Topological Transition of Graphene from Quantum Hall Metal to Quantum Hall Insulator at $ν=0$

Details Topological Transition of Graphene from Quantum Hall Metal to Quantum Hall Insulator at $ν=0$ Topological Transition of Graphene from Quantum Hall Metal to Quantum Hall Insulator at $ν=0$

2010-06-03

arxiv.org/abs/1006.0545v1

New. J. Phys. 13, 113008 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

The puzzle of recently observed insulating phase of graphene at filling factor $\nu=0$ in high magnetic field quantum Hall (QH) experiments is investigated. We show that the magnetic field driven Peierls-type lattice distortion (due to the Landau level degeneracy) and random bond fluctuations compete with each other, resulting in a transition from a QH-metal state at relative low field to a QH-insulator state at high enough field at $\nu=0$. The critical field that separates QH-metal from QH-insulator depends on the bond fluctuation. The picture explains well why the field required for observing the insulating phase is lower for a cleaner sample.

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