Wigner solids of wide quantum wells near Landau filling ν=1

Hatke, A.  T.; Liu, Yang; Engel, L.  W.; Pfeiffer, L.  N.; West, K.  W.; Baldwin, K.  W.; Shayegan, M.

doi:10.1103/physrevb.98.195309

Wigner solids of wide quantum wells near Landau filling $ν = 1$

Journal Article · Sun Nov 18 23:00:00 EST 2018 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.98.195309· OSTI ID:1609341

Hatke, A. T. ^[1]; Liu, Yang ^[2]; Engel, L. W. ^[3]; Pfeiffer, L. N. ^[2]; West, K. W. ^[2]; Baldwin, K. W. ^[2]; Shayegan, M. ^[2]

National High Magnetic Field Lab., Tallahassee, FL (United States); DOE/OSTI
Princeton Univ., NJ (United States)
National High Magnetic Field Lab., Tallahassee, FL (United States)

Microwave spectroscopy within the Landau filling ($$ν$$) range of the integer quantum Hall effect (IQHE) has revealed pinning mode resonances signifying Wigner solids (WSs) composed of quasiparticles or -holes. We study pinning modes of WSs in wide quantum wells (WQWs) for $0.8 ≤ ν ≤ 1.2$, varying the density, $$n$$, and tilting the sample by angle $$θ$$ in the magnetic field. Three distinct WS phases are accessed. One phase, S1, is phenomenologically the same as the WS observed in the IQHEs of narrow QWs. The second phase, S2, exists at $$ν$$ further from $ν = 1$ than S1, and requires a sufficiently large n or θ , implying S2 is stabilized by the Zeeman energy. The melting temperatures of S1 and S2, estimated from the disappearance of the pinning mode, show different behavior versus $$ν$$. At the largest $$n$$ or $$θ$$, S2 disappears and the third phase, S1A, replaces S1, also exhibiting a pinning mode. This occurs as the WQW $ν = 1$ IQHE becomes a two-component, Halperin-Laughlin $$Ψ_{111}$$ state. We interpret S1A as a WS of the excitations of $$Ψ_{111}$$, which has not been previously observed.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States); Florida State Univ., Tallahassee, FL (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-00ER45841; FG02-05ER46212

OSTI ID:: 1609341

Alternate ID(s):: OSTI ID: 1482758

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 19 Vol. 98; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (45)

Composite Fermions Jain, Jainendra K. https://doi.org/10.1017/CBO9780511607561	book	January 2007
Microwave spectroscopic observation of distinct electron solid phases in wide quantum wells Hatke, A. T.; Liu, Yang; Magill, B. A. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5154	journal	June 2014
Microwave spectroscopy of the low-filling-factor bilayer electron solid in a wide quantum well Hatke, A. T.; Liu, Y.; Engel, L. W. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms8071	journal	May 2015
NMR profiling of quantum electron solids in high magnetic fields Tiemann, L.; Rhone, T. D.; Shibata, N. Nature Physics, Vol. 10, Issue 9 https://doi.org/10.1038/nphys3031	journal	July 2014
Melting of a 2D quantum electron solid in high magnetic field Chen, Yong P.; Sambandamurthy, G.; Wang, Z. H. Nature Physics, Vol. 2, Issue 7 https://doi.org/10.1038/nphys322	journal	June 2006
Sharp tunnelling resonance from the vibrations of an electronic Wigner crystal Jang, Joonho; Hunt, Benjamin M.; Pfeiffer, Loren N. Nature Physics, Vol. 13, Issue 4 https://doi.org/10.1038/nphys3979	journal	December 2016
Correlated bilayer electron states Shayegan, M.; Manoharan, H. C.; Suen, Y. W. Semiconductor Science and Technology, Vol. 11, Issue 11S https://doi.org/10.1088/0268-1242/11/11S/015	journal	November 1996
Liquid-solid transition and the fractional quantum-Hall effect Lam, Pui K.; Girvin, S. M. Physical Review B, Vol. 30, Issue 1 https://doi.org/10.1103/PhysRevB.30.473	journal	July 1984
Anomalous temperature dependence of the correlated ν=1 quantum Hall effect in bilayer electron systems Lay, T. S.; Suen, Y. W.; Manoharan, H. C. Physical Review B, Vol. 50, Issue 23 https://doi.org/10.1103/PhysRevB.50.17725	journal	December 1994
Spontaneous interlayer coherence in double-layer quantum Hall systems: Charged vortices and Kosterlitz-Thouless phase transitions Moon, K.; Mori, H.; Yang, Kun Physical Review B, Vol. 51, Issue 8 https://doi.org/10.1103/PhysRevB.51.5138	journal	February 1995
One-component to two-component transition of the ν = 2 / 3 fractional quantum Hall effect in a wide quantum well induced by an in-plane magnetic field Lay, T. S.; Jungwirth, T.; Smrčka, L. Physical Review B, Vol. 56, Issue 12 https://doi.org/10.1103/PhysRevB.56.R7092	journal	September 1997
Electromagnetic response of a pinned Wigner crystal Fertig, H. A. Physical Review B, Vol. 59, Issue 3 https://doi.org/10.1103/PhysRevB.59.2120	journal	January 1999
Microwave resonance and weak pinning in two-dimensional hole systems at high magnetic fields Li, C. -C.; Yoon, J.; Engel, L. W. Physical Review B, Vol. 61, Issue 16 https://doi.org/10.1103/PhysRevB.61.10905	journal	April 2000
Dynamical response of a pinned two-dimensional Wigner crystal Fogler, Michael M.; Huse, David A. Physical Review B, Vol. 62, Issue 11 https://doi.org/10.1103/PhysRevB.62.7553	journal	September 2000
Wigner crystals in the lowest Landau level at low-filling factors Yang, Kun; Haldane, F. D. M.; Rezayi, E. H. Physical Review B, Vol. 64, Issue 8 https://doi.org/10.1103/PhysRevB.64.081301	journal	August 2001
Pinned Wigner crystals Chitra, R.; Giamarchi, T.; Le Doussal, P. Physical Review B, Vol. 65, Issue 3 https://doi.org/10.1103/PhysRevB.65.035312	journal	December 2001
Pseudospin vortex-antivortex states with interwoven spin textures in double-layer quantum Hall systems Bourassa, J.; Roostaei, B.; Côté, R. Physical Review B, Vol. 74, Issue 19 https://doi.org/10.1103/PhysRevB.74.195320	journal	November 2006
Static and dynamic properties of type-II composite fermion Wigner crystals Archer, Alexander C.; Jain, Jainendra K. Physical Review B, Vol. 84, Issue 11 https://doi.org/10.1103/PhysRevB.84.115139	journal	September 2011
Unequal layer densities in bilayer Wigner crystal at high magnetic fields Wang, Zhihai; Chen, Yong P.; Zhu, Han Physical Review B, Vol. 85, Issue 19 https://doi.org/10.1103/PhysRevB.85.195408	journal	May 2012
ν = 1 / 2 fractional quantum Hall effect in tilted magnetic fields Hasdemir, S.; Liu, Yang; Deng, H. Physical Review B, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevB.91.045113	journal	January 2015
Analytical theory of strongly correlated Wigner crystals in the lowest Landau level Rhim, Jun-Won; Jain, Jainendra K.; Park, Kwon Physical Review B, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevB.92.121103	journal	September 2015
Microwave spectroscopic observation of a Wigner solid within the ν = 1 / 2 fractional quantum Hall effect Hatke, A. T.; Liu, Yang; Engel, L. W. Physical Review B, Vol. 95, Issue 4 https://doi.org/10.1103/PhysRevB.95.045417	journal	January 2017
Pinning-Mode Resonance of a Skyrme Crystal near Landau-Level Filling Factor ν = 1 Zhu, Han; Sambandamurthy, G.; Chen, Yong P. Physical Review Letters, Vol. 104, Issue 22 https://doi.org/10.1103/PhysRevLett.104.226801	journal	June 2010
Observation of a Pinning Mode in a Wigner Solid with ν = 1 / 3 Fractional Quantum Hall Excitations Zhu, Han; Chen, Yong P.; Jiang, P. Physical Review Letters, Vol. 105, Issue 12 https://doi.org/10.1103/PhysRevLett.105.126803	journal	September 2010
Observation of Reentrant Integer Quantum Hall States in the Lowest Landau Level Liu, Yang; Pappas, C. G.; Shayegan, M. Physical Review Letters, Vol. 109, Issue 3 https://doi.org/10.1103/PhysRevLett.109.036801	journal	July 2012
Competing Crystal Phases in the Lowest Landau Level Archer, Alexander C.; Park, Kwon; Jain, Jainendra K. Physical Review Letters, Vol. 111, Issue 14 https://doi.org/10.1103/PhysRevLett.111.146804	journal	October 2013
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
Commensurability Oscillations of Composite Fermions Induced by the Periodic Potential of a Wigner Crystal Deng, H.; Liu, Y.; Jo, I. Physical Review Letters, Vol. 117, Issue 9 https://doi.org/10.1103/PhysRevLett.117.096601	journal	August 2016
Geometric Resonance of Composite Fermions near Bilayer Quantum Hall States Mueed, M. A.; Kamburov, D.; Pfeiffer, L. N. Physical Review Letters, Vol. 117, Issue 24 https://doi.org/10.1103/PhysRevLett.117.246801	journal	December 2016
Observation of a Magnetically Induced Wigner Solid Andrei, E. Y.; Deville, G.; Glattli, D. C. Physical Review Letters, Vol. 60, Issue 26 https://doi.org/10.1103/PhysRevLett.60.2765	journal	June 1988
Evidence for two-dimentional quantum Wigner crystal Goldman, V. J.; Santos, M.; Shayegan, M. Physical Review Letters, Vol. 65, Issue 17 https://doi.org/10.1103/PhysRevLett.65.2189	journal	October 1990
Quantum liquid versus electron solid around ν=1/5 Landau-level filling Jiang, H. W.; Willett, R. L.; Stormer, H. L. Physical Review Letters, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevLett.65.633	journal	July 1990
Conduction threshold and pinning frequency of magnetically induced Wigner solid Williams, F. I. B.; Wright, P. A.; Clark, R. G. Physical Review Letters, Vol. 66, Issue 25 https://doi.org/10.1103/PhysRevLett.66.3285	journal	June 1991
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
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
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
Many-body integer quantum Hall effect: Evidence for new phase transitions Murphy, S. Q.; Eisenstein, J. P.; Boebinger, G. S. Physical Review Letters, Vol. 72, Issue 5 https://doi.org/10.1103/PhysRevLett.72.728	journal	January 1994
Skyrme Crystal in a Two-Dimensional Electron Gas Brey, L.; Fertig, H. A.; Côté, R. Physical Review Letters, Vol. 75, Issue 13 https://doi.org/10.1103/PhysRevLett.75.2562	journal	September 1995
Giant Low Temperature Heat Capacity of GaAs Quantum Wells near Landau Level Filling ν = 1 Bayot, V.; Grivei, E.; Melinte, S. Physical Review Letters, Vol. 76, Issue 24 https://doi.org/10.1103/PhysRevLett.76.4584	journal	June 1996
Evidence for a Bilayer Quantum Wigner Solid Manoharan, H. C.; Suen, Y. W.; Santos, M. B. Physical Review Letters, Vol. 77, Issue 9 https://doi.org/10.1103/PhysRevLett.77.1813	journal	August 1996
Collective Excitations, NMR, and Phase Transitions in Skyrme Crystals Côté, R.; MacDonald, A. H.; Brey, Luis Physical Review Letters, Vol. 78, Issue 25 https://doi.org/10.1103/PhysRevLett.78.4825	journal	June 1997
Spontaneous Interlayer Charge Transfer near the Magnetic Quantum Limit Manoharan, H. C.; Suen, Y. W.; Lay, T. S. Physical Review Letters, Vol. 79, Issue 14 https://doi.org/10.1103/PhysRevLett.79.2722	journal	October 1997
Microwave Resonance of the 2D Wigner Crystal around Integer Landau Fillings Chen, Yong; Lewis, R. M.; Engel, L. W. Physical Review Letters, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevLett.91.016801	journal	July 2003
Evidence of a First-Order Phase Transition Between Wigner-Crystal and Bubble Phases of 2D Electrons in Higher Landau Levels Lewis, R. M.; Chen, Yong; Engel, L. W. Physical Review Letters, Vol. 93, Issue 17 https://doi.org/10.1103/PhysRevLett.93.176808	journal	October 2004
Evidence for Two Different Solid Phases of Two-Dimensional Electrons in High Magnetic Fields Chen, Yong P.; Lewis, R. M.; Engel, L. W. Physical Review Letters, Vol. 93, Issue 20 https://doi.org/10.1103/PhysRevLett.93.206805	journal	November 2004

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Wigner solids of wide quantum wells near Landau filling $ν = 1$