Spontaneous Coherence and Collective Modes in Double-Layer Quantum Dot Systems

TL;DR

This paper investigates the ground states and collective excitations of double-layer quantum dots under strong magnetic fields, revealing regimes where electrons form droplet states analogous to quantum Hall states, and explores edge excitation relationships.

Contribution

It identifies parameter regimes for maximum density droplet states in double-layer quantum dots and applies Hartree-Fock methods to analyze their excitations.

Findings

Maximum density droplet states occur in specific parameter regimes.

Hartree-Fock and time-dependent Hartree-Fock effectively describe ground and excited states.

Edge excitations relate to bulk magneto-plasmon modes.

Abstract

We study the ground state and the collective excitations of parabolically-confined double-layer quantum dot systems in a strong magnetic field. We identify parameter regimes where electrons form maximum density droplet states, quantum-dot analogs of the incompressible states of the bulk integer quantum Hall effect. In these regimes the Hartree-Fock approximation and the time-dependent Hartree-Fock approximations can be used to describe the ground state and collective excitations respectively. We comment on the relationship between edge excitations of dots and edge magneto-plasmon excitations of bulk double-layer systems.