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Related Experiment Videos

Odd-integer quantum Hall effect in graphene: interaction and disorder effects.

L Sheng1, D N Sheng, F D M Haldane

  • 1Department of Physics and Texas Center for Superconductivity, University of Houston, Houston, TX 77204, USA.

Physical Review Letters
|February 1, 2008
PubMed
Summary
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We investigated the integer quantum Hall effect (IQHE) in graphene, finding that disorder destroys the nu=3 state more easily than the nu=1 state. This explains why the nu=3 plateau is often absent in experiments.

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • The integer quantum Hall effect (IQHE) in graphene exhibits complex behavior influenced by electron interactions and disorder.
  • Understanding the stability and nature of different IQHE states is crucial for fundamental physics and potential applications.

Purpose of the Study:

  • To investigate the interplay of Coulomb interactions, disorder scattering, and lattice effects on IQHE states in graphene.
  • To determine the critical disorder strength for the stability of nu=1 and nu=3 IQHE states.
  • To characterize the nature of the IQHE ground states in graphene.

Main Methods:

  • Direct transport calculations were employed to simulate IQHE phenomena in graphene.
  • Numerical finite-size analysis was used to study the excitation spectrum and determine the mobility gap.

Related Experiment Videos

  • Theoretical analysis was performed to identify the magnetic ordering of the IQHE states.

    • Main Results:

    • Both nu=1 and nu=3 IQHE states were identified in the lowest two Dirac Landau levels.
    • The critical disorder strength for the nu=3 state is significantly lower than for the nu=1 state.
    • A mobility gap was determined, characterizing the stability of the IQHE phase.
    • The nu=1 IQHE state was identified as a Dirac valley and sublattice polarized Ising pseudospin ferromagnet.
    • The nu=3 IQHE state was identified as an xy plane polarized pseudospin ferromagnet.

    Conclusions:

    • Disorder plays a critical role in the stability of IQHE states in graphene, explaining experimental observations of absent nu=3 plateaus.
    • The identified pseudospin ferromagnetic orders provide insights into the fundamental nature of these quantum states.
    • The determined mobility gap offers a quantitative measure for the robustness of the IQHE in graphene systems.