Quantum Phase Transition in Hall Conductivity on an Anisotropic Kagome Lattice

Details Quantum Phase Transition in Hall Conductivity on an Anisotropic Kagome Lattice Quantum Phase Transition in Hall Conductivity on an Anisotropic Kagome Lattice

2009-07-23

arxiv.org/abs/0907.4023v1

Phys. Rev. B 80, 193304 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevB.80.193304

We study the quantum Hall effect(QHE) on the Kagom\'{e} lattice with anisotropy in one of the hopping integrals. We find a new type of QHE characterized by the quantization rules for Hall conductivity $\sigma_{xy}=2ne^{2}/h$ and Landau Levels $E(n)=\pm v_{F}\sqrt{(n+1/2)\hbar Be}$ ($n$ is an integer), which is different from any known type. This phase evolves from the QHE phase with $\sigma_{xy}=4(n+1/2)e^{2}/h$ and $E(n)=\pm v_{F}\sqrt{2n\hbar Be}$ in the isotropic case, which is realized in a system with massless Dirac fermions (such as in graphene). The phase transition does not occur simultaneously in all Hall plateaus as usual but in sequence from low to high energies, with the increase of hopping anisotropy.

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