MULTIFRACTAL ANALYSIS OF DISORDER INDUCED METAL-INSULATOR TRANSITIONS

被引：16

作者：

FASTENRATH, U ^{[1
]}

JANSSEN, M ^{[1
]}

POOK, W ^{[1
]}

机构：

[1] UNIV COLOGNE,INST THEORET PHYS,W-5000 COLOGNE 41,GERMANY

来源：

PHYSICA A | 1992年 / 191卷 / 1-4期

关键词：

D O I：

10.1016/0378-4371(92)90557-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a physical picture for the multifractal nature of mesoscopic observables at the disorder induced metal-insulator transition (MIT) and present their scaling laws in terms of normalized observables. We calculate the f(alpha) spectrum of the Thouless numbers at the MIT point of the lowest Landau band of a quantum Hall system and thereby establish an alternative method to finite size scaling for calculating critical exponents. We conclude that the MIT of a quantum Hall system shows universal one-parameter scaling.

引用

页码：401 / 405

页数：5

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