Semiclassical approximation for transmission through open Sinai billiards |
| |
| Authors: | Cai Xiang-Ji Zhang Yan-Hui Li Zong-Liang Jiang Guo-Hui Yang Qin-Nan Xu Xue-You |
| |
| Affiliation: | a College of Physics and Electronics, Shandong Normal University, Jinan 250014, China;b Information Research Institute, Shandong Academy of Sciences, Jinan 250014, China |
| |
| Abstract: | We use a semiclassical approximation to study the transport through the weakly open chaotic Sinai quantum billiards which can be considered as the schematic of a Sinai mesoscopic device, with the diffractive scatterings at the lead openings taken into account. The conductance of the ballistic microstructure which displays universal fluctuations due to quantum interference of electrons can be calculated by Landauer formula as a function of the electron Fermi wave number, and the transmission amplitude can be expressed as the sum over all classical paths connecting the entrance and the exit leads. For the Sinai billiards, the path sum leads to an excellent numerical agreement between the peak positions of power spectrum of the transmission amplitude and the corresponding lengths of the classical trajectories, which demonstrates a good agreement between the quantum theory and the semiclassical theory. |
| |
| Keywords: | Sinai billiards transmission amplitude classical trajectories power spectrum |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
|
点击此处可从《中国物理 B》下载免费的PDF全文 |
|
