Two-dimensional magnetoexciton-polariton

Abstract. The Hamiltonian describing the interaction of the two-dimensional (2-D) magnetoexcitons with photons propagating with arbitrary-oriented wave vectors in the three-dimensional (3-D) space is deduced. The magnetoexcitons are characterized by the numbers ne and nh of the electron and hole Landau quantizations, by circular polarization σ→M of the holes in the p-type valence bands and by in-plane wave vectors k→‖. The photons are characterized by the wave vectors k→ with in-plane component k→‖ and perpendicular component kz, which is quantized in the case of microresonator. The interaction is governed by the conservation law of the in-plane components k→‖ of the magnetoexcitons and photons and by the rotational symmetry around the axis perpendicular to the layer, which leads to the alignment of the magnetoexcitons under the influence of the photons with circular polarization σ→k→± and with probability proportional to |(σ→k→±·σ→M*)|2.

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