Collective properties of magnetobiexcitons in quantum wells' and graphene superlattices

Abstract

We propose the Bose-Einstein condensation (BEC) and superfluidity of quasi-two-dimensional (2D) spatially indirect magnetobiexcitons in a slab of superlattice with alternating electron and hole layers consisting from the semiconducting quantum wells (QWs) and graphene superlattice in high magnetic field. The two different Hamiltonians of a dilute gas of magnetoexcitons with a dipole-dipole repulsion in superlattices consisting of both QWs and graphene layers in the limit of high magnetic field have been reduced to one effective Hamiltonian a dilute gas of two-dimensional excitons without magnetic field. Moreover, for $N$ excitons we have reduced the problem of $2N\times 2$ dimensional space onto the problem of $N\times 2$ dimensional space by integrating over the coordinates of the relative motion of an electron (e) and a hole (h). The instability of the ground state of the system of interacting two-dimensional indirect magnetoexcitons in a slab of superlattice with alternating electron and hole layers in high magnetic field is established. The stable system of indirect quasi-two-dimensional magnetobiexcitons, consisting of pair of indirect excitons with opposite dipole moments is considered. The density of superfluid component $n_s(T)$ and the temperature of the Kosterlitz-Thouless phase transition to the superfluid state in the system of two-dimensional indirect magnetobiexcitons, interacting as electrical quadrupoles, are obtained for both QW and graphene realizations.

arXiv comment9 pages, 3 figures

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Cited by in corpus (14)

• Seeing many-body effects in single- and few-layer graphene: Observation of two-dimensional saddle-point excitons
• High-temperature superfuidity of the two-component Bose gas in a TMDC bilayer
• Superfluidity of dipole excitons in two layers of gapped graphene
• Coupling of two Dirac particles
• Electron-electron and electron-hole pairing in graphene structures
• Bose-Einstein condensation of trapped polaritons in 2D electron-hole systems in a high magnetic field
• Pair states in one-dimensional Dirac systems
• Bose-Einstein condensation of quasiparticles in graphene
• Effective Medium Model for Graphene Superlattices with Electrostatic and Magnetic Vector Potentials
• Magnetoexcitons and optical absorption of bilayer-structured topological insulators
• Introduction to Nonlinear Phenomena in Superfluid Liquids and Bose-Einstein Condensates: Helium, Semiconductors and Graphene
• Coulomb matrix elements of bilayers of confined charge carriers with arbitrary spatial separation
• Metastable bound states of the quasi-bimagnetoexcitons in the lowest Landau levels approximation
• Pseudo-magnetoexcitons in strained graphene bilayers without external magnetic fields