Spin and density longitudinal response of quantum dots in time-dependent local-spin-density approximation

TL;DR

This paper investigates the spin and density responses of quantum dots under magnetic fields using local spin density functional theory, revealing mode couplings, oscillations related to filling factors, and instabilities at certain conditions.

Contribution

It introduces a detailed analysis of coupled spin and density modes in quantum dots and presents an analytical model matching microscopic spectra.

Findings

Spin dipole mode overlaps with single particle excitations.

Magnetoplasmon modes can be excited by spin operators in spin-polarized dots.

Spin dipole mode becomes unstable at certain filling factors.

Abstract

The longitudinal dipole response of a quantum dot has been calculated in the far-infrared regime using local spin density functional theory. We have studied the coupling between the collective spin and density modes as a function of the magnetic field. We have found that the spin dipole mode and single particle excitations have a sizeable overlap, and that the magnetoplasmon modes can be excited by the dipole spin operator if the dot is spin polarized. The frequency of the dipole spin edge mode presents an oscillation which is clearly filling factor ($\nu$) related. We have found that the spin dipole mode is especially soft for even $\nu$ values, becoming unstable for magnetic fields in the region $1 < \nu \leq 2$. Results for selected number of electrons and confining potentials are discussed. An analytical model which reproduces the main features of the microscopic spectra has been developed.