Pfeiffer, L. N. Physical Review Letters, Vol. 88, Issue 7 https://doi.org/10.1103/PhysRevLett.88.076801	journal	January 2002
Spin Susceptibility of Two-Dimensional Electrons in Narrow AlAs Quantum Wells Vakili, K.; Shkolnikov, Y. P.; Tutuc, E. Physical Review Letters, Vol. 92, Issue 22 https://doi.org/10.1103/PhysRevLett.92.226401	journal	June 2004
Valley Susceptibility of an Interacting Two-Dimensional Electron System Gunawan, O.; Shkolnikov, Y. P.; Vakili, K. Physical Review Letters, Vol. 97, Issue 18 https://doi.org/10.1103/PhysRevLett.97.186404	journal	November 2006
Impact of Spin-Orbit Coupling on Quantum Hall Nematic Phases Manfra, M. J.; de Picciotto, R.; Jiang, Z. Physical Review Letters, Vol. 98, Issue 20 https://doi.org/10.1103/PhysRevLett.98.206804	journal	May 2007
Valley Polarization and Susceptibility of Composite Fermions around a Filling Factor ν = 3 2 Bishop, N. C.; Padmanabhan, M.; Vakili, K. Physical Review Letters, Vol. 98, Issue 26 https://doi.org/10.1103/PhysRevLett.98.266404	journal	June 2007
Design rules for modulation-doped AlAs quantum wells Chung, Yoon Jang; Baldwin, K. W.; West, K. W. Physical Review Materials, Vol. 1, Issue 2 https://doi.org/10.1103/PhysRevMaterials.1.021002	journal	July 2017
Multivalley two-dimensional electron system in an AlAs quantum well with mobility exceeding 2 × 10 6 cm 2 V − 1 s − 1 Chung, Yoon Jang; Villegas Rosales, K. A.; Deng, H. Physical Review Materials, Vol. 2, Issue 7 https://doi.org/10.1103/PhysRevMaterials.2.071001	journal	July 2018
Non-Abelian anyons and topological quantum computation Nayak, Chetan; Simon, Steven H.; Stern, Ady Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.1083	journal	September 2008
A cascade of phase transitions in an orbitally mixed half-filled Landau level Falson, Joseph; Tabrea, Daniela; Zhang, Ding Science Advances, Vol. 4, Issue 9 https://doi.org/10.1126/sciadv.aat8742	journal	September 2018
Observation of a nematic quantum Hall liquid on the surface of bismuth Feldman, Benjamin E.; Randeria, Mallika T.; Gyenis, András Science, Vol. 354, Issue 6310 https://doi.org/10.1126/science.aag1715	journal	October 2016
Even-denominator fractional quantum Hall states in bilayer graphene Li, J. I. A.; Tan, C.; Chen, S. Science, Vol. 358, Issue 6363 https://doi.org/10.1126/science.aao2521	journal	October 2017
Nematic Fermi Fluids in Condensed Matter Physics Fradkin, Eduardo; Kivelson, Steven A.; Lawler, Michael J. Annual Review of Condensed Matter Physics, Vol. 1, Issue 1 https://doi.org/10.1146/annurev-conmatphys-070909-103925	journal	August 2010
Non-Abelian Anyons and Topological Quantum Computation Nayak, Chetan; Simon, Steven H.; Stern, Ady arXiv https://doi.org/10.48550/arxiv.0707.1889	text	January 2007
Density dependence of valley polarization energy for composite fermions Padmanabhan, Medini; Gokmen, T.; Shayegan, M. arXiv https://doi.org/10.48550/arxiv.0907.0508	text	January 2009
Effect of strain on stripe phases in the Quantum Hall regime Koduvayur, Sunanda P.; Lyanda-Geller, Yuli; Khlebnikov, Sergei arXiv https://doi.org/10.48550/arxiv.1005.3327	text	January 2010
Effective Field Theory of Fractional Quantized Hall Nematics Mulligan, Michael; Nayak, Chetan; Kachru, Shamit arXiv https://doi.org/10.48550/arxiv.1104.0256	text	January 2011
Evidence for a fractional quantum Hall state with anisotropic longitudinal transport Xia, Jing; Eisenstein, J. P.; Pfeiffer, Loren N. arXiv https://doi.org/10.48550/arxiv.1109.3219	text	January 2011
Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems Yang, Bo; Papić, Z.; Rezayi, E. H. arXiv https://doi.org/10.48550/arxiv.1202.5586	text	January 2012
Composite Fermions with Tunable Fermi Contour Anisotropy Kamburov, D.; Liu, Yang; Shayegan, M. arXiv https://doi.org/10.48550/arxiv.1302.2540	text	January 2013
Striped quantum Hall state in a half-filled Landau level Wan, Xin; Yang, Kun arXiv https://doi.org/10.48550/arxiv.1509.01780	text	January 2015
Evidence of a fractional quantum Hall nematic phase in a microscopic model Regnault, N.; Maciejko, J.; Kivelson, S. A. arXiv https://doi.org/10.48550/arxiv.1607.02178	text	January 2016
Transference of Fermi Contour Anisotropy to Composite Fermions Jo, Insun; Rosales, K. A. Villegas; Mueed, M. A. arXiv https://doi.org/10.48550/arxiv.1701.06684	text	January 2017
Possible nematic to smectic phase transition in a two-dimensional electron gas at half-filling Qian, Q.; Nakamura, J.; Fallahi, S. arXiv https://doi.org/10.48550/arxiv.1711.06645	text	January 2017
Low-temperature, in situ tunable, uniaxial stress measurements in semiconductors using a piezoelectric actuator Shayegan, M.; Karrai, K.; Shkolnikov, Y. P. arXiv https://doi.org/10.48550/arxiv.cond-mat/0411740	text	January 2004
Valley susceptibility of an interacting two-dimensional electron system Gunawan, O.; Shkolnikov, Y. P.; Vakili, K. arXiv https://doi.org/10.48550/arxiv.cond-mat/0605692	text	January 2006
Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field Koulakov, A. A.; Fogler, M. M.; Shklovskii, B. I. arXiv https://doi.org/10.48550/arxiv.cond-mat/9508017	text	January 1995
The Ground State of a Two-Dimensional Electron Liquid in a Weak Magnetic Field Fogler, M. M.; Koulakov, A. A.; Shklovskii, B. I. arXiv https://doi.org/10.48550/arxiv.cond-mat/9601110	text	January 1996
Liquid Crystal Phases of Quantum Hall Systems Fradkin, Eduardo; Kivelson, Steven A. arXiv https://doi.org/10.48550/arxiv.cond-mat/9810151	text	January 1998
Nematic phase of the two-dimensional electron gas in a magnetic field Fradkin, Eduardo; Kivelson, Steven A.; Manousakis, Efstratios arXiv https://doi.org/10.48550/arxiv.cond-mat/9906064	text	January 1999
Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels Rezayi, E. H.; Haldane, F. D. M. arXiv https://doi.org/10.48550/arxiv.cond-mat/9906137	text	January 1999

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