The energy spectrum of the 2D cavity magnetoexciton-polaritons has been investigated previously,
using exact solutions for the Landau quantization of conduction
electrons and heavy holes provided by the Rashba method [1]. Two
lowest Landau quantization levels for electrons and three lowest
Landau levels for heavy-holes, lead to the construction of the six lowest
magnetoexciton sates. They consist of two dipole-active, two
quadrupole-active, and the two forbidden quantum transitions from the
ground state of the crystal to the magnetoexciton states. The interaction
of the four optical-active magnetoexciton states with the cavity mode
photons with a given circular polarization and with well-defined
incidence direction leads to the creation of five magnetoexcitonpolariton
branches. The fifth order dispersion equation is examined by
using numerical calculations and the second order dispersion equation
is solved analytically, taking into account only one dipole-active
magnetoexciton state. The effective polariton mass on the lower
polariton branch, the Rabi frequency and the corresponding Hopfield coefficients are determined in
dependence on the magnetic field strength, the Rashba spin-orbit coupling parameters and the electron and
hole g-factors.
The dependences on the magnetic field strength B of the Hopfield coefficients square moduli |u|2 and |v|2 in the
case of magnetoexciton state F1 interacting with the cavity photons in the presence of the Rashba spin-orbit
coupling.
Keywords: magnetoexciton, polariton, Rashba spin-orbit coupling, Hopfield coefficients.
References [1] E.I. Rashba, Fiz. Tverd. Tela (Leningrad) 2, 1224 (1960); Sov. Phys. Solid State 2, 1109 (I960).