TY - JOUR
T1 - Odd-integer quantum hall effect in graphene
T2 - Interaction and disorder effects
AU - Sheng, L.
AU - Sheng, D. N.
AU - Haldane, F. D.M.
AU - Balents, Leon
PY - 2007/11/6
Y1 - 2007/11/6
N2 - We study the competition between the long-range Coulomb interaction, disorder scattering, and lattice effects in the integer quantum Hall effect (IQHE) in graphene. By direct transport calculations, both ν=1 and ν=3 IQHE states are revealed in the lowest two Dirac Landau levels. However, the critical disorder strength above which the ν=3 IQHE is destroyed is much smaller than that for the ν=1 IQHE, which may explain the absence of a ν=3 plateau in recent experiments. While the excitation spectrum in the IQHE phase is gapless within numerical finite-size analysis, we do find and determine a mobility gap, which characterizes the energy scale of the stability of the IQHE. Furthermore, we demonstrate that the ν=1 IQHE state is a Dirac valley and sublattice polarized Ising pseudospin ferromagnet, while the ν=3 state is an xy plane polarized pseudospin ferromagnet.
AB - We study the competition between the long-range Coulomb interaction, disorder scattering, and lattice effects in the integer quantum Hall effect (IQHE) in graphene. By direct transport calculations, both ν=1 and ν=3 IQHE states are revealed in the lowest two Dirac Landau levels. However, the critical disorder strength above which the ν=3 IQHE is destroyed is much smaller than that for the ν=1 IQHE, which may explain the absence of a ν=3 plateau in recent experiments. While the excitation spectrum in the IQHE phase is gapless within numerical finite-size analysis, we do find and determine a mobility gap, which characterizes the energy scale of the stability of the IQHE. Furthermore, we demonstrate that the ν=1 IQHE state is a Dirac valley and sublattice polarized Ising pseudospin ferromagnet, while the ν=3 state is an xy plane polarized pseudospin ferromagnet.
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U2 - 10.1103/PhysRevLett.99.196802
DO - 10.1103/PhysRevLett.99.196802
M3 - Article
C2 - 18233102
AN - SCOPUS:35948943118
SN - 0031-9007
VL - 99
JO - Physical review letters
JF - Physical review letters
IS - 19
M1 - 196802
ER -