Two-Dimensional Electron-Hole Systems in a Strong Magnetic Field: Composite Fermion Picture for Multi-Component Plasmas

TL;DR

This paper investigates two-dimensional electron-hole systems in strong magnetic fields, demonstrating that a generalized composite fermion approach accurately predicts low-energy states and incompressible ground states in multi-component plasmas.

Contribution

It introduces a generalized multi-component Laughlin wavefunction and composite fermion model for electron-hole systems, extending understanding of their low-energy states under strong magnetic fields.

Findings

Incompressible ground states of multi-component plasmas identified.

Generalized wavefunction and composite fermion model successfully predict low-lying states.

Bound charged excitonic complexes are characterized and analyzed.

Abstract

Electron-hole systems on a Haldane sphere are studied by exact numerical diagonalization. Low lying states contain one or more types of bound charged excitonic complexes Xk-, interacting through appropriate pseudopotentials. Incompressible ground states of such multi-component plasmas are found. A generalized multi-component Laughlin wavefunction and composite Fermion picture are shown to predict the low lying states of an electron-hole gas at any value of the magnetic field.