Bose-Einstein Condensation of Excitons in Planar Systems and Superconductive Phase Transition Temperature

Abstract

A theoretical model is developed for treating superconductive Bose-Einstein condensation (BEC) effects for excitons in planar systems, under the condition that many excitons are included in a surface area, with the dimensions of the exciton center of mass de Broglie (dB) wavelength, and under the condition that attractive forces are introduced between different excitons. The total internal energy of the excitonic system is found to be composed of the separate exciton-positive energies and negative energy due to scattering between different excitons. We assume that for high density of excitons, and corresponding attractive interactions, excitons in internal mode k are annihilated and in the same time excitons in internal mode k are created, where these scattering effects are integrated for all k and k values. It is assumed that the internal momenta of the excited excitons remain in a quasi-stationary state, with approximately Bose distribution. Self-consistent equations for BEC of electron-hole pairs and corresponding phase transition temperature are developed as a function of electromagnetic interactions, experimental conditions, and parameters. Possible applications by the use of the present theory are described.

High-temperature superfluidity of the two-component Bose gas in a transition metal dichalcogenide bilayer

“…The prediction of superfluidity and BEC of dipolar (indirect) excitons formed by spatially separated electrons and holes in semiconductor coupled quantum wells (CQWs) attracted interest to this system [11][12][13][14][15][16][17][18][19][20]. In the CQWs negative electrons are trapped in a two-dimensional plane, while an equal number of positive holes is located in a parallel plane at a distance D away.…”

Nonlinear standing waves on planar branched systems: shrinking into metric graph

“…Moreover, most of the studies of this problem does not discuss experimental realization of BEC in networks. Planar BEC can be experimentally realized in surface optical traps [33], superconductive BEC for exitons in planar systems [34] and atom chip films [37]. All these systems can be constructed in in branched form in which the BEC standing wave can be described by Eq.…”