Surface criticality and multifractality at localization transitions

被引：41
作者：
Subramaniam, AR
Gruzberg, IA
Ludwig, AWW
Evers, F
Mildenberger, A
Mirlin, AD
机构：
[1] Univ Chicago, James Franck Inst, Chicago, IL 60637 USA
[2] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
[3] Forschungszentrum Karlsruhe, Inst Nanotechnol, D-76021 Karlsruhe, Germany
[4] Univ Karlsruhe, Fak Phys, D-76128 Karlsruhe, Germany
[5] Univ Karlsruhe, Inst Theorie Kondensierten Mat, D-76128 Karlsruhe, Germany
[6] Petersburg Nucl Phys Inst, St Petersburg 188350, Russia
来源：
PHYSICAL REVIEW LETTERS | 2006年 / 96卷 / 12期
关键词：
D O I：
10.1103/PhysRevLett.96.126802
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We develop the concept of surface multifractality for localization-delocalization (LD) transitions in disordered electronic systems. We point out that the critical behavior of various observables related to wave functions near a boundary at a LD transition is different from that in the bulk. We illustrate this point with a calculation of boundary critical and multifractal behavior at the 2D spin quantum Hall transition and in a 2D metal at scales below the localization length.
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页数：4
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