{ "id": "0711.0976", "version": "v1", "published": "2007-11-06T22:10:55.000Z", "updated": "2007-11-06T22:10:55.000Z", "title": "Bose-Einstein condensation and superfluidity of magnetobiexcitons in quantum wells' and graphene superlattices", "authors": [ "Oleg L. Berman", "Roman Ya. Kezerashvili", "Yurii E. Lozovik" ], "comment": "4 pages, 2 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "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.", "revisions": [ { "version": "v1", "updated": "2007-11-06T22:10:55.000Z" } ], "analyses": { "keywords": [ "quantum wells", "graphene superlattice", "bose-einstein condensation", "high magnetic field", "superfluidity" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0711.0976B" } } }