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arXiv 0907.1571cond-mat.mes-hallcond-mat.str-elnucl-thphysics.atom-ph
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人工量子点氦分子:电子光谱、自旋结构和海森堡团簇

Artificial quantum-dot Helium molecules: Electronic spectra, spin structures, and Heisenberg clusters

Ying Li, Constantine Yannouleas, Uzi Landman

摘要:

利用精确对角化(EXD)方法研究了N=4电子横向双量子点(量子点氦分子)系统的能谱和自旋组态,它们是量子点间距、外加磁场(B)和电子间排斥强度的函数.作为磁场的函数,能谱呈现出由六个状态组成的低能带,其中数字六是总自旋守恒和随后的四个电子的自旋简并的结果。六个态的能量似乎在磁场的单一值处交叉,并且随着库仑排斥的增加,它们倾向于退化,具有明确定义的能隙将它们与较高能量的激发态分开。低能带的出现是维格纳超分子形成的结果,四个电子(每个点两个)被定域在一个矩形的顶点。本文介绍了一种利用自旋分辨的对关联分布将复杂的EXD多体波函数映射到简单的自旋函数上的方法。详细解释的EXD自旋函数和EXD光谱与低能带通过一个4位海森堡集群(与B-依赖的交换积分)的演示。自旋纠缠的方面,参考众所周知的N-量子位迪克态,也进行了讨论。

英文摘要:

Energy spectra and spin configurations of a system of N=4 electrons in lateral double quantum dots (quantum dot Helium molecules) are investigated using exact diagonalization (EXD), as a function of interdot separation, applied magnetic field (B), and strength of interelectron repulsion. As a function of the magnetic field, the energy spectra exhibit a low-energy band consisting of a group of six states, with the number six being a consequence of the conservation of the total spin and the ensuing spin degeneracies for four electrons. The energies of the six states appear to cross at a single value of the magnetic field, and with increasing Coulomb repulsion they tend to become degenerate, with a well defined energy gap separating them from the higher-in-energy excited states. The appearance of the low-energy band is a consequence of the formation of a Wigner supermolecule, with the four electrons (two in each dot) being localized at the vertices of a rectangle. Using spin-resolved pair-correlation distributions, a method for mapping the complicated EXD many-body wave functions onto simpler spin functions associated with a system of four localized spins is introduced. Detailed interpretation of the EXD spin functions and EXD spectra associated with the low-energy band via a 4-site Heisenberg cluster (with B-dependent exchange integrals) is demonstrated. Aspects of spin entanglement, referring to the well known N-qubit Dicke states, are also discussed.

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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