Energy, interaction, and photoluminescence of spin-reversed quasielectrons in fractional quantum Hall systems

Abstract

The energy and photoluminescence spectra of a two-dimensional electron gas in the fractional quantum Hall regime are studied. The single-particle properties of reversed-spin quasielectrons (QE${}_{\mathrm{R}}$'s) as well as the pseudopotentials of their interaction with one another and with Laughlin quasielectrons (QE's) and quasiholes (QH's) are calculated. Based on the short-range character of the QE${}_{\mathrm{R}}$--QE${}_{\mathrm{R}}$ and QE${}_{\mathrm{R}}$--QE repulsion, the partially unpolarized incompressible states at the filling factors $\nu =\frac{4}{11}$ and $\frac{5}{13}$ are postulated within Haldane's hierarchy scheme. To describe photoluminescence, the family of bound $h($QE${}_{\mathrm{R}}{)}_n$ states of a valence hole $h$ and $n$ QE${}_{\mathrm{R}}$'s are predicted in analogy to the found earlier fractionally charged excitons $h$QE${}_n$. The binding energy and optical selection rules for both families are compared. The $h$QE${}_{\mathrm{R}}$ is found radiative in contrast to the dark $h$QE, and the $h($QE${}_{\mathrm{R}}{)}_2$ is found non-radiative in contrast to the bright $h$QE${}_2$.

9 pages, 6 figures

References in corpus (1)

• Interaction and Particle-Hole Symmetry of Laughlin Quasiparticles

Cited by in corpus (11)

• Fractional Quantum Hall States of Clustered Composite Fermions
• Evidence of Landau levels and interactions in low-lying excitations of composite fermions at 1/3 <= ν<= 2/5
• Spin excitation spectra of integral and fractional quantum Hall systems
• Spin phase diagram of the nu_e=4/11 composite fermion liquid
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Light scattering observations of spin reversal excitations in the fractional quantum Hall regime
• Spin instabilities and quantum phase transitions in integral and fractional quantum Hall states
• Integral and fractional Quantum Hall Ising ferromagnets
• Skyrmions in integral and fractional quantum Hall systems
• Nuclear spin relaxation in integral and fractional quantum Hall systems
• Light Scattering by Low Lying Quasiparticle Excitations in the Fractional Quantum Hall Regime