Effect of electron–electron interaction on the magnetic moment and susceptibility of a parabolic GaAs quantum dot

Boda, Aalu; Kumar, Dushyant; Sankar, I. V.; Chatterjee, Ashok

doi:10.1016/j.jmmm.2016.04.015

Cited by 19 publications

(3 citation statements)

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“…59 In this paper, I shall study the low-lying spectra of an electron, on-centre donor ( ) D 0 and acceptor ( ) A 0 impurities with the spin-Zeeman term in a 2D Gaussian quantum dot (GQD) and compared with 2D parabolic quantum dot (PQD) by using EMDT. 60,61 I find the similar and most interesting OAM ( )-L transitions in an electron, on-centre donor and acceptor impurities in the presence of spin-Zeeman interaction for the magnetic quantum dot. Owing to these OAM ( )-L transitions, I also find spikes in the GSM moment and GSM susceptibility at the point of the energy level intersection.…”

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Effect of Magnetic Field on the Energy Spectrum, Binding Energy and Magnetic Susceptibility of an Impurity in a 2D Gaussian Quantum Dot

Boda

2021

ECS J. Solid State Sci. Technol.

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The problem of on-center acceptor A 0 and donor D 0 impurities in a two-dimensional (2D) GaAs quantum dot in the presence of an externally applied magnetic field now modelled with Gaussian confinement and examined with the exact matrix diagonalization technic. Magnetic moment, susceptibilities are calculated after obtaining the energy spectrum of these impurities. I have compared the results of these impurities with parabolic confinement. I found an interesting phenomenon in the attendance of spin-Zeeman term, the ground state magnetic (GSM) moment M g s and the GSM susceptibility S g s of one electron system, donor D 0 and acceptor A 0 impurity systems demonstrate zero-temperature diamagnetic spikes owing to transitions in the orbital angular momentum (OAM). The number of spikes and the position of these spikes depend on the radius of the quantum dot and depth of the potential V 0 also. The low-lying binding energy levels have been studied by computing state away from the energies of donor D 0 impurity and an electron.

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confidence: 76%

“…H e K 0 with the e-imp interaction, I numerically solve Eq. 6 using the diagonalization technic 53,[59][60][61]…”

Section: Theoretical Modelmentioning

confidence: 99%

Effect of Magnetic Field on the Energy Spectrum, Binding Energy and Magnetic Susceptibility of an Impurity in a 2D Gaussian Quantum Dot

Boda

2021

ECS J. Solid State Sci. Technol.

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“…Several numerical studies have been applied to QDs to investigate their thermal and magnetic properties (Nammas, Sandouqa, Ghassib, & Al-Sugheir, 2011;Kuros & Okopinska, 2015;Maksym & Chakraborty, 1990;Shaer, Elsaid, & Elhasan, 2016;Climente, Planelles, & Movilla, 2004;Shaer, Elsaid, & Elhasan, n. d.;Boda & Chatterjee, 2014;Mukhopadhyay & Chatterjee, 1999;Merkt, Huser, & Wagner, 1991;Tavernier, Anisimovas, Peeters, Szafran, Adamowski, & Bednarek, 2003;Yang, MacDonald, & Johnson, 1993;Hawrylak, 1993). The diagonalization method was used to explore the effect of e-e interaction on the magnetization and susceptibility of a parabolic GaAs QD with two interacting electrons in the presence of a uniform magnetic field and the spin-Zeeman energy (Boda, Kumar, Sankar, & Chatterjee, 2016). It was found that a sharp diamagnetic peaks were observed in these magnetic properties due to the singlet-triplet transitions and the number and the position of theses peaks depends crucially both on the interaction strength and confinement strength.…”

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A Comprehensive Study of the Thermal and Magnetic Properties of Two-Harmonically Interacting Electrons Confined in a Parabolic GaAs Quantum Dot in a Magnetic Field

Shukri¹,

Nammas²

2019

APR

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The thermal and magnetic properties of a parabolic GaAs quantum dot for two-Harmonically interacting electrons when it exposed to an external magnetic field, taking into account the spin-Zeeman energy are investigated using the canonical ensemble approach. The effect of spin on these properties is also investigated. With the possibility of a basic and physically sensible model of electron-electron interaction, the issue is precisely soluble. We found a Schottky-like anomaly in the heat capacity at low temperature, while it saturates to the 4kB value as the temperature increases. Also it is noted that entropy enhances with temperature as expected. However as a function of a magnetic field, a peak structure is observed in heat capacity at very low values of magnetic field, while it saturates to the 2kB value as magnetic field increases. Also we noticed that these peaks are not presented in the spinless case. Moreover magnetic field does not show a significant effect on the entropy at high temperatures, but at relatively lower temperatures, the entropy shows a monotonic increase with magnetic field. As a function of the Lande g* factor, we found a local minima and a double peak-structure in the susceptibility and in the heat capacity at g*=0. It is demonstrated that the favored state for both magnetization and susceptibility is the diamagnetic state. The significant effect of the spin on the magnetic properties of quantum dot is seen at low values of temperature and magnetic field. Moreover, our results showed a very good agreement with reported previous works.

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Magnetic properties in three electrons under Rashba spin‐orbit interaction and magnetic field

Khordad

Vaseghi

2019

Int J of Quantum Chemistry

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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 magnetization for three-electron-quantum dot without e-e interaction. At nonzero temperature, the magnetization shows a paramagnetic peak when the magnetic field increases. This peak position changes under the SOI. In the presence of e-e interaction, 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 transition between diamagnetic and paramagnetic with e-e interaction and SOI. K E Y W O R D Selectron-electron interaction, magnetization, quantum dot, Rashba spin-orbit interaction

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Effect of electron–electron interaction on the magnetic moment and susceptibility of a parabolic GaAs quantum dot

Cited by 19 publications

References 58 publications

Effect of Magnetic Field on the Energy Spectrum, Binding Energy and Magnetic Susceptibility of an Impurity in a 2D Gaussian Quantum Dot

Effect of Magnetic Field on the Energy Spectrum, Binding Energy and Magnetic Susceptibility of an Impurity in a 2D Gaussian Quantum Dot

A Comprehensive Study of the Thermal and Magnetic Properties of Two-Harmonically Interacting Electrons Confined in a Parabolic GaAs Quantum Dot in a Magnetic Field

Magnetic properties in three electrons under Rashba spin‐orbit interaction and magnetic field

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