The exterior and interior edge states of magnetic billiards: Spectral statistics and correlations

被引：2
|
作者：
Hornberger, K
Smilansky, U
机构：
[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
[2] Weizmann Inst Sci, IL-76100 Rehovot, Israel
来源：
PHYSICA SCRIPTA | 2001年 / T90卷
关键词：
D O I：
10.1238/Physica.Topical.090a00064
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the properties of quantum states in the interior and the exterior of magnetic billiards. A weight is associated to each state, providing an objective criterion to distinguish between bulk and edge states. We define a spectral density of edge states, which is then studied statistically and semiclassically. In particular, we observe strong cross-correlations between the interior and exterior edge spectra. They are identified as the quantum signature of a classical duality of periodic orbits.
引用
收藏
页码：64 / 74
页数：11
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