Composite Fermion Picture for Multi-Component Plasmas in 2D Electron-Hole Systems in a Strong Magnetic Field

TL;DR

This paper develops a generalized composite Fermion model for multi-component 2D electron-hole plasmas in strong magnetic fields, predicting low-energy states and incompressible fluids through numerical and theoretical methods.

Contribution

It introduces a novel composite Fermion framework incorporating multiple Chern--Simons charges to describe complex multi-component plasmas.

Findings

Numerical calculations of binding energies and angular momenta of excitonic complexes.

Identification of incompressible fluid ground states in multi-component systems.

Validation of the generalized CF model in predicting low-lying states across magnetic field strengths.

Abstract

Low lying states of a 2D electron-hole system contain electrons and one or more types of charged excitonic complexes. Binding energies and angular momenta of these excitonic ions, and the pseudopotentials describing their interactions with electrons and with one another are obtained from numerical studies of small systems. Incompressible fluid ground states of such multi-component plasmas are found in exact numerical diagonalizations. A generalized composite Fermion (CF) picture involving Chern--Simons charges and fluxes of different types is proposed and shown to predict the low lying states at any value of the magnetic field.