Landau quantization of two-dimensional heavy holes, energy spectrum of magnetoexcitons and Auger-recombination lines
Author
Podlesny I.V.
Moskalenko, S.A.
Hakioǧlu, T.
Kiselyov, A.A.
Gherciu L.
Date
2013Source Title
Physica E: Low-Dimensional Systems and Nanostructures
Print ISSN
13869477
Volume
49
Pages
44 - 51
Language
English
Type
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Abstract
The Landau quantization of the two-dimensional (2D) heavy holes, its influence on the energy spectrum of 2D magnetoexcitons, as well as their optical orientation are studied. The Hamiltonian of the heavy holes is written in two-band model taking into account the Rashba spin-orbit coupling (RSOC) with two spin projections, but with nonparabolic dispersion law and third-order chirality terms. The most Landau levels, except three with m=0,1,2, are characterized by two quantum numbers m-3 and m for m≥3 for two spin projections correspondingly. The difference between them is determined by the third-order chirality. Four lowest Landau levels (LLLs) for heavy holes were combined with two LLLs for conduction electron, which were taken the same as they were deduced by Rashba in his theory of spin-orbit coupling (SOC) based on the initial parabolic dispersion law and first-order chirality terms. As a result of these combinations eight 2D magnetoexciton states were formed. Their energy spectrum and the selection rules for the quantum transitions from the ground state of the crystal to exciton states were determined. On this base such optical orientation effects as spin polarization and magnetoexciton alignment are discussed. The continuous transformation of the shake-up (SU) into the shake-down (SD) recombination lines is explained on the base of nonmonotonous dependence of the heavy hole Landau quantization levels as a function of applied magnetic field. © 2013 Elsevier B.V. All rights reserved.
Keywords
Applied magnetic fieldsConduction electrons
Continuous transformations
Energy spectra
Exciton state
First-order
Heavy holes
Landau levels
Landau quantization
Magnetoexciton
Magnetoexcitons
Nonparabolic dispersion
Optical orientation
Parabolic dispersion
Quantum numbers
Quantum transitions
Rashba spin-orbit coupling
Recombination lines
Selection Rules
Spin projections
Spin-orbit couplings
Third-order
Two-band model
Chirality
Enantiomers
Quantum theory
Spectroscopy
Two dimensional
Semiconductor quantum wells