Imaging fractal conductance fluctuations and scarred wave functions in a quantum billiard

被引：107

作者：

Crook, R ^{[1
]}

Smith, CG ^{[1
]}

Graham, AC ^{[1
]}

Farrer, I ^{[1
]}

Beere, HE ^{[1
]}

Ritchie, DA ^{[1
]}

机构：

[1] Univ Cambridge, Dept Phys, Cambridge CB3 0HE, England

来源：

PHYSICAL REVIEW LETTERS | 2003年 / 91卷 / 24期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1103/PhysRevLett.91.246803

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present scanning-probe images and magnetic-field plots which reveal fractal conductance fluctuations in a quantum billiard. The quantum billiard is drawn and tuned using erasable electrostatic lithography, where the scanning probe draws patterns of surface charge in the same environment used for measurements. A periodicity in magnetic field, which is observed in both the images and plots, suggests the presence of classical orbits. Subsequent high-pass filtered high-resolution images resemble the predicted probability density of scarred wave functions, which describe the classical orbits.

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页数：4

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