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A geometric approach to calculate binding energy and structural configuration of 2D biexcitons

机译:一种计算二维双激子的结合能和结构构型的几何方法

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摘要

We improve upon Singh et al.'s simple method [Phys. B53, 15909 (1996)] to calculate 2D biexciton binding energy in quantum wells. Optimising the geometric structure, a simple and analytical expression for the ratio of the binding energy of a 2D biexciton to that of an exciton, B_b~(xx)/B_b~x, is derived. In this calculation, we find that B_b~(xx)/B_b~x depends on the mass ratio sigma =0.68 which agrees very well with the experimental value. We also find that the structural configuration of a positronium- molecule-like biexciton ( sigma =1) is a square and that of a hydrogen-molecule-like biexciton ( sigma =1) is a tetragon with /=1.292 and /=1.581.
机译:我们改进了Singh等人的简单方法[Phys。 B53,15909(1996)]计算量子阱中的二维双激子结合能。通过优化几何结构,导出了二维双激子与激子的结合能之比B_b〜(xx)/ B_b〜x的简单解析表达式。在此计算中,我们发现B_b〜(xx)/ B_b〜x取决于质量比sigma = 0.68,与实验值非常吻合。我们还发现,正电子分子状双激子(sigma = 1)的结构构型是正方形,氢分子状双激子(sigma = 1)的构型是具有的四边形。 /=1.292和 / = 1.581。

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