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

The purpose of The present project is to investigate versatile phases arising from spin and/or layrdegrees of freedom in the fractional quantum Hall (FQH) system. in the 1995年，我们已经focussed on the composite fermion picture for the double-layr FQH system. In a double systemthe strength of inter-layr tunnelling enters as a new energy scale.We have found the followingcomposite fermion picture is a good approximation even for The excited states （pseudo-spin wave）in double-layr系统我们可以描述the double-layr FQH系统with the phase diagram on thetunneling strength and the layr separation. the quantum Hall region is identified from a finitein the low-lying excitation (which is exactly the pseudo-spin wave). the composite picture hasenabled 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 whilekeeping the tunnelling unchanged. We have a vertically coupled double dot if We confine theelectrons in a double-layr into quantum dots.我们已经支持这个系统，(i) there is a series of new magic numbers in the total angular momentumspecific to double dots (ii) these magic numbers may be observed with the optical absorption。

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.