Morphing of two-dimensional hole systems at ν=3/2 in parallel magnetic fields: Compressible, stripe, and fractional quantum Hall phases

Liu, Yang; Mueed, M. A.; Hossain, Md. Shafayat; Hasdermir, S.; Pfeiffer, L. N.; West, K. W.; Baldwin, K. W.; Shayegan, M.

doi:10.1103/physrevb.94.155312

Title: Morphing of two-dimensional hole systems at $ν = 3 / 2$ in parallel magnetic fields: Compressible, stripe, and fractional quantum Hall phases

Journal Article · Mon Oct 31 00:00:00 EDT 2016 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.94.155312· OSTI ID:1535778

Liu, Yang ^[1]; Mueed, M. A. ^[1]; Hossain, Md. Shafayat ^[1]; Hasdermir, S. ^[1]; Pfeiffer, L. N. ^[1]; West, K. W. ^[1]; Baldwin, K. W. ^[1]; Shayegan, M. ^[1]

Princeton Univ., NJ (United States)

A transport study of two-dimensional (2D) holes confined to wide GaAs quantum wells provides a glimpse of a subtle competition between different many-body phases at a Landau level filling ν = 3/2 in tilted magnetic fields. At large tilt angles (θ), an anisotropic, stripe (or nematic) phase replaces the isotropic compressible Fermi sea at ν = 3/2 if the quantum well has a symmetric charge distribution. Furthermore, when the charge distribution is made asymmetric, instead of the stripe phase, an even-denominator fractional quantum state appears at ν = 3/2 in a range of large θ, and reverts back to a compressible state at even higher θ. We attribute this remarkable evolution to the significant mixing of the excited and ground-state Landau levels of 2D hole systems in tilted fields.

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

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); Gordon and Betty Moore Foundation

Grant/Contract Number:: FG02-00ER45841; DMR-130569; DMR-1420541; DMR-1157490; GBMF4420; FG02-00-ER45841

OSTI ID:: 1535778

Alternate ID(s):: OSTI ID: 1330484

Journal Information:: Physical Review B, Vol. 94, Issue 15; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 3 works

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References (40)

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
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
Unusual Landau level pinning and correlated $ν = 1$ quantum Hall effect in hole systems confined to wide GaAs quantum wells Liu, Yang; Hasdemir, S.; Shayegan, M. Physical Review B, Vol. 92, Issue 19 https://doi.org/10.1103/PhysRevB.92.195156	journal	November 2015
Experimental demonstration of a Fermi surface at one-half filling of the lowest Landau level Willett, R. L.; Ruel, R. R.; West, K. W. Physical Review Letters, Vol. 71, Issue 23 https://doi.org/10.1103/PhysRevLett.71.3846	journal	December 1993
Reentrant $ν = 1$ Quantum Hall State in a Two-Dimensional Hole System Graninger, A. L.; Kamburov, D.; Shayegan, M. Physical Review Letters, Vol. 107, Issue 17 https://doi.org/10.1103/PhysRevLett.107.176810	journal	October 2011
New fractional quantum Hall state in double-layer two-dimensional electron systems Eisenstein, J. P.; Boebinger, G. S.; Pfeiffer, L. N. Physical Review Letters, Vol. 68, Issue 9 https://doi.org/10.1103/PhysRevLett.68.1383	journal	March 1992
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
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
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
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
Quantum Phase Transitions and the $ν = 5 / 2$ Fractional Hall State in Wide Quantum Wells Papić, Z.; Haldane, F. D. M.; Rezayi, E. H. Physical Review Letters, Vol. 109, Issue 26 https://doi.org/10.1103/PhysRevLett.109.266806	journal	December 2012
Electron Correlation in the Second Landau Level: A Competition Between Many Nearly Degenerate Quantum Phases Xia, J. S.; Pan, W.; Vicente, C. L. Physical Review Letters, Vol. 93, Issue 17 https://doi.org/10.1103/PhysRevLett.93.176809	journal	October 2004
Origin of the ν=1/2 fractional quantum Hall state in wide single quantum wells Suen, Y. W.; Manoharan, H. C.; Ying, X. Physical Review Letters, Vol. 72, Issue 21 https://doi.org/10.1103/PhysRevLett.72.3405	journal	May 1994
Observation of an Anisotropic Wigner Crystal Liu, Yang; Hasdemir, S.; Pfeiffer, L. N. Physical Review Letters, Vol. 117, Issue 10 https://doi.org/10.1103/PhysRevLett.117.106802	journal	August 2016
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
Composite Fermions Jain, Jainendra K. https://doi.org/10.1017/CBO9780511607561	book	January 2007
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
Phase diagrams for the stability of the $ν = \frac{1}{2}$ fractional quantum Hall effect in electron systems confined to symmetric, wide GaAs quantum wells Shabani, J.; Liu, Yang; Shayegan, M. Physical Review B, Vol. 88, Issue 24 https://doi.org/10.1103/PhysRevB.88.245413	journal	December 2013
Anomalous Robustness of the $ν = 5 / 2$ Fractional Quantum Hall State near a Sharp Phase Boundary Liu, Yang; Kamburov, D.; Shayegan, M. Physical Review Letters, Vol. 107, Issue 17 https://doi.org/10.1103/PhysRevLett.107.176805	journal	October 2011
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
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
Even-denominator fractional quantum Hall effect at a Landau level crossing Liu, Yang; Hasdemir, S.; Kamburov, D. Physical Review B, Vol. 89, Issue 16 https://doi.org/10.1103/PhysRevB.89.165313	journal	April 2014
Stability of the $q / 3$ fractional quantum Hall states Liu, Yang; Shabani, J.; Shayegan, M. Physical Review B, Vol. 84, Issue 19 https://doi.org/10.1103/PhysRevB.84.195303	journal	November 2011
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
Fractional Quantum Hall Effect at $ν = 1 / 2$ in Hole Systems Confined to GaAs Quantum Wells Liu, Yang; Graninger, A. L.; Hasdemir, S. Physical Review Letters, Vol. 112, Issue 4 https://doi.org/10.1103/PhysRevLett.112.046804	journal	January 2014
Tilt-Induced Anisotropic to Isotropic Phase Transition at $ν = 5 / 2$ Xia, Jing; Cvicek, Vaclav; Eisenstein, J. P. Physical Review Letters, Vol. 105, Issue 17 https://doi.org/10.1103/PhysRevLett.105.176807	journal	October 2010
Evolution of the $7 / 2$ Fractional Quantum Hall State in Two-Subband Systems Liu, Yang; Shabani, J.; Kamburov, D. Physical Review Letters, Vol. 107, Issue 26 https://doi.org/10.1103/PhysRevLett.107.266802	journal	December 2011
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
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
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
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
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 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
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
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
Multicomponent fractional quantum Hall states with subband and spin degrees of freedom Liu, Yang; Hasdemir, S.; Shabani, J. Physical Review B, Vol. 92, Issue 20 https://doi.org/10.1103/PhysRevB.92.201101	journal	November 2015
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
Gap Reversal at Filling Factors $3 + 1 / 3$ and $3 + 1 / 5$ : Towards Novel Topological Order in the Fractional Quantum Hall Regime Kleinbaum, Ethan; Kumar, Ashwani; Pfeiffer, L. N. Physical Review Letters, Vol. 114, Issue 7 https://doi.org/10.1103/PhysRevLett.114.076801	journal	February 2015
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
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

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Title: Morphing of two-dimensional hole systems at ν = 3 / 2 in parallel magnetic fields: Compressible, stripe, and fractional quantum Hall phases

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Title: Morphing of two-dimensional hole systems at $ν = 3 / 2$ in parallel magnetic fields: Compressible, stripe, and fractional quantum Hall phases