A Theoretical Study of Wigner Molecule Formation in Strongly Correlated Three-Dimensional Harmonium

IF 1.2 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2025-11-04 DOI:10.1007/s00601-025-02015-6

Mohammad A. Dalabeeh, Ayman S. Sandouqa, Omar T. Al-Obeidat, Amal F. Al-Maaitah, Mustafa M. Hawamdeh

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Abstract

In this work, we investigate electron energy spectra and localization in a three-dimensional harmonium system using the shifted 1/N-expansion method. Our results show that increasing confinement strength \(\upomega \) raises energy levels and reduces equilibrium interelectron distances, as stronger confinement forces electrons into tighter spatial regions. In the strong-correlation limit \(\upomega \rightarrow 0\), we confirm the formation of a Wigner molecule. Additionally, we establish the transition from the Wigner molecule regime to a strongly confined state where quantum confinement suppresses correlation effects. Our results further show that energy levels increase by increasing the principal quantum number (n), while centrifugal effects lead to a slight reduction in energy levels with increasing angular momentum number (\(\ell )\). These results enhance our understanding of electron correlation effects in confined quantum systems and have potential applications in nanophysics and quantum computing.

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强相关三维和声中Wigner分子形成的理论研究

在这项工作中，我们研究了电子能谱和局域化在三维和声系统中使用移位1/ n展开方法。我们的研究结果表明，增加约束强度\(\upomega \)会提高能级并减少平衡电子间距离，因为更强的约束迫使电子进入更紧密的空间区域。在强相关极限\(\upomega \rightarrow 0\)下，我们证实了维格纳分子的形成。此外，我们建立了从Wigner分子状态到强约束态的过渡，其中量子约束抑制了相关效应。我们的结果进一步表明，能量水平随着主量子数(n)的增加而增加，而离心效应导致能量水平随着角动量数的增加而略有降低（\(\ell )\)）。这些结果增强了我们对受限量子系统中电子相关效应的理解，并在纳米物理和量子计算中具有潜在的应用前景。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).