Two-component theory of a droplet of electrons in half-filled Landau level

TL;DR

This paper develops a two-component theory for electrons in a half-filled Landau level, describing low-energy excitations and edge phenomena in quantum dots, using trial wave functions and exact diagonalization.

Contribution

It introduces a novel two-component composite fermion liquid model for describing low-energy excitations in half-filled Landau levels.

Findings

Construction of many-body basis states for low-energy excitations

Prediction of edge magnetoplasmons in the droplet

Feasibility of measuring excitations in quantum dots

Abstract

We have investigated low energy excitations of a disk of electrons in half-filled Landau level using trail wave function and small-size exact diagonalization approaches. We have constructed a set of many-body basis states that describe correctly the low energy excitations. In this theory a droplet consists of two types of composite fermion liquids, and suggests that a droplet can support an edge magnetoplasmon and low energy droplet excitations. A possibility of measuring these excitations in a quantum dot is discussed.