FULL PAPER Magnetic properties in three electrons under Rashba spin-orbit interaction and magnetic field Reza Khordad | Behrooz Vaseghi Department of Physics, College of Sciences, Yasouj University, Yasouj, Iran Correspondence Reza Khordad, Department of Physics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran. Email: rezakh2025@yahoo.com Abstract In this work, we study three-electron magnetic susceptibility in quantum dots under Rashba spin-orbit interaction (SOI) and magnetic field by an analytical methodology. The Hamiltonian of the system is separated to center of mass and relative terms using the Jacobi transformations and the hyperspherical coordinates. By solving Schrodinger equation, energy levels and thereby the susceptibility are calculated using canonical ensemble. At zero temperature, the magnetization reduces with increasing magnetic field with and without Rashba SOI in three-electron-quantum dot without electron-electron (e-e) interaction. Also, SOI slightly changes the magne- tization for three-electron-quantum dot without e-e interaction. At nonzero temper- ature, the magnetization shows a paramagnetic peak when the magnetic field increases. This peak position changes under the SOI. In the presence of e-e interac- tion, the susceptibility enhances with raising magnetic field and it shows a maximum. The susceptibility at low magnetic field is negative and then it becomes positive. The susceptibility with e-e interaction and without SOI is always diamagnetic and its magnitude reduces with enhancing magnetic field. The susceptibility shows a transi- tion between diamagnetic and paramagnetic with e-e interaction and SOI. KEYWORDS electron-electron interaction, magnetization, quantum dot, Rashba spin-orbit interaction 1 | INTRODUCTION The study of quantum dots (QDs) has continued unabated in the past three decades. [1,2] QDs are one of important structures that have applications in dealing with many issues. QDs may be defined as two-dimensional electron gases that are laterally confined to effectively zero dimensions by an external potential. These structures can be prepared using various procedures like chemical lithography, molecular-beam epitaxy, and metal-organic chemical vapor deposition. [3–5] The physical properties of QDs can be studied using several experimental procedures like the far-infrared magneto absorption, [6] capacitance spectroscopy, [7] and transport spectroscopy. [8,9] The understanding of realistic confinement potential model in QDs leads to a better and deeper study of the physical properties of QDs. Con- finement potentials in QDs have various shapes depending on their origin and the structure of the QD. [10,11] Hitherto, many theoretical studies have been done on QDs by considering the infinitely deep rectangular well. [12–15] In addition, several investigations have been performed on QD's using the parabolic potential. [16–20] Interest in the subject of magnetic properties of nanostructures has been becoming an appealing topic. From experimental point of view, studying electronic properties of QDs requires the capability to design and control many-particle configurations. The many-particle aspect is particularly interesting as collective behavior of electrons leads to a number of nontrivial and useful phenomena, from magnetism to Received: 28 January 2019 Revised: 14 May 2019 Accepted: 28 May 2019 DOI: 10.1002/qua.25994 Int J Quantum Chem. 2019;1–10. http://q-chem.org © 2019 Wiley Periodicals, Inc. 1