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】
Free