Odd-Integer Quantum Hall Effect in Graphene: Interaction and Disorder Effects

Details Odd-Integer Quantum Hall Effect in Graphene: Interaction and Disorder Effects Odd-Integer Quantum Hall Effect in Graphene: Interaction and Disorder Effects

2007-06-04

arxiv.org/abs/0706.0371v2

Phys. Rev. Lett. 99, 196802 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.99.196802

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 $\nu=1$ and $\nu=3$ IQHE states are revealed in the lowest two Dirac Landau levels. However, the critical disorder strength above which the $\nu=3$ IQHE is destroyed is much smaller than that for the $\nu=1$ IQHE, which may explain the absence of a $\nu=3$ 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 $\nu=1$ IQHE state is a Dirac valley and sublattice polarized Ising pseudospin ferromagnet, while the $\nu=3$ state is an $xy$ plane polarized pseudospin ferromagnet.

Affiliated with

Also associated with

No associations

Rating

Odd-Integer Quantum Hall Effect in Graphene: Interaction and Disorder Effects does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Odd-Integer Quantum Hall Effect in Graphene: Interaction and Disorder Effects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Odd-Integer Quantum Hall Effect in Graphene: Interaction and Disorder Effects will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-726625