Incompressible states of negatively charged magneto-excitons

Details Incompressible states of negatively charged magneto-excitons Incompressible states of negatively charged magneto-excitons

1998-10-07

arxiv.org/abs/cond-mat/9810081v1

Physica B 256-258, 490 (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTeX + 2 EPS figures formatted in the text with epsf.sty; to appear in Physica B

Scientific paper

10.1016/S0921-4526(98)00503-1

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.

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