New universality of metal-insulator transition in integer quantum Hall effect system

Details New universality of metal-insulator transition in integer quantum Hall effect system New universality of metal-insulator transition in integer quantum Hall effect system

1997-10-11

arxiv.org/abs/cond-mat/9710108v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, Revtex; 4 Postscript figures

Scientific paper

10.1103/PhysRevLett.80.580

A new universality of metal-insulator transition in integer quantum Hall effect (IQHE) system is studied based on a lattice model, where the IQHE states only exist within a finite range of Fermi energy in the presence of disorders. A two-parameter scaling law is found at the high-energy boundary where direct transitions from high IQHE states to insulator occur. We find $\rho_{xx}= \rho_{xy}$ at the critical point whose value can continuously vary as a single function of the Landau-level filling number $n_{\nu}$. Such a new universality well explains recent experiment by Song et al. (Phys. Rev. Lett. 78, 2200 (1997)).

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