Dispersion laws of the two-dimensional cavity magnetoexciton-polaritons

TL;DR

This paper investigates the dispersion laws of two-dimensional cavity magnetoexciton-polaritons, analyzing their energy spectrum, interactions, and effective parameters under magnetic fields and spin-orbit coupling effects.

Contribution

It provides a detailed analysis of the magnetoexciton-polariton dispersion relations, including numerical and analytical solutions considering Landau levels and optical transitions.

Findings

Derived the effective polariton mass and Rabi frequency dependence on magnetic field.

Solved second order dispersion analytically for dipole-active states.

Numerically examined the fifth order dispersion equation.

Abstract

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 magnetoexciton-polariton 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.