The properties of the two-dimensional (ƒD) magnetoexcitons in the GaAstype
quantum wells subjected to the action of a strong perpendicular magnetic
field with the binding energy determined by the direct Coulomb electron-hole
(e-h) interaction and with the summary e-h spin projections F = ±Í are discussed.
A new property of the ƒD magnetoexciton is the interdependence between
the center-of-mass and the relative electron-hole motions induced by the
action of the Lorentz force. This interdependence happens to play an important
role promoting to the formation of the Dirac cone dispersion law under the
influence of the exchange e-h Coulomb interaction [Í]. The both symmetric
and asymmetric superposition states with the interference effects in the case of
the light with two linear polarizations, which have different parities as regards
the inversion of the light wave vector Ñk were revealed. The result was obtained
by applying the perturbation theory of a degenerate energy level [ƒ]. The
symmetric (asymmetric) state is allowed in the case of linear polarization with
positive (negative) parity and is forbidden in the case of linear polarization with
negative (positive) parity. The obtained optical results open the possibility to
investigate the thermodynamic properties of the ƒD Bose gas with Dirac cone
dispersion law.
[Í] S.A. Moskalenko, I.V. Podlesny, I.A. Zubac, and B.V. Novikov, Two-dimensional
magnetoexciton superposition states with Dirac cone dispersion law and
quantum interference effects in optical transitions, Solid State Commun., u̓,
ÍÍu:Í (ƒ«ƒ«).
[ƒ] L.D. Landau & E.M. Lifshitz,QuantumMechanicsNon- Relativistic Theory,
Volume u of Course of Theoretical Physics, Pergamon Press, Oxford (͔D).