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首页> 外文期刊>Journal of Physics. Condensed Matter >Understanding the spectra of a few electrons confined in a quasi-one-dimensional nanostructure
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Understanding the spectra of a few electrons confined in a quasi-one-dimensional nanostructure

机译：了解局限在准一维纳米结构中的一些电子的光谱

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摘要

The energy spectra and wavefunctions of three electrons confined by a quasi-one-dimensional Gaussian potential have been calculated and analyzed for three regimes of the strength of confinement omega(z), namely large (omega(z) = 5.0), medium (omega(z) = 1.0) and small (omega(z) = 0.1), by using the full configuration interaction method. For large and medium omega(z) the energy spectrum shows a band structure which is characterized by the polyad quantum number upsilon(p), while for small omega(z) it is characterized by the extended polyad quantum number v(p)*. The wavefunctions of the quartet states have been assigned uniquely by counting the number of nodal planes for the three normal modes, namely, the center-of-mass, permutation and breathing modes. The energy levels for small omega(z) form nearly degenerate triplets, each of which consists of two doublet states and one quartet state. The nodal patterns of their wavefunctions in this small omega(z) regime are almost identical to each other except for their phases. The origin of the tripling of energy levels and the similarity of the wavefunctions for different spin states has been rationalized by using the projection of one- and two-electron potentials onto the internal plane. Effects of anharmonicity in the confining potential on the energy spectra and wavefunctions have also been examined.
机译：计算和分析了由准一维高斯势限制的三个电子的能谱和波函数，用于分析了三种约束强度omega（z）的机制，即大（omega（z）= 5.0），中等（omega （z）= 1.0）和较小（omega（z）= 0.1），方法是使用完整配置交互方法。对于大和中欧米茄（z），能谱显示了一个带结构，其特征是多义量子数upsilon（p），而对于小欧米茄（z），它的特征是扩展了多义子量子数v（p）*。通过对三种正常模式（质心，置换和呼吸模式）的节点平面数量进行计数，可以唯一地分配四重态的波函数。小ω（z）的能级几乎形成简并的三重态，每个三重态由两个双态和一个四重态组成。在这种小的omega（z）模式下，它们的波函数的节点模式除了相位以外几乎彼此相同。通过使用一电子势能和两电子势能在内部平面上的投影，已经使三能级的起源和不同自旋状态的波函数的相似性变得合理。还研究了限制电位中非谐性对能谱和波函数的影响。

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