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arXiv cond-mat/0601034cond-mat.mes-hallcond-mat.str-elnucl-thphysics.atom-ph
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强磁场下量子点中从几个电子到多个电子:多环旋转电子分子的性质

From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings

Yuesong Li, Constantine Yannouleas, Uzi Landman

摘要:

采用圆对称破缺和投影恢复对称的方法,计算了中等尺寸范围内强磁场中N电子抛物量子点的基态能量和激发谱.我们的计算所提出的物理图像是有限旋转电子分子(REM),包括多个环,环相互独立旋转。这种非刚性的多环REM的能量的解析表达式推导出,它是适用于任意大小给定相应的平衡配置的经典点电荷。我们发现,旋转的电子分子具有非刚性(非经典)的转动惯量,同时表现出晶体的相关性和类液体(非刚性)的特点。这种混合相出现在高磁场中,并与最低朗道能级的经典刚性维格纳晶体的图像形成对比。

英文摘要:

Using the method of breaking of circular symmetry and of subsequent symmetry restoration via projection techiques, we present calculations for the ground-state energies and excitation spectra of N-electron parabolic quantum dots in strong magnetic fields in the medium-size range 10 <= N <= 30. The physical picture suggested by our calculations is that of finite rotating electron molecules (REMs) comprising multiple rings, with the rings rotating independently of each other. An analytic expression for the energetics of such non-rigid multi-ring REMs is derived; it is applicable to arbitrary sizes given the corresponding equilibrium configuration of classical point charges. We show that the rotating electron molecules have a non-rigid (non-classical) rotational inertia exhibiting simultaneous crystalline correlations and liquid-like (non-rigidity) characteristics. This mixed phase appears in high magnetic fields and contrasts with the picture of a classical rigid Wigner crystal in the lowest Landau level.

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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