Universal scaling and diagonal conductivity in the integral quantum Hall effect

Article

关键词: STRONG MAGNETIC-FIELD;    RANDOM MATRIX MODEL;    TRANSITION;    DELOCALIZATION;    STATES;    INSULATOR;    BEHAVIOR;    SYSTEMS;    REGIME;   

DOI  :  10.1103/PhysRevB.57.14829

来源: SCIE

【 摘 要 】

We perform a numerical finite-size study for the static homogeneous diagonal conductivity sigma(xx) at the critical filling factor 3/2 for different microscopic realizations of the random impurity potential. The variation of sigma(xx) with the system size defines a scaling function. It turns out to be independent of the particular realization of disorder and also of the Landau-level index. However, the diagonal conductivity in the second-lowest Landau level varies strongly with disorder. The universal critical conductivity is recovered only asymptotically when the correlation length of the potential is increased.

【 授权许可】

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