{ "id": "0801.1094", "version": "v1", "published": "2008-01-07T18:57:31.000Z", "updated": "2008-01-07T18:57:31.000Z", "title": "Collective properties of magnetobiexcitons in quantum wells' and graphene superlattices", "authors": [ "Oleg L. Berman", "Roman Ya. Kezerashvili", "Yurii E. Lozovik" ], "comment": "9 pages, 3 figures", "doi": "10.1103/PhysRevB.78.035135", "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": "2008-01-07T18:57:31.000Z" } ], "analyses": { "subjects": [ "71.35.Ji", "68.65.Cd", "71.35.Lk" ], "keywords": [ "graphene superlattice", "quantum wells", "high magnetic field", "collective properties", "hole layers" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2008, "month": "Jul", "volume": 78, "number": 3, "pages": "035135" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvB..78c5135B" } } }