Three-electron quantum dot/ring system under the Rashba effect and magnetic field: an analytical study

IF 2.1 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2025-08-08 DOI:10.1007/s12043-025-02964-x

M Shirsefat, M Servatkhah, S Hosseini

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Abstract

The magnetic behaviour of a three-electron quantum dot\(/\)ring system is analytically investigated with electron–electron (e–e) interaction taking into account the Rashba effect and magnetic field. The Jacobi transformation has been employed to separate the Hamiltonian of the system into relative motion and the centre of mass. The Schrödinger equation is analytically solved and energy spectra are obtained. Then, the magnetisation and susceptibility are calculated. The magnetisation decreases by rising the magnetic field without and with spin–orbit interaction (SOI) and also without e–e interaction. The Rashba effect slightly modifies the magnetisation of the system without e–e interaction. The susceptibility displays a peak structure as the magnetic field changes from low values to high values. The susceptibility sign is negative by considering e–e interaction and without the Rashba effect and its value decreases by rising the magnetic field. The susceptibility displays a transition from diamagnetic to paramagnetic by considering the e–e term and the Rashba effect.

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Rashba效应和磁场作用下的三电子量子点/环体系的分析研究

考虑Rashba效应和磁场，用电子-电子（e-e）相互作用对三电子量子点\(/\)环体系的磁行为进行了分析研究。采用雅可比变换将系统的哈密顿量分离为相对运动和质心。对Schrödinger方程进行了解析求解，得到了能量谱。然后，计算磁化率和磁化率。在没有自旋轨道相互作用（SOI）和没有e-e相互作用（SOI）的情况下，磁化强度随磁场的增大而减小。在没有e-e相互作用的情况下，Rashba效应稍微改变了系统的磁化。磁化率随磁场从低到高的变化呈峰值结构。考虑e-e相互作用且不考虑Rashba效应时，磁化率符号为负，其值随磁场的增大而减小。考虑e-e项和Rashba效应，磁化率由抗磁性向顺磁性转变。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.