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首页> 外文期刊>Computer physics communications >Efficient calculation of Coulomb matrix elements for bilayers of confined charge carriers with arbitrary spatial separation
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Efficient calculation of Coulomb matrix elements for bilayers of confined charge carriers with arbitrary spatial separation

机译：任意空间分隔的双层受限载流子库仑矩阵元素的高效计算

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摘要

We describe a practical procedure to calculate the Coulomb matrix elements of 2D spatially separated and confined charge carriers, which are needed for detailed theoretical descriptions of important condensed matter finite systems. We derive an analytical expression, for arbitrary separations, in terms of a single infinite series and apply a u-type Levin transform in order to accelerate the resulting infinite series. This procedure has proven to be efficient and accurate. Direct consequences concerning the functional dependence of the matrix elements on the separation distance, transition amplitudes and the diagonalization of a single electron-hole pair in vertically stacked parabolic quantum dots are presented.
机译：我们描述了一种实用的程序来计算二维空间分离和受限电荷载体的库仑矩阵元素，这对于重要的凝聚态有限系统的详细理论描述是必需的。我们针对单个无穷级数推导任意分离的解析表达式，并应用u型Levin变换以加速所得无穷级数。事实证明，此过程是有效且准确的。提出了有关矩阵元素在垂直距离上堆积的抛物线形量子点中的间距，跃迁幅度和单个电子-空穴对的对角化的直接影响。

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