The Influence of the Rashba Spin-Orbit Coupling on the Two-Dimensional Electron–Hole System and Magnetoexcitons

Moskalenko, S. A.; Podlesny, I. V.; Dumanov, E. V.; Kiselyov, A. A.

doi:10.1166/jno.2014.1582

Cited by 4 publications

(17 citation statements)

References 17 publications

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“…The Hamiltonian describing the magnetoexciton-photon interaction including the ZS effects looks exactly the same as in Ref. [25] with only one difference, that the coefficients…”

Section: Interaction Of the Magnetoexcitons With The Electromagnementioning

confidence: 92%

“…The Hamiltonians describing the Landau quantization, Rashba spin-orbit coupling and Zeeman effect with participation of the 2D electrons and holes were derived in Refs. [1,6,7,[23][24][25], and they look aŝ…”

Section: D Electrons and Holes Under The Influence Of The Perpenmentioning

confidence: 99%

“…where ω ci are the cyclotron frequencies, Z i are the Zeeman parameters proportional to the g-factors g i and to the effective masses m i of the electrons and holes, whereas m 0 is the bare electron mass. δ is the nonparabolicity of the heavy-hole dispersion low, α and β are the parameters of the chirality terms, which are of the first order in the case of the electrons [1] and of the third order in the case of the heavy-holes [25][26][27][28].…”

Section: D Electrons and Holes Under The Influence Of The Perpenmentioning

confidence: 99%

“…In the Refs. [16,22,25,28] the Hamiltonians describing in different approximations the electron-radiation interaction in the system of two-dimensional coplanar electrons and holes accumulated in the semiconductor quantum well and subjected to the action of a strong perpen-dicular magnetic field giving rise to the Landau quantization of their energy levels were obtained. However, only the case of the inter-band optical quantum transitions with the creation or annihilation of one electron-hole pair was considered in Refs.…”

Section: Interaction Of the Magnetoexcitons With The Electromagnementioning

confidence: 99%

“…However, only the case of the inter-band optical quantum transitions with the creation or annihilation of one electron-hole pair was considered in Refs. [16,22,25,28]. The intraband quantum transitions were discussed in Ref.…”

Section: Interaction Of the Magnetoexcitons With The Electromagnementioning

confidence: 99%

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Effects of Rashba spin-orbit coupling, Zeeman splitting and gyrotropy in two-dimensional cavity polaritons under the influence of the Landau quantization

et al. 2015

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We consider the energy spectrum of the two-dimensional cavity polaritons under the influence of a strong magnetic and electric fields perpendicular to the surface of the GaAs-type quantum wells (QWs) with p-type valence band embedded into the resonators. As the first step in this direction the Landau quantization (LQ) of the electrons and heavy-holes (hh) was investigated taking into account the Rashba spin-orbit coupling (RSOC) with third-order chirality terms for hh and with nonparabolicity terms in their dispersion low including as well the Zeeman splitting (ZS) effects. The nonparabolicity term is proportional to the strength of the electric field and was introduced to avoid the collapse of the semiconductor energy gap under the influence of the third order chirality terms. The exact solutions for the eigenfunctions and eigenenergies were obtained using the Rashba method [1]. On the second step we derive in the second quantization representation the Hamiltonians describing the Coulomb electron-electron and the electron-radiation interactions. This allow us to determine the magnetoexciton energy branches and to deduce the Hamiltonian of the magnetoexciton-photon interaction. On the third step the fifth order dispersion equation describing the energy spectrum of the cavity magnetoexciton-polariton is investigated. It takes into account the interaction of the cavity photons with two dipole-active and with two quadrupole-active 2D magnetoexciton energy branches. The cavity photons have the circular polarizations σ ± k oriented along their wave vectors k, which has the quantized longitudinal component kz = ±π/Lc, where Lc is the resonator length and another small transverse component k oriented in the plane of the QW. The 2D magnetoexcitons are characterized by the in-plane wave vectors k and by circular polarizations σM arising in the p-type valence band with magnetic momentum projection M = ±1 on the direction of the magnetic field. The selection rules of the exciton-photon interaction have two origins. The first one, of geometrical-type, is expressed through the scalar products of the two-types circular polarizations. They depend on the in-plane wave vectors k even in the case of dipole-active transitions, because the cavity photons have an oblique incidence to the surface of the QW. Another origin is related with the numbers ne and n h of the LQ levels of electrons and heavy-holes taking part in the magnetoexciton formation. So, the dipole-active transitions take place for the condition ne = n h , whereas in the quadrupole-active transitions the relation is ne = n h ± 1. It was shown that the Rabi frequency ΩR of the polariton branches and the magnetoexciton oscillator strength fosc increase in dependence on the magnetic field strength B as ΩR ∼ √ B, and fosc ∼ B. The optical gyrotropy effects may be revealed if changing the sign of the photon circular polarization at a given sign of the wave vector longitudinal projection kz or equivalently changing the sign of the longitudinal projection kz at the same selec...

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“…The Hamiltonian describing the magnetoexciton-photon interaction including the ZS effects looks exactly the same as in Ref. [25] with only one difference, that the coefficients…”

Section: Interaction Of the Magnetoexcitons With The Electromagnementioning

confidence: 92%

Section: D Electrons and Holes Under The Influence Of The Perpenmentioning

confidence: 99%

Section: D Electrons and Holes Under The Influence Of The Perpenmentioning

confidence: 99%

Section: Interaction Of the Magnetoexcitons With The Electromagnementioning

confidence: 99%

Section: Interaction Of the Magnetoexcitons With The Electromagnementioning

confidence: 99%

See 3 more Smart Citations

Effects of Rashba spin-orbit coupling, Zeeman splitting and gyrotropy in two-dimensional cavity polaritons under the influence of the Landau quantization

et al. 2015

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Landau quantization, Rashba spin–orbit coupling and Zeeman splitting of two‐dimensional heavy‐hole gases

Moskalenko

Podlesny

Dumanov

et al. 2014

Physica Status Solidi (b)

Self Cite

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The origin of the g-factor of the two-dimensional (2D) electrons and holes moving in the periodic crystal lattice potential with the perpendicular magnetic and electric fields is discussed. The Pauli equation describing the Landau quantization accompanied by the Rashba spin-orbit coupling (RSOC) and Zeeman splitting (ZS) for 2D heavy holes with nonparabolic dispersion law is solved exactly. The solutions have the form of the pairs of the Landau quantization levels due to the spinor-type wave functions. The energy levels depend on amplitudes of the magnetic and electric fields, on the g-factor h g , and on the parameter of nonparabolicity C . The dependences of two energy levels in any pair on the Zeeman parameter , where n is the order of the chirality terms determined by the RSOC and is the same for any quantum number of the Landau quantization.

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Investigating the optical properties of cylindrical core/shell/shell quantum dots (CCSSQDs) with and without hydrogenic impurity: Role of spatial factors, magnetic field, dielectric matrices and Rashba parameter

Naifar,

Hasanirokh

2025

Micro and Nanostructures

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The Influence of the Rashba Spin-Orbit Coupling on the Two-Dimensional Electron–Hole System and Magnetoexcitons

Cited by 4 publications

References 17 publications

Effects of Rashba spin-orbit coupling, Zeeman splitting and gyrotropy in two-dimensional cavity polaritons under the influence of the Landau quantization

Effects of Rashba spin-orbit coupling, Zeeman splitting and gyrotropy in two-dimensional cavity polaritons under the influence of the Landau quantization

Landau quantization, Rashba spin–orbit coupling and Zeeman splitting of two‐dimensional heavy‐hole gases

Investigating the optical properties of cylindrical core/shell/shell quantum dots (CCSSQDs) with and without hydrogenic impurity: Role of spatial factors, magnetic field, dielectric matrices and Rashba parameter

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