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首页> 外文期刊>Physical review. B, Condensed Matter And Materials Physics >Exact-diagonalization studies of trion energy spectra in high magnetic fields
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Exact-diagonalization studies of trion energy spectra in high magnetic fields

机译：强磁场中三重子能谱的精确对角化研究

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摘要

Binding energies of negative and positive trions in doped GaAs quantum wells in high magnetic fields are studied by exact numerical diagonalization in spherical geometry. Compared to earlier calculations, finite width of the quantum well and its asymmetry caused by one-sided doping are both fully taken into account by using self-consistent subband wave functions in the integration of Coulomb matrix elements, and by inclusion of higher subbands along with several Landau levels in the Hilbert space. Detailed analysis of the accuracy and convergence of the exact diagonalization scheme is presented, including dependence on Landau level and subband mixing, sensitivity to the (not well known) single-particle spectrum in the valence band, and the estimate of finite-size errors. The main results are the exciton dispersion and trion binding energy spectrum calculated as a function of the magnetic field, quantum well width, electron concentration, and the presence of an ionized impurity. As a complementary approach, a combination of the exact diagonalization in the quantum well plane and the variational calculation in the normal direction is used as well.
机译：通过在球形几何中精确的数值对角化研究了高磁场中掺杂的GaAs量子阱中负和正Trion的结合能。与早期的计算相比，通过在库仑矩阵元素的积分中使用自洽子带波函数，以及通过包含更高的子带，充分考虑了量子阱的有限宽度及其由单侧掺杂引起的不对称性。希尔伯特空间中的多个Landau层。详细介绍了精确对角化方案的准确性和收敛性，包括对Landau电平和子带混合的依赖，对价带中（未知的）单粒子光谱的敏感性以及有限尺寸误差的估计。主要结果是根据磁场，量子阱宽度，电子浓度和离子化杂质的存在而计算出的激子弥散和三重子结合能谱。作为一种补充方法，还使用了量子阱平面中精确对角线化和法向方向上的变分计算的组合。

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