Bose-Einstein condensation of trapped polaritons in 2D electron-hole systems in a high magnetic field

Abstract

The Bose-Einstein condensation (BEC) of magnetoexcitonic polaritons in two-dimensional (2D) electron-hole system embedded in a semiconductor microcavity in a high magnetic field $B$ is predicted. There are two physical realizations of 2D electron-hole system under consideration: a graphene layer and quantum well (QW). A 2D gas of magnetoexcitonic polaritons is considered in a planar harmonic potential trap. Two possible physical realizations of this trapping potential are assumed: inhomogeneous local stress or harmonic electric field potential applied to excitons and a parabolic shape of the semiconductor cavity causing the trapping of microcavity photons. The effective Hamiltonian of the ideal gas of cavity polaritons in a QW and graphene in a high magnetic field and the BEC temperature as functions of magnetic field are obtained. It is shown that the effective polariton mass $M_{\mathrm{eff}}$ increases with magnetic field as $B^{1/2}$. The BEC critical temperature $T_c^{(0)}$ decreases as $B^{-1/4}$ and increases with the spring constant of the parabolic trap. The Rabi splitting related to the creation of a magnetoexciton in a high magnetic field in graphene and QW is obtained. It is shown that Rabi splitting in graphene can be controlled by the external magnetic field since it is proportional to $B^{-1/4}$, while in a QW the Rabi splitting does not depend on the magnetic field when it is strong.

16 pages, 6 figures. accepted in Physical Review B

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Cited by in corpus (8)

• Influence of Landau level mixing on the properties of elementary excitations in graphene in strong magnetic field
• Superfluidity and collective properties of excitonic polaritons in gapped graphene in a microcavity
• Bose-Einstein condensation of quasiparticles in graphene
• Effects of Rashba spin-orbit coupling, Zeeman splitting and gyrotropy in two-dimensional cavity polaritons under the influence of the Landau quantization
• Introduction to Nonlinear Phenomena in Superfluid Liquids and Bose-Einstein Condensates: Helium, Semiconductors and Graphene
• High-temperature tunable superfluidity of polaritons in Xene monolayers in an optical microcavity
• Quantum entanglement between excitons in two-dimensional materials
• Bose-Einstein condensation in two-dimensional traps