Numerical study of quantum Hall effect in two-dimensional multi-band system: single- and multi-layer graphene

Abstract

The Chern numbers which correspond to quantized Hall conductance ${\sigma }_{xy}$ were calculated for single- and bi-layer honeycomb lattices. The quantization of ${\sigma }_{xy}$ occurs in entire energy range. Several large jumps of Chern numbers appear at van-Hove singularities of energy bands without magnetic fields. The plateauxof ${\sigma }_{xy}$ are discussed from semi-classical quantization.

4 pages, submitted to Physica E as EP2DS-18 proceedings

References in corpus (5)

• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Electronic states and Landau levels in graphene stacks
• Transport in Bilayer Graphene: Calculations within a self-consistent Born approximation
• Quantum Hall effects of graphene with multi orbitals: Topological numbers, Boltzmann conductance and Semi-classical quantization
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Cited by in corpus (2)

• Unconventional Topological Hall Effect in Skyrmion Crystals Caused by the Topology of the Lattice
• Magnetotransport of Functional Oxide Heterostructures Affected by Spin-Orbit Coupling: A Tale of Two-Dimensional Systems