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arXiv 2005.03207cond-mat.mes-hall
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强磁场中掺杂双层$α$ - ${\cal T}_3$晶格中偶极磁激子的超流性

Superfluidity of dipolar magnetoexcitons in doped double-layered $α$-${\cal T}_3$ lattice in a strong magnetic field

Yonatan Abranyos, Oleg L. Berman, Godfrey Gumbs

摘要:

我们预测了一对准二维空间分离的$α$ - ${\cal T}_3$层中偶极磁激子的玻色-爱因斯坦凝聚和超流性的发生。我们求解了磁场中$α$双层模型哈密顿量的一个电子和一个空穴的两体问题。在高磁场下,得到了整数量子霍尔体系中集体激发的能量色散、声速谱和磁激子的有效磁质量。超流密度和Kosterlitz无相变的温度作为激子密度,磁场,和层间分离的函数进行了探讨。

英文摘要:

We predict the occurrence of Bose-Einstein condensation and superfluidity of dipolar magnetoexcitons for a pair of quasi-two-dimensional spatially separated $α$-${\cal T}_3$ layers. We have solved a two-body problem for an electron and a hole for the model Hamiltonian for the $α$-${\cal T}_3$ double layer in a magnetic field. The energy dispersion of collective excitations, the spectrum of sound velocity, and the effective magnetic mass of magnetoexcitons are obtained in the integer quantum Hall regime for high magnetic fields. The superfluid density and the temperature of the Kosterlitz-Thouless phase transition are probed as functions of the excitonic density, magnetic field, and the inter-layer separation.

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