Thermodynamic behaviour of Rashba quantum dot in the presence of magnetic field

Gumber, Sukirti; Kumar, Manoj; Jha, Pradip K.; Mohan, Man

doi:10.1088/1674-1056/25/5/056502

Cited by 38 publications

(8 citation statements)

References 41 publications

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“…(15b). Such behaviour is typical in systems involving a Rashba QD in the presence of an external magnetic field [68]. In addition, the non-linear effects are enhanced by increasing the intensity of the external electric field as described by Eq.…”

Section: Resultsmentioning

confidence: 88%

“…In Fig. 5-(b) we show the behavior of C v at low temperatures, where the peak structure observed is the wellknown Schottky anomaly, which occurs whenever the thermal energy gained by the electrons in the system is enough for only the lowest two levels [21,68,69].…”

Section: Resultsmentioning

confidence: 99%

“…5-(b) one can notice that introducing a SOI sharpens the peaks and shifts them to lower temperature values. The reason is that the SOI lifts the spin degeneracy and more energy levels are available in the unit range of energy, thereby reducing the level spacing and shifting the peak to lower thermal energy [68,69]. In Fig.…”

Section: Resultsmentioning

confidence: 99%

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Impact of a topological defect and Rashba spin-orbit interaction on the thermo-magnetic and optical properties of a 2D semiconductor quantum dot with Gaussian confinement

Castaño-Yepes

Amor-Quiroz

Ramirez-Gutierrez

et al. 2019

Physica E: Low-dimensional Systems and Nanostructures

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In this paper, we examine the effect of introducing a conical disclination on the thermal and optical properties of a two dimensional GaAs quantum dot in the presence of a uniform and constant magnetic field. In particular, our model consists of a single-electron subject to a confining Gaussian potential with a spin-orbit interaction in the Rashba approach. We compute the specific heat and the magnetic susceptibility from the exact solution of the Schrödinger equation via the canonical partition function, and it is shown that the peak structure of the Schottky anomaly is linearly displaced as a function of the topological defect. We found that such defect and the Rashba coupling modify the values of the temperature and magnetic field in which the system behaves as a paramagnetic material. Remarkably, the introduction of a conical disclination in the quantum dot relaxes the selection rules for the electronic transitions when an external electromagnetic field is applied. This creates a new set of allowed transitions causing the emergence of semi-suppressed resonances in the absorption coefficient as well as in the refractive index changes which are blue-shifted with respect to the regular transitions for a quantum dot without the defect.

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Section: Resultsmentioning

confidence: 88%

Section: Resultsmentioning

confidence: 99%

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Impact of a topological defect and Rashba spin-orbit interaction on the thermo-magnetic and optical properties of a 2D semiconductor quantum dot with Gaussian confinement

Castaño-Yepes

Amor-Quiroz

Ramirez-Gutierrez

et al. 2019

Physica E: Low-dimensional Systems and Nanostructures

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“…The advancements in semiconductor technology have made it feasible to develop structures with features that are particularly sensitive to heterostructure confinement, which has piqued interest. For example, by using an external magnetic field, the electronic states of the carriers confined in the quantum dot (QD) may be significantly altered [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. This important topic has been well researched.…”

Section: Introductionmentioning

confidence: 99%

The Gaussian impurity effect on the electronic and magnetic properties of an electron confined in a lateral quantum dot

Shaer¹,

Elsaid²

2022

Nanosystems: Phys. Chem. Math.

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The Hamiltonian of a single electron trapped in a lateral quantum dot in the influence of an acceptor Gaussian impurity has been solved using a variational wavefunction as a superposition of a product of eigenfunctions of the harmonic oscillator in x and y coordinates. The effects of Gaussian impurity parameters on the system's spectra have been investigated as a function of the magnetic field. Furthermore, the electron probability has been displayed to investigate the impurity position effect on the energy levels. As a second step, the calculated energy spectra were utilized to compute and visualize the system's magnetic properties in the presence of the magnetic field and impurity. The obtained energy spectra show level crossings in the presence of acceptor impurity, which causes oscillations in the magnetic susceptibility and magnetization curves, resulting in an exciting diamagnetic-paramagnetic phase transition. KEYWORDS lateral quantum dot, magnetic properties, Gaussian impurity, diamagnetic-paramagnetic transition FOR CITATION Shaer A., Elsaid M.K. The Gaussian impurity effect on the electronic and magnetic properties of an electron confined in a lateral quantum dot.

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“…In fact, some theoretical studies of the impact of the Rashba-SOI on the optical properties of a disk-like QD in the presence of an external magnetic field have been carried out within the framework of the density matrix approach [34]. Notably, a spin dependence of the spatial wave functions is typical in systems involving a Rashba QD in the presence of an external magnetic field, which can affect the thermo-magnetic and optical properties of a QD [35,36].…”

Section: Introductionmentioning

confidence: 99%

Super-statistical description of thermo-magnetic properties of a system of 2D GaAs quantum dots with gaussian confinement and Rashba spin–orbit interaction

Castaño-Yepes

Amor-Quiroz

2020

Physica A: Statistical Mechanics and its Applications

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We examine the effect of non-equilibrium processes modeled by the introduction of a generalized Boltzmann factor on the thermal and magnetic properties of an array of two-dimensional GaAs quantum dots in the presence of an external uniform and constant magnetic field. The model consists of a single-electron subject to a confining Gaussian potential with a spin-orbit interaction in the Rashba approach. We compute the specific heat and the magnetic susceptibility within the formalism of χ 2 -superstatistics from the exact solution of the Schrödinger equation. Furthermore, an analytic solution for the partition function allows a study of the impact of the number of subsystems on the superstatistical corrections and confirms that the ordinary thermo-magnetic properties are recovered whenever the thermal distribution can be approximated by a Dirac delta. Also, we found a progressive disappearance of the Schottky anomaly with decreasing number of subsystems, while the specific heat ceases to be a monotonically increasing function with respect to the average temperature when the χ 2 -distribution is spread over a large range of temperatures. Remarkably, the introduction of fluctuations in the temperature is found to suppress the paramagnetic phase transition that would otherwise appear at low temperatures. Finally, we emphasize that an appropriate construction of the definition of physical observables is crucial for obtaining a correct description of the physics derived from a non-extensive construction of the entropy.

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Thermodynamic behaviour of Rashba quantum dot in the presence of magnetic field

Cited by 38 publications

References 41 publications

Impact of a topological defect and Rashba spin-orbit interaction on the thermo-magnetic and optical properties of a 2D semiconductor quantum dot with Gaussian confinement

Impact of a topological defect and Rashba spin-orbit interaction on the thermo-magnetic and optical properties of a 2D semiconductor quantum dot with Gaussian confinement

The Gaussian impurity effect on the electronic and magnetic properties of an electron confined in a lateral quantum dot

Super-statistical description of thermo-magnetic properties of a system of 2D GaAs quantum dots with gaussian confinement and Rashba spin–orbit interaction

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