二维费米子的 N+1$ 重光簇

IF 4.6 2区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

SciPost Physics Pub Date : 2024-08-13 DOI:10.21468/scipostphys.17.2.050

Jules Givois, Andrea Tononi, Dmitry S. Petrov

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引用次数: 0

摘要

我们研究了一个轻原子在二维空间中与 $N$ 相同重费米子的结合，假设重-轻相互作用为零程吸引力。通过使用对大 $N$ 有效的均场理论，我们证明了当质量比超过 1.074N^2$ 时，$N+1$ 簇会被束缚。均场理论在二维尺度上是不变的，它只能预测星团的形状，而不能确定它们的大小和能量。通过考虑均场效应之外的因素，我们找到了这些量的闭式表达式。我们还讨论了托马斯-费米方法和哈特里-福克方法在处理重费米子方面的差异。

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Heavy-light $N+1$ clusters of two-dimensional fermions

We study binding of $N$ identical heavy fermions by a light atom in two dimensions assuming zero-range attractive heavy-light interactions. By using the mean-field theory valid for large $N$ we show that the $N+1$ cluster is bound when the mass ratio exceeds $1.074N^2$. The mean-field theory, being scale invariant in two dimensions, predicts only the shapes of the clusters leaving their sizes and energies undefined. By taking into account beyond-mean-field effects we find closed-form expressions for these quantities. We also discuss differences between the Thomas-Fermi and Hartree-Fock approaches for treating the heavy fermions.

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来源期刊

SciPost Physics Physics and Astronomy-Physics and Astronomy (all)

CiteScore

8.20

自引率

12.70%

发文量

315

审稿时长

10 weeks

期刊介绍： SciPost Physics publishes breakthrough research articles in the whole field of Physics, covering Experimental, Theoretical and Computational approaches. Specialties covered by this Journal: - Atomic, Molecular and Optical Physics - Experiment - Atomic, Molecular and Optical Physics - Theory - Biophysics - Condensed Matter Physics - Experiment - Condensed Matter Physics - Theory - Condensed Matter Physics - Computational - Fluid Dynamics - Gravitation, Cosmology and Astroparticle Physics - High-Energy Physics - Experiment - High-Energy Physics - Theory - High-Energy Physics - Phenomenology - Mathematical Physics - Nuclear Physics - Experiment - Nuclear Physics - Theory - Quantum Physics - Statistical and Soft Matter Physics.