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arXiv 1505.00515cond-mat.mes-hall
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相互作用电子对通过短导电沟道的杂化和非杂化量子输运的相互作用

Interplay of hybrid and unhybrid quantum transport of interacting electron pairs through a short conduction channel

Danhong Huang, Godfrey Gumbs, Yonatan Abranyos, Michael Pepper, Sanjeev Kumar

摘要:

对于通过短传导沟道的电子的量子弹道输运,库仑相互作用的作用可以随着沟道变宽而显著地改变低温下电子对的能级。在此范围内,计算了库仑效应对三重态和单重电子对态的影响,发现产生了四个分裂的能级,包括两个杂化态和两个非杂化态。此外,由于两个电子之间的杂化和非杂化库仑相互作用的相互作用,我们的计算揭示了基态将从一个杂化轨道-三重态转换(强约束)到非杂化轨道单重态(中间限制)随着沟道宽度逐渐增加,然后回到原始的杂化轨道-三重态(弱限制),这是由于轨道单重态的较大总自旋,因为沟道宽度变得大于阈值。这种切换行为在电导以及电子的扩散热电功率中留下足迹。在这里,预测的重现的混合轨道三重态(自旋- $0$状态)作为基态示出涉及到更高的自旋简并的自旋- $1$状态,以及在通道的中心区域,这将两个电子分开,并将它们推到不同的通道边缘的强库仑排斥。随着线电子密度的增加,电导重现区从弱约束区扩展到中等约束区。

英文摘要:

For quantum ballistic transport of electrons through a short conduction channel, the role of Coulomb interaction may significantly modify the energy levels of an electron pair at low temperatures as the channel becomes wide. In this regime, the Coulomb effect on the orbital triplet and singlet electron-pair state is calculated and found to lead to four split energy levels, including two hybrid and two unhybrid states. Moreover, due to the interplay of hybrid and unhybrid Coulomb interactions between two electrons, our calculations reveal that the ground pair-state will switch from one hybrid orbit-triplet state (strong confinement) to the unhybrid orbit-singlet state (intermediate confinement) as the channel width gradually increases and then back to the original hybrid orbit-triplet state (weak confinement), due to larger total spin of the orbit-singlet state, as the channel width becomes larger than a threshold value. This switching behavior leaves a footprint in the conductance as well as in the diffusion thermoelectric power of electrons. Here, the predicted reoccurrence of the hybrid orbit-triplet state (spin-$0$ state) as a ground state is shown to relate to the higher spin degeneracy of the spin-$1$ state as well as to the strong Coulomb repulsion in the central region of the channel, which separates two electrons away and pushes them to different channel edges. The conductance reoccurrence region expands from the weak to the intermediate confinement regime with increasing linear electron density.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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