Superfluidity and collective properties of excitonic polaritons in gapped graphene in a microcavity

The condensate density profile of trapped two-dimensional gas of photons in an optical microcavity, filled by a dye solution, is analyzed taking into account a coordinate-dependent effective mass of cavity photons and photon-photon coupling parameter. The profiles for the densities of the superfluid and normal phases of trapped photons in the different regions of the system at the fixed temperature are analyzed. The radial dependencies of local mean-field phase transition temperature T 0 c (r) and local Kosterlitz-Thouless transition temperature Tc(r) for trapped microcavity photons are obtained. The coordinate dependence of cavity photon effective mass and photon-photon coupling parameter is important for the mirrors of smaller radius with the high trapping frequency, which provides BEC and superfluidity for smaller critical number of photons at the same temperature. We discuss a possibility of an experimental study of the density profiles for the normal and superfluid components in the system under consideration.

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“…(29), (30) generalize the results of Ref. 31 for the coordinate-dependent particle mass and photon-photon interaction.…”

Section: Superfluidity Of the Microcavity Photonssupporting

confidence: 73%

On Bose–Einstein condensation and superfluidity of trapped photons with coordinate-dependent mass and interactions

2017

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“…However, the similar parameters and dispersion characteristics suggest that there should be no impediment in principle for condensation of dipolaritons, with similar physics to exciton-polaritons. Similar configurations may be possible with a polaritons formed by a coupled double graphene layer in a microcavity structure [38,39]. Even without the feature of tunability, this would open a fascinating variant of the exciton-polariton condensate both from a fundamental point of view and technological applications.…”

Section: Discussionmentioning

confidence: 81%

Effective interaction and condensation of dipolaritons in coupled quantum wells

et al. 2014

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Dipolaritons are a three-way superposition of photon, a direct exciton, and an indirect exciton that are formed in coupled quantum well microcavities. As is the case with exciton-polaritons, dipolaritons have a self-interaction due to direct and exchange effects of the underlying electrons and holes. Here we present a theoretical description of dipolaritons and derive simple formulas for their basic parameters. In particular, we derive the effective dipolariton-dipolariton interaction taking into account of exchange effects between the excitons. We obtain a simple relation to describe the effective interaction at low densities. We find that dipolaritons should condense under suitable conditions, described by a dissipative Gross-Pitaevskii equation. While the parameters for condensation are promising, we find that the level of tunability of the interactions is limited.

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“…where x and y are the components of vector r, σ j are the Pauli matrices, σ 0 is the 2 × 2 unit matrix. Analysis of the operators ( 12) and (13) shows that the coordinates of the center-of-mass and relative motion can be separated in a certain approximation.…”

Section: Separation Of the Center-of-mass And Relative Motionsmentioning

confidence: 99%

Coupling of two Dirac particles

2013

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A study of the formation of excitons as a problem of two Dirac particles in a gapped graphene layer and in two gapped graphene layers separated by a dielectric is presented. In the low-energy limit the separation of the center-of-mass and relative motions is obtained. Analytical solutions for the wave function and energy dispersion for both cases when electron and hole interact via a Coulomb potential are found. It is shown that the energy spectrum and the effective exciton mass are functions of the energy gaps as well as interlayer separation in case of two layer gapped graphene.

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Superfluidity and collective properties of excitonic polaritons in gapped graphene in a microcavity

Cited by 15 publications

References 47 publications

On Bose–Einstein condensation and superfluidity of trapped photons with coordinate-dependent mass and interactions

On Bose–Einstein condensation and superfluidity of trapped photons with coordinate-dependent mass and interactions

Effective interaction and condensation of dipolaritons in coupled quantum wells

Coupling of two Dirac particles

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