2009/07/23 by Shun-Li Yu, Jian-Xin Li, Li Sheng · 1 citation
Physics and Astronomy · #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.80.193304
published as Phys. Rev. B 80, 193304 (2009) · 5 pages, 4 figures
arxiv created 2009/07/23 · arxiv updated 2009/12/01
We study the quantum Hall effect(QHE) on the Kagomé lattice with anisotropy in one of the hopping integrals. We find a new type of QHE characterized by the quantization rules for Hall conductivity σxy=2ne2/h and Landau Levels E(n)=± vF√((n+1/2)ℏ Be) (n is an integer), which is different from any known type. This phase evolves from the QHE phase with σxy=4(n+1/2)e2/h and E(n)=± vF√(2nℏ 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.