Fractional Hofstadter States in Graphene on Hexagonal Boron Nitride

DaSilva, Ashley M.; Jung, Jeil; MacDonald, Allan H.

doi:10.1103/PhysRevLett.117.036802

Title: Fractional Hofstadter States in Graphene on Hexagonal Boron Nitride

Authors:: DaSilva, Ashley M.; Jung, Jeil; MacDonald, Allan H.

Publication Date:: Fri Jul 15 00:00:00 EDT 2016

Sponsoring Org.:: USDOE

OSTI Identifier:: 1263697

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 117 Journal Issue: 3; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    DaSilva, Ashley M., Jung, Jeil, and MacDonald, Allan H. Fractional Hofstadter States in Graphene on Hexagonal Boron Nitride.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevLett.117.036802.

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                    DaSilva, Ashley M., Jung, Jeil, & MacDonald, Allan H. Fractional Hofstadter States in Graphene on Hexagonal Boron Nitride.  United States.  https://doi.org/10.1103/PhysRevLett.117.036802

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                    DaSilva, Ashley M., Jung, Jeil, and MacDonald, Allan H. Fri .  
"Fractional Hofstadter States in Graphene on Hexagonal Boron Nitride".  United States.  https://doi.org/10.1103/PhysRevLett.117.036802.

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@article{osti_1263697,

  title        = {Fractional Hofstadter States in Graphene on Hexagonal Boron Nitride},

  author       = {DaSilva, Ashley M. and Jung, Jeil and MacDonald, Allan H.},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.117.036802},

  journal      = {Physical Review Letters},

  number       = 3,

  volume       = 117,

  place        = {United States},

  year         = {Fri Jul 15 00:00:00 EDT 2016},

  month        = {Fri Jul 15 00:00:00 EDT 2016}

}

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Title: Fractional Hofstadter States in Graphene on Hexagonal Boron Nitride

Citation Formats

Landau-Level Splitting in Graphene in High Magnetic Fields journal, April 2006

Two-Dimensional Magnetotransport in the Extreme Quantum Limit journal, May 1982

New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance journal, August 1980

Ground state of two-dimensional electrons and the reversed spins in the fractional quantum Hall effect journal, December 1984

Landau-level subband structure of electrons on a square lattice journal, December 1983

Fractional quantum Hall effect in graphene journal, December 2006

Quantized Hall Conductance in a Two-Dimensional Periodic Potential journal, August 1982

Normal Modes in Hexagonal Boron Nitride journal, June 1966

Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices journal, June 2014

Correlation Lengths of the Wigner-Crystal Order in a Two-Dimensional Electron System at High Magnetic Fields journal, October 2002

Scanning tunnelling microscopy and spectroscopy of ultra-flat graphene on hexagonal boron nitride journal, February 2011

Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices journal, May 2013

Evidence for a fractional fractal quantum Hall effect in graphene superlattices journal, December 2015

Multicomponent fractional quantum Hall effect in graphene journal, May 2011

Cloning of Dirac fermions in graphene superlattices journal, May 2013

Graphene on incommensurate substrates: Trigonal warping and emerging Dirac cone replicas with halved group velocity journal, August 2012

The dynamics of charge-density waves journal, October 1988

Broken symmetry states for two-dimensional electrons in a strong magnetic field journal, August 1985

Composite Fermions book, January 2007

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

Local Electronic Properties of Graphene on a BN Substrate via Scanning Tunneling Microscopy journal, June 2011

Ab initio theory of moiré superlattice bands in layered two-dimensional materials journal, May 2014

Local spectroscopy of moiré-induced electronic structure in gate-tunable twisted bilayer graphene journal, October 2015

Massive Dirac Fermions and Hofstadter Butterfly in a van der Waals Heterostructure journal, May 2013

Precisely aligned graphene grown on hexagonal boron nitride by catalyst free chemical vapor deposition journal, September 2013

van der Waals Heterostructures with High Accuracy Rotational Alignment journal, February 2016

Commensurate–incommensurate transition in graphene on hexagonal boron nitride journal, April 2014

The electronic properties of graphene journal, January 2009

Boron nitride substrates for high-quality graphene electronics journal, August 2010

Origin of band gaps in graphene on hexagonal boron nitride journal, February 2015

Dynamics of Band Electrons in Electric and Magnetic Fields journal, October 1962

Quantum Hall Ferromagnetism in Graphene journal, June 2006

Broken SU(4) Symmetry and the Fractional Quantum Hall Effect in Graphene journal, March 2014

Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields journal, September 1976

Diamagnetism of Graphite journal, November 1956

Transport and particle-hole asymmetry in graphene on boron nitride journal, June 2015

Moiré butterflies in twisted bilayer graphene journal, July 2011

Emergence of superlattice Dirac points in graphene on hexagonal boron nitride journal, March 2012

Landau-Level Splitting in Graphene in High Magnetic Fields
journal, April 2006

Two-Dimensional Magnetotransport in the Extreme Quantum Limit
journal, May 1982

New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance
journal, August 1980

Ground state of two-dimensional electrons and the reversed spins in the fractional quantum Hall effect
journal, December 1984

Landau-level subband structure of electrons on a square lattice
journal, December 1983

Fractional quantum Hall effect in graphene
journal, December 2006

Quantized Hall Conductance in a Two-Dimensional Periodic Potential
journal, August 1982

Normal Modes in Hexagonal Boron Nitride
journal, June 1966

Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices
journal, June 2014

Correlation Lengths of the Wigner-Crystal Order in a Two-Dimensional Electron System at High Magnetic Fields
journal, October 2002

Scanning tunnelling microscopy and spectroscopy of ultra-flat graphene on hexagonal boron nitride
journal, February 2011

Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices
journal, May 2013

Evidence for a fractional fractal quantum Hall effect in graphene superlattices
journal, December 2015

Multicomponent fractional quantum Hall effect in graphene
journal, May 2011

Cloning of Dirac fermions in graphene superlattices
journal, May 2013

Graphene on incommensurate substrates: Trigonal warping and emerging Dirac cone replicas with halved group velocity
journal, August 2012

The dynamics of charge-density waves
journal, October 1988

Broken symmetry states for two-dimensional electrons in a strong magnetic field
journal, August 1985

Composite Fermions
book, January 2007

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

Local Electronic Properties of Graphene on a BN Substrate via Scanning Tunneling Microscopy
journal, June 2011

Ab initio theory of moiré superlattice bands in layered two-dimensional materials
journal, May 2014

Local spectroscopy of moiré-induced electronic structure in gate-tunable twisted bilayer graphene
journal, October 2015

Massive Dirac Fermions and Hofstadter Butterfly in a van der Waals Heterostructure
journal, May 2013

Precisely aligned graphene grown on hexagonal boron nitride by catalyst free chemical vapor deposition
journal, September 2013

van der Waals Heterostructures with High Accuracy Rotational Alignment
journal, February 2016

Commensurate–incommensurate transition in graphene on hexagonal boron nitride
journal, April 2014

The electronic properties of graphene
journal, January 2009

Boron nitride substrates for high-quality graphene electronics
journal, August 2010

Origin of band gaps in graphene on hexagonal boron nitride
journal, February 2015

Dynamics of Band Electrons in Electric and Magnetic Fields
journal, October 1962

Quantum Hall Ferromagnetism in Graphene
journal, June 2006

Broken SU(4) Symmetry and the Fractional Quantum Hall Effect in Graphene
journal, March 2014

Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
journal, September 1976

Diamagnetism of Graphite
journal, November 1956

Transport and particle-hole asymmetry in graphene on boron nitride
journal, June 2015

Moiré butterflies in twisted bilayer graphene
journal, July 2011

Emergence of superlattice Dirac points in graphene on hexagonal boron nitride
journal, March 2012