Scaling properties of conductance at integer quantum Hall plateau transitions

Article

关键词: INSULATOR-TRANSITION;    LOCALIZATION;    FLUCTUATIONS;    UNIVERSALITY;    CONDUCTIVITY;    TRANSMISSION;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.58.3576

来源: SCIE

【 摘 要 】

We investigate the scaling properties of zero-temperature conductances at integer quantum Hall plateau transitions in the lowest Landau band of a two-dimensional tight-binding model. Scaling is obeyed for all energy and system sizes with critical exponent v approximate to 7/3. The arithmetic average of the conductance at the localization-delocalization critical point is found to be [G](c) = 0.506e(2)/h, in agreement with the universal longitudinal conductance [sigma(xx)] = 1/2e(2)/h predicted by an analytical theory. The probability distribution of the conductance at the critical point is broad with a dip at small G.

【 授权许可】

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