量子阱和石墨烯超晶格中磁双激子的玻色-爱因斯坦凝聚和超流性
Bose-Einstein condensation and superfluidity of magnetobiexcitons in quantum wells' and graphene superlattices
摘要：
提出了在强磁场下，半导体量子阱和石墨烯超晶格组成的电子空穴交替层超晶格中准二维空间间接磁双激子的玻色-爱因斯坦凝聚（BEC）和超流性.在高磁场极限下，量子阱和石墨烯层组成的超晶格中具有偶极-偶极排斥的磁激子稀气体的两个不同的哈密顿量被简化为无磁场的二维激子稀气体的一个有效哈密顿量.此外，对于$N$激子，我们通过在电子（e）和空穴（h）的相对运动的坐标上积分，将$2N\times 2$维空间的问题简化为$N\times 2$维空间的问题。本文研究了在强磁场中，电子层和空穴层交替排列的超晶格中的二维间接磁激子相互作用系统的基态不稳定性。本文研究了由一对偶极矩相反的间接激子组成的准二维间接磁双激子稳定系统。在二维间接磁双激子系统中，以电四极子的形式相互作用，得到了量子阱和石墨烯实现的超流组分$n_{s}(T)$的密度和从Kosterlitz无相变相变到超流态的温度.
英文摘要：
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.
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