Corrections to scaling in the integer quantum Hall effect.
Corrections to scaling in the integer quantum Hall effect.
复制标题
对整数量子霍尔效应中的缩放进行修正。
DOI：
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发表时间：
1994
影响因子：
8.6
通讯作者：
Huckestein
中科院分区：
文献类型：
--
作者：
Huckestein
通过数值计算，系统地研究了朗道能级中心标度律的有限尺寸修正。这些修正可以解释局域化长度指数的非普适性
u {}$。在次低的朗道水平上，不相关标度指数为y_{mathrm {irr}}=-0.38pm 0.04$。在最低朗道能级的中心，发现一个附加的周期势与相同的标度指数无关。这些结果表明，本地化长度指数$
u $对于朗道能级指数和附加周期势是普适的。
Finite size corrections to scaling laws in the centers of Landau levels are studied systematically by numerical calculations. The corrections can account for the apparent non-universality of the localization length exponent $
u{}$. In the second lowest Landau level the irrelevant scaling index is $y_{mathrm{irr}}=-0.38pm0.04$. At the center of the lowest Landau level an additional periodic potential is found to be irrelevant with the same scaling index. These results suggest that the localization length exponent $
u$ is universal with respect to Landau level index and an additional periodic potential.