Electron-solid and electron-liquid phases in graphene

Knoester, M. E.; Papić, Z.; Morais Smith, C.

doi:10.1103/PhysRevB.93.155141

Title: Electron-solid and electron-liquid phases in graphene

Authors:: Knoester, M. E.; Papić, Z.; Morais Smith, C.

Publication Date:: Thu Apr 21 00:00:00 EDT 2016

Sponsoring Org.:: USDOE

OSTI Identifier:: 1249656

Grant/Contract Number:: SC0002140

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Name: Physical Review B Journal Volume: 93 Journal Issue: 15; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Knoester, M. E., Papić, Z., and Morais Smith, C. Electron-solid and electron-liquid phases in graphene.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevB.93.155141.

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                    Knoester, M. E., Papić, Z., & Morais Smith, C. Electron-solid and electron-liquid phases in graphene.  United States.  https://doi.org/10.1103/PhysRevB.93.155141

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                    Knoester, M. E., Papić, Z., and Morais Smith, C. Thu .  
"Electron-solid and electron-liquid phases in graphene".  United States.  https://doi.org/10.1103/PhysRevB.93.155141.

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@article{osti_1249656,

  title        = {Electron-solid and electron-liquid phases in graphene},

  author       = {Knoester, M. E. and Papić, Z. and Morais Smith, C.},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.93.155141},

  journal      = {Physical Review B},

  number       = 15,

  volume       = 93,

  place        = {United States},

  year         = {Thu Apr 21 00:00:00 EDT 2016},

  month        = {Thu Apr 21 00:00:00 EDT 2016}

}

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Works referenced in this record:

Fractional Quantum Hall Phase Transitions and Four-Flux States in Graphene
journal, August 2013

Feldman, Benjamin E.; Levin, Andrei J.; Krauss, Benjamin
Physical Review Letters, Vol. 111, Issue 7
DOI: 10.1103/PhysRevLett.111.076802

Dynamical Properties of the Pinned Wigner Crystal
journal, April 1998

Chitra, R.; Giamarchi, T.; Le Doussal, P.
Physical Review Letters, Vol. 80, Issue 17
DOI: 10.1103/PhysRevLett.80.3827

Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
journal, August 1983

Haldane, F. D. M.
Physical Review Letters, Vol. 51, Issue 7
DOI: 10.1103/PhysRevLett.51.605

Fermi-liquid-like state in a half-filled Landau level
journal, February 1994

Rezayi, E.; Read, N.
Physical Review Letters, Vol. 72, Issue 6
DOI: 10.1103/PhysRevLett.72.900

Observation of the fractional quantum Hall effect in graphene
journal, November 2009

Bolotin, Kirill I.; Ghahari, Fereshte; Shulman, Michael D.
Nature, Vol. 462, Issue 7270
DOI: 10.1038/nature08582

Exact results for interacting electrons in high Landau levels
journal, August 1996

Moessner, R.; Chalker, J. T.
Physical Review B, Vol. 54, Issue 7
DOI: 10.1103/PhysRevB.54.5006

Evidence of a First-Order Phase Transition Between Wigner-Crystal and Bubble Phases of 2D Electrons in Higher Landau Levels
journal, October 2004

Lewis, R. M.; Chen, Yong; Engel, L. W.
Physical Review Letters, Vol. 93, Issue 17
DOI: 10.1103/PhysRevLett.93.176808

Quantum Phase Transitions and the $ν = 5 / 2$ Fractional Hall State in Wide Quantum Wells
journal, December 2012

Papić, Z.; Haldane, F. D. M.; Rezayi, E. H.
Physical Review Letters, Vol. 109, Issue 26
DOI: 10.1103/PhysRevLett.109.266806

Electron interactions in graphene in a strong magnetic field
journal, October 2006

Goerbig, M. O.; Moessner, R.; Douçot, B.
Physical Review B, Vol. 74, Issue 16
DOI: 10.1103/PhysRevB.74.161407

The electronic properties of graphene
journal, January 2009

Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.
Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162
DOI: 10.1103/RevModPhys.81.109

Activation gaps for the fractional quantum Hall effect: realistic treatment of transverse thickness
journal, September 1999

Park, K.; Meskini, N.; Jain, J. K.
Journal of Physics: Condensed Matter, Vol. 11, Issue 38
DOI: 10.1088/0953-8984/11/38/308

Contrasting energy scales of reentrant integer quantum Hall states
journal, November 2012

Deng, Nianpei; Watson, J. D.; Rokhinson, L. P.
Physical Review B, Vol. 86, Issue 20
DOI: 10.1103/PhysRevB.86.201301

Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
journal, January 1996

Koulakov, A. A.; Fogler, M. M.; Shklovskii, B. I.
Physical Review Letters, Vol. 76, Issue 3
DOI: 10.1103/PhysRevLett.76.499

Broken rotation symmetry in the fractional quantum Hall system
journal, February 1996

Musaelian, K.; Joynt, Robert
Journal of Physics: Condensed Matter, Vol. 8, Issue 8
DOI: 10.1088/0953-8984/8/8/002

Two-dimensional gas of massless Dirac fermions in graphene
journal, November 2005

Novoselov, K. S.; Geim, A. K.; Morozov, S. V.
Nature, Vol. 438, Issue 7065, p. 197-200
DOI: 10.1038/nature04233

Landau level mixing and the fractional quantum Hall effect
journal, June 2013

Sodemann, I.; MacDonald, A. H.
Physical Review B, Vol. 87, Issue 24
DOI: 10.1103/PhysRevB.87.245425

Electronic properties of graphene in a strong magnetic field
journal, November 2011

Goerbig, M. O.
Reviews of Modern Physics, Vol. 83, Issue 4
DOI: 10.1103/RevModPhys.83.1193

Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
journal, May 1983

Laughlin, R. B.
Physical Review Letters, Vol. 50, Issue 18
DOI: 10.1103/PhysRevLett.50.1395

Liquid-solid transition and the fractional quantum-Hall effect
journal, July 1984

Lam, Pui K.; Girvin, S. M.
Physical Review B, Vol. 30, Issue 1
DOI: 10.1103/PhysRevB.30.473

Phase Diagram of the $ν = 5 / 2$ Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero Width
journal, April 2015

Pakrouski, Kiryl; Peterson, Michael R.; Jolicoeur, Thierry
Physical Review X, Vol. 5, Issue 2
DOI: 10.1103/PhysRevX.5.021004

Unconventional Integer Quantum Hall Effect in Graphene
journal, September 2005

Gusynin, V. P.; Sharapov, S. G.
Physical Review Letters, Vol. 95, Issue 14
DOI: 10.1103/PhysRevLett.95.146801

Multicomponent fractional quantum Hall effect in graphene
journal, May 2011

Dean, C. R.; Young, A. F.; Cadden-Zimansky, P.
Nature Physics, Vol. 7, Issue 9
DOI: 10.1038/nphys2007

Electric Field Effect in Atomically Thin Carbon Films
journal, October 2004

Novoselov, K. S.
Science, Vol. 306, Issue 5696, p. 666-669
DOI: 10.1126/science.1102896

Liquid-crystal phases of quantum Hall systems
journal, March 1999

Fradkin, Eduardo; Kivelson, Steven A.
Physical Review B, Vol. 59, Issue 12
DOI: 10.1103/PhysRevB.59.8065

Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene
journal, September 2012

Feldman, B. E.; Krauss, B.; Smet, J. H.
Science, Vol. 337, Issue 6099
DOI: 10.1126/science.1224784

Nonequilibrium transport in density-modulated phases of the second Landau level
journal, May 2015

Baer, S.; Rössler, C.; Hennel, S.
Physical Review B, Vol. 91, Issue 19
DOI: 10.1103/PhysRevB.91.195414

Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels
journal, December 2000

Haldane, F. D. M.; Rezayi, E. H.; Yang, Kun
Physical Review Letters, Vol. 85, Issue 25
DOI: 10.1103/PhysRevLett.85.5396

Microwave spectroscopic observation of distinct electron solid phases in wide quantum wells
journal, June 2014

Hatke, A. T.; Liu, Yang; Magill, B. A.
Nature Communications, Vol. 5, Issue 1
DOI: 10.1038/ncomms5154

Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene
journal, October 2009

Du, Xu; Skachko, Ivan; Duerr, Fabian
Nature, Vol. 462, Issue 7270
DOI: 10.1038/nature08522

Infinite density matrix renormalization group for multicomponent quantum Hall systems
journal, January 2015

Zaletel, Michael P.; Mong, Roger S. K.; Pollmann, Frank
Physical Review B, Vol. 91, Issue 4
DOI: 10.1103/PhysRevB.91.045115

Mobility gap in fractional quantum Hall liquids: Effects of disorder and layer thickness
journal, August 2005

Wan, Xin; Sheng, D. N.; Rezayi, E. H.
Physical Review B, Vol. 72, Issue 7
DOI: 10.1103/PhysRevB.72.075325

Observation of Reentrant Integer Quantum Hall States in the Lowest Landau Level
journal, July 2012

Liu, Yang; Pappas, C. G.; Shayegan, M.
Physical Review Letters, Vol. 109, Issue 3
DOI: 10.1103/PhysRevLett.109.036801

Effects of Landau Level Mixing on the Fractional Quantum Hall Effect in Monolayer Graphene
journal, August 2014

Peterson, Michael R.; Nayak, Chetan
Physical Review Letters, Vol. 113, Issue 8
DOI: 10.1103/PhysRevLett.113.086401

Collective Nature of the Reentrant Integer Quantum Hall States in the Second Landau Level
journal, February 2012

Deng, N.; Kumar, A.; Manfra, M. J.
Physical Review Letters, Vol. 108, Issue 8
DOI: 10.1103/PhysRevLett.108.086803

Magneto-roton theory of collective excitations in the fractional quantum Hall effect
journal, February 1986

Girvin, S. M.; MacDonald, A. H.; Platzman, P. M.
Physical Review B, Vol. 33, Issue 4
DOI: 10.1103/PhysRevB.33.2481

Microscopic theory of the reentrant integer quantum Hall effect in the first and second excited Landau levels
journal, December 2003

Goerbig, M. O.; Lederer, P.; Morais Smith, C.
Physical Review B, Vol. 68, Issue 24
DOI: 10.1103/PhysRevB.68.241302

Breaking of Particle-Hole Symmetry by Landau Level Mixing in the $ν = 5 / 2$ Quantized Hall State
journal, March 2011

Rezayi, Edward H.; Simon, Steven H.
Physical Review Letters, Vol. 106, Issue 11
DOI: 10.1103/PhysRevLett.106.116801

Effect of Landau level mixing on the effective interaction between electrons in the fractional quantum Hall regime
journal, September 2009

Bishara, Waheb; Nayak, Chetan
Physical Review B, Vol. 80, Issue 12
DOI: 10.1103/PhysRevB.80.121302

Ground state of a two-dimensional electron liquid in a weak magnetic field
journal, July 1996

Fogler, M. M.; Koulakov, A. A.; Shklovskii, B. I.
Physical Review B, Vol. 54, Issue 3
DOI: 10.1103/PhysRevB.54.1853

Competition between quantum-liquid and electron-solid phases in intermediate Landau levels
journal, March 2004

Goerbig, M. O.; Lederer, P.; Smith, C. Morais
Physical Review B, Vol. 69, Issue 11
DOI: 10.1103/PhysRevB.69.115327

Insulating phases of two-dimensional electrons in high Landau levels: Observation of sharp thresholds to conduction
journal, October 1999

Cooper, K. B.; Lilly, M. P.; Eisenstein, J. P.
Physical Review B, Vol. 60, Issue 16
DOI: 10.1103/PhysRevB.60.R11285

Strongly anisotropic transport in higher two-dimensional Landau levels
journal, January 1999

Du, R. R.; Tsui, D. C.; Stormer, H. L.
Solid State Communications, Vol. 109, Issue 6
DOI: 10.1016/S0038-1098(98)00578-X

Quantum Hall Ferromagnetism in Graphene
journal, June 2006

Nomura, Kentaro; MacDonald, Allan H.
Physical Review Letters, Vol. 96, Issue 25
DOI: 10.1103/PhysRevLett.96.256602

Composite-fermion approach for the fractional quantum Hall effect
journal, July 1989

Jain, J. K.
Physical Review Letters, Vol. 63, Issue 2
DOI: 10.1103/PhysRevLett.63.199

Charge-Density-Wave Ordering in Half-Filled High Landau Levels
journal, August 1999

Rezayi, E. H.; Haldane, F. D. M.; Yang, Kun
Physical Review Letters, Vol. 83, Issue 6
DOI: 10.1103/PhysRevLett.83.1219

Landau level mixing in the perturbative limit
journal, April 2013

Simon, Steven H.; Rezayi, Edward H.
Physical Review B, Vol. 87, Issue 15
DOI: 10.1103/PhysRevB.87.155426

More realistic Hamiltonians for the fractional quantum Hall regime in GaAs and graphene
journal, June 2013

Peterson, Michael R.; Nayak, Chetan
Physical Review B, Vol. 87, Issue 24
DOI: 10.1103/PhysRevB.87.245129

Depinning transition of bubble phases in a high Landau level
journal, March 2015

Wang, Xuebin; Fu, Hailong; Du, Lingjie
Physical Review B, Vol. 91, Issue 11
DOI: 10.1103/PhysRevB.91.115301

Scaling approach to the phase diagram of quantum Hall systems
journal, September 2003

Goerbig, M. O.; Smith, C. Morais
Europhysics Letters (EPL), Vol. 63, Issue 5
DOI: 10.1209/epl/i2003-00585-0

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Title: Electron-solid and electron-liquid phases in graphene

Citation Formats

Fractional Quantum Hall Phase Transitions and Four-Flux States in Graphene journal, August 2013

Dynamical Properties of the Pinned Wigner Crystal journal, April 1998

Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States journal, August 1983

Fermi-liquid-like state in a half-filled Landau level journal, February 1994

Observation of the fractional quantum Hall effect in graphene journal, November 2009

Exact results for interacting electrons in high Landau levels journal, August 1996

Evidence of a First-Order Phase Transition Between Wigner-Crystal and Bubble Phases of 2D Electrons in Higher Landau Levels journal, October 2004

Quantum Phase Transitions and the ν = 5 / 2 Fractional Hall State in Wide Quantum Wells journal, December 2012

Electron interactions in graphene in a strong magnetic field journal, October 2006

The electronic properties of graphene journal, January 2009

Activation gaps for the fractional quantum Hall effect: realistic treatment of transverse thickness journal, September 1999

Contrasting energy scales of reentrant integer quantum Hall states journal, November 2012

Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field journal, January 1996

Broken rotation symmetry in the fractional quantum Hall system journal, February 1996

Two-dimensional gas of massless Dirac fermions in graphene journal, November 2005

Landau level mixing and the fractional quantum Hall effect journal, June 2013

Electronic properties of graphene in a strong magnetic field journal, November 2011

Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations journal, May 1983

Liquid-solid transition and the fractional quantum-Hall effect journal, July 1984

Phase Diagram of the ν = 5 / 2 Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero Width journal, April 2015

Unconventional Integer Quantum Hall Effect in Graphene journal, September 2005

Multicomponent fractional quantum Hall effect in graphene journal, May 2011

Electric Field Effect in Atomically Thin Carbon Films journal, October 2004

Liquid-crystal phases of quantum Hall systems journal, March 1999

Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene journal, September 2012

Nonequilibrium transport in density-modulated phases of the second Landau level journal, May 2015

Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels journal, December 2000

Microwave spectroscopic observation of distinct electron solid phases in wide quantum wells journal, June 2014

Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene journal, October 2009

Infinite density matrix renormalization group for multicomponent quantum Hall systems journal, January 2015

Mobility gap in fractional quantum Hall liquids: Effects of disorder and layer thickness journal, August 2005

Observation of Reentrant Integer Quantum Hall States in the Lowest Landau Level journal, July 2012

Effects of Landau Level Mixing on the Fractional Quantum Hall Effect in Monolayer Graphene journal, August 2014

Collective Nature of the Reentrant Integer Quantum Hall States in the Second Landau Level journal, February 2012

Magneto-roton theory of collective excitations in the fractional quantum Hall effect journal, February 1986

Microscopic theory of the reentrant integer quantum Hall effect in the first and second excited Landau levels journal, December 2003

Breaking of Particle-Hole Symmetry by Landau Level Mixing in the ν = 5 / 2 Quantized Hall State journal, March 2011

Effect of Landau level mixing on the effective interaction between electrons in the fractional quantum Hall regime journal, September 2009

Ground state of a two-dimensional electron liquid in a weak magnetic field journal, July 1996

Competition between quantum-liquid and electron-solid phases in intermediate Landau levels journal, March 2004

Insulating phases of two-dimensional electrons in high Landau levels: Observation of sharp thresholds to conduction journal, October 1999

Strongly anisotropic transport in higher two-dimensional Landau levels journal, January 1999

Quantum Hall Ferromagnetism in Graphene journal, June 2006

Composite-fermion approach for the fractional quantum Hall effect journal, July 1989

Charge-Density-Wave Ordering in Half-Filled High Landau Levels journal, August 1999

Landau level mixing in the perturbative limit journal, April 2013

More realistic Hamiltonians for the fractional quantum Hall regime in GaAs and graphene journal, June 2013

Depinning transition of bubble phases in a high Landau level journal, March 2015

Scaling approach to the phase diagram of quantum Hall systems journal, September 2003

Fractional Quantum Hall Phase Transitions and Four-Flux States in Graphene
journal, August 2013

Dynamical Properties of the Pinned Wigner Crystal
journal, April 1998

Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
journal, August 1983

Fermi-liquid-like state in a half-filled Landau level
journal, February 1994

Observation of the fractional quantum Hall effect in graphene
journal, November 2009

Exact results for interacting electrons in high Landau levels
journal, August 1996

Evidence of a First-Order Phase Transition Between Wigner-Crystal and Bubble Phases of 2D Electrons in Higher Landau Levels
journal, October 2004

Quantum Phase Transitions and the $ν = 5 / 2$ Fractional Hall State in Wide Quantum Wells
journal, December 2012

Electron interactions in graphene in a strong magnetic field
journal, October 2006

The electronic properties of graphene
journal, January 2009

Activation gaps for the fractional quantum Hall effect: realistic treatment of transverse thickness
journal, September 1999

Contrasting energy scales of reentrant integer quantum Hall states
journal, November 2012

Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
journal, January 1996

Broken rotation symmetry in the fractional quantum Hall system
journal, February 1996

Two-dimensional gas of massless Dirac fermions in graphene
journal, November 2005

Landau level mixing and the fractional quantum Hall effect
journal, June 2013

Electronic properties of graphene in a strong magnetic field
journal, November 2011

Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
journal, May 1983

Liquid-solid transition and the fractional quantum-Hall effect
journal, July 1984

Phase Diagram of the $ν = 5 / 2$ Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero Width
journal, April 2015

Unconventional Integer Quantum Hall Effect in Graphene
journal, September 2005

Multicomponent fractional quantum Hall effect in graphene
journal, May 2011

Electric Field Effect in Atomically Thin Carbon Films
journal, October 2004

Liquid-crystal phases of quantum Hall systems
journal, March 1999

Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene
journal, September 2012

Nonequilibrium transport in density-modulated phases of the second Landau level
journal, May 2015

Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels
journal, December 2000

Microwave spectroscopic observation of distinct electron solid phases in wide quantum wells
journal, June 2014

Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene
journal, October 2009

Infinite density matrix renormalization group for multicomponent quantum Hall systems
journal, January 2015

Mobility gap in fractional quantum Hall liquids: Effects of disorder and layer thickness
journal, August 2005

Observation of Reentrant Integer Quantum Hall States in the Lowest Landau Level
journal, July 2012

Effects of Landau Level Mixing on the Fractional Quantum Hall Effect in Monolayer Graphene
journal, August 2014

Collective Nature of the Reentrant Integer Quantum Hall States in the Second Landau Level
journal, February 2012

Magneto-roton theory of collective excitations in the fractional quantum Hall effect
journal, February 1986

Microscopic theory of the reentrant integer quantum Hall effect in the first and second excited Landau levels
journal, December 2003

Breaking of Particle-Hole Symmetry by Landau Level Mixing in the $ν = 5 / 2$ Quantized Hall State
journal, March 2011

Effect of Landau level mixing on the effective interaction between electrons in the fractional quantum Hall regime
journal, September 2009

Ground state of a two-dimensional electron liquid in a weak magnetic field
journal, July 1996

Competition between quantum-liquid and electron-solid phases in intermediate Landau levels
journal, March 2004

Insulating phases of two-dimensional electrons in high Landau levels: Observation of sharp thresholds to conduction
journal, October 1999

Strongly anisotropic transport in higher two-dimensional Landau levels
journal, January 1999

Quantum Hall Ferromagnetism in Graphene
journal, June 2006

Composite-fermion approach for the fractional quantum Hall effect
journal, July 1989

Charge-Density-Wave Ordering in Half-Filled High Landau Levels
journal, August 1999

Landau level mixing in the perturbative limit
journal, April 2013

More realistic Hamiltonians for the fractional quantum Hall regime in GaAs and graphene
journal, June 2013

Depinning transition of bubble phases in a high Landau level
journal, March 2015

Scaling approach to the phase diagram of quantum Hall systems
journal, September 2003