Excitonic Ions and Pseudopotentials in 2D Systems: Evidence for Quantum Hall States of an X- Gas

TL;DR

This paper investigates excitonic ions in 2D systems using exact diagonalization, revealing pseudopotentials and evidence for quantum Hall states of excitonic gases, including a nu=1/3 state of three X- ions.

Contribution

It introduces the calculation of pseudopotentials for excitonic complexes and demonstrates the potential for quantum Hall states in excitonic gases.

Findings

Identification of bound excitonic complexes like (X^n)-

Determination of their angular momenta and pseudopotentials

Evidence for a nu=1/3 quantum Hall state of X- ions

Abstract

Systems of up to twelve electrons and six holes on the Haldane sphere are studied by exact numerical diagonalization. The low lying states of the system involve bound excitonic complexes such as (X^n)-. The angular momenta of these complexes and the pseudopotentials describing their interaction are determined. The similarity to the electron pseudopotential suggests the possibility of incompressible ground states of a gas of X- ions for nu<=1/3. The nu=1/3 state of three X-'s is found.