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Strongly correlated phases arising from spin and layr degrees of freedom in the fractional quantum Hall system

分数量子霍尔系统中自旋和层自由度产生的强相关相位

基本信息

批准号：
06640500
负责人：
AOKI Hideo
金额：
$ 0.9万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1994
资助国家：
日本
起止时间：
1994 至 1995
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-06640500/
关键词：
fractional quantum Hall effect composite particle picture strong correlation spin degrees of freedom double quantum well quantum dot 電子相関

项目摘要

The purpose of the present project is to investigate versatile phases arising from spin and/or layr degrees of freedom in the fractional quantum Hall (FQH) system. In the 1995 fiscal year, we have focussed on the composite fermion picture for the double-layr FQH system. In a double system the strength of inter-layr tunnelling enters as a new energy scale.We have found the following :・ The composite fermion picture is a good approximation even for the excited states (pseudo-spin wave) in double-layr systems.・ We can describe the double-layr FQH system with the phase diagram on the tunneling strength and the layr separation. The quantum Hall region is identified from a finite gap in the low-lying excitation (which is exactly the pseudo-spin wave). The composite picture has enabled us to obtaine for the first time the phase diagram for the fractional double-layr system. The quantum Hall region widens dramatically as the Landau-level filling degreases to 1/3,1/5, ..., which is due to the fact that the composite-particle transformation diminishes the interaction while keeping the tunnelling unchanged.・ We have a vertically coupled double dot if we confine the electrons in a double-layr into quantum dots. We have proposed this system, and have shown that (i) there is a series of new magic numbers in the total angular momentum specific to double dots, and (ii) these magic numbers may be observed with the optical absorption.

本项目的目的是研究分数量子霍尔（FQH）系统中自旋和/或层自由度产生的多相。在1995财年，我们重点研究了双层FQH系统的复合费米子图。在双层体系中，层间掘进强度作为一种新的能量尺度进入。我们发现：·复合费米子图像即使对于双层系统中的激发态（伪自旋波）也是一个很好的近似。·我们可以用隧道强度和层间距的相图来描述双层FQH系统。量子霍尔区是从低洼激发（即伪自旋波）的有限间隙中识别出来的。合成图使我们首次获得了分数双层体系的相图。当朗道能级填充物降至1/3、1/5、…时，量子霍尔区域急剧变宽。这是由于复合粒子转变在保持隧穿不变的同时减小了相互作用。•如果我们将双层中的电子限制在量子点中，我们就会有一个垂直耦合的双点。我们提出了这一体系，并证明了：(1)双点的总角动量中存在一系列新的幻数，(2)这些幻数可以用光学吸收观测到。