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Zero-energy modes and valley asymmetry in the Hofstadter spectrum of bilayer graphene van der Waals heterostructures with hBN

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Zero-energy modes and valley asymmetry in the Hofstadter spectrum of bilayer graphene van der Waals heterostructures with hBN. / Chen, Xi; Wallbank, John; Mucha-Kruczynski, Marcin et al.
In: Physical review B, Vol. 94, No. 4, 045442, 29.07.2016.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Chen, X, Wallbank, J, Mucha-Kruczynski, M, McCann, E & Falko, V 2016, 'Zero-energy modes and valley asymmetry in the Hofstadter spectrum of bilayer graphene van der Waals heterostructures with hBN', Physical review B, vol. 94, no. 4, 045442. https://doi.org/10.1103/PhysRevB.94.045442

APA

Chen, X., Wallbank, J., Mucha-Kruczynski, M., McCann, E., & Falko, V. (2016). Zero-energy modes and valley asymmetry in the Hofstadter spectrum of bilayer graphene van der Waals heterostructures with hBN. Physical review B, 94(4), Article 045442. https://doi.org/10.1103/PhysRevB.94.045442

Vancouver

Chen X, Wallbank J, Mucha-Kruczynski M, McCann E, Falko V. Zero-energy modes and valley asymmetry in the Hofstadter spectrum of bilayer graphene van der Waals heterostructures with hBN. Physical review B. 2016 Jul 29;94(4):045442. doi: 10.1103/PhysRevB.94.045442

Author

Chen, Xi ; Wallbank, John ; Mucha-Kruczynski, Marcin et al. / Zero-energy modes and valley asymmetry in the Hofstadter spectrum of bilayer graphene van der Waals heterostructures with hBN. In: Physical review B. 2016 ; Vol. 94, No. 4.

Bibtex

@article{23f0c97b279042dda3a2c6e56b569ffa,
title = "Zero-energy modes and valley asymmetry in the Hofstadter spectrum of bilayer graphene van der Waals heterostructures with hBN",
abstract = "We investigate the magnetic minibands of a heterostructure consisting of bilayer graphene (BLG) and hexagonal boron nitride (hBN) by numerically diagonalizing a two-band Hamiltonian that describes electrons in BLG in the presence of a moir{\'e} potential. Due to inversion-symmetry breaking characteristic for the moir{\'e} potential, the valley symmetry of the spectrum is broken, but despite this, the zero-energy Landau level in BLG survives, albeit with reduced degeneracy. In addition, we derive effective models for the low-energy features in the magnetic minibands and demonstrate the appearance of secondary Dirac points in the valence band, which we confirm by numerical simulations. Then, we analyze how single-particle gaps in the fractal energy spectrum produce a sequence of incompressible states observable under a variation of carrier density and magnetic field.",
author = "Xi Chen and John Wallbank and Marcin Mucha-Kruczynski and Edward McCann and Vladimir Falko",
year = "2016",
month = jul,
day = "29",
doi = "10.1103/PhysRevB.94.045442",
language = "English",
volume = "94",
journal = "Physical review B",
issn = "1098-0121",
publisher = "AMER PHYSICAL SOC",
number = "4",

}

RIS

TY - JOUR

T1 - Zero-energy modes and valley asymmetry in the Hofstadter spectrum of bilayer graphene van der Waals heterostructures with hBN

AU - Chen, Xi

AU - Wallbank, John

AU - Mucha-Kruczynski, Marcin

AU - McCann, Edward

AU - Falko, Vladimir

PY - 2016/7/29

Y1 - 2016/7/29

N2 - We investigate the magnetic minibands of a heterostructure consisting of bilayer graphene (BLG) and hexagonal boron nitride (hBN) by numerically diagonalizing a two-band Hamiltonian that describes electrons in BLG in the presence of a moiré potential. Due to inversion-symmetry breaking characteristic for the moiré potential, the valley symmetry of the spectrum is broken, but despite this, the zero-energy Landau level in BLG survives, albeit with reduced degeneracy. In addition, we derive effective models for the low-energy features in the magnetic minibands and demonstrate the appearance of secondary Dirac points in the valence band, which we confirm by numerical simulations. Then, we analyze how single-particle gaps in the fractal energy spectrum produce a sequence of incompressible states observable under a variation of carrier density and magnetic field.

AB - We investigate the magnetic minibands of a heterostructure consisting of bilayer graphene (BLG) and hexagonal boron nitride (hBN) by numerically diagonalizing a two-band Hamiltonian that describes electrons in BLG in the presence of a moiré potential. Due to inversion-symmetry breaking characteristic for the moiré potential, the valley symmetry of the spectrum is broken, but despite this, the zero-energy Landau level in BLG survives, albeit with reduced degeneracy. In addition, we derive effective models for the low-energy features in the magnetic minibands and demonstrate the appearance of secondary Dirac points in the valence band, which we confirm by numerical simulations. Then, we analyze how single-particle gaps in the fractal energy spectrum produce a sequence of incompressible states observable under a variation of carrier density and magnetic field.

U2 - 10.1103/PhysRevB.94.045442

DO - 10.1103/PhysRevB.94.045442

M3 - Journal article

VL - 94

JO - Physical review B

JF - Physical review B

SN - 1098-0121

IS - 4

M1 - 045442

ER -