Incompressible states of negatively charged magneto-excitons

TL;DR

This paper investigates negatively charged magneto-excitons using exact-diagonalization, revealing their bound states, scattering properties similar to electrons, and potential to exhibit fractional quantum Hall effects.

Contribution

It introduces a detailed analysis of negatively charged magneto-excitons, showing their behavior akin to electrons and identifying fractional quantum Hall states in this system.

Findings

X- states are bound and behave like charged particles.

X-:X- scattering pseudopotential resembles that of electrons.

Analogues of Laughlin and Jain states are observed.

Abstract

We study the system of up to four negatively charged magneto-excitons (X-'s) in the spherical geometry, using the exact-diagonalization techniques. At low energies, X-'s are bound and behave like charged particles without internal dynamics. The pseudopotential describing X-:X- scattering is almost identical to that of electrons and the low-lying few X- states correspond to the few-electron states. The total angular momentum of the ground state depends on the effective filling factor nu and vanishes at its special values. The analogs to the Laughlin nu=1/3 state and the Jain nu=2/5 state of electrons are found. The X- system is predicted to exhibit the fractional quantum Hall effect.