Symmetry background of the fractional Aharonov-Bohm oscillation and an oscillation in dipole-transitions of narrow quantum rings with a few-electrons

TL;DR

This paper analytically investigates the symmetry properties and oscillation phenomena in the low-energy spectrum of few-electron narrow quantum rings under magnetic fields, revealing the symmetry origin of fractional Aharonov-Bohm oscillations and strong dipole transition oscillations.

Contribution

It provides an analytical analysis of the symmetry background of fractional Aharonov-Bohm oscillations and identifies strong dipole transition oscillations in three-electron rings.

Findings

Symmetry background of fractional Aharonov-Bohm oscillation revealed

Strong oscillation in dipole transitions observed

Phase diagram of ground state band constructed

Abstract

The low-lying spectrum of a 3-electron narrow ring has been analyzed analytically. A phase-diagram for the ground state band against the magnetic field and the radius of the ring is obtained. The symmetry background of the fractional Aharonov-Bohm oscillation has been revealed. A very strong oscillation in the dipole transition is found. The discussion can be generalized to N-electron rings.