Suppression of Zeeman splitting in a GaAs quantum dot

Mukhopadhyay, Soma; Chatterjee, Ashok

doi:10.1103/physrevb.59.r7833

Cited by 23 publications

(13 citation statements)

References 17 publications

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“…We also define for the sake of convenience a parameter which is proportional to the magnetic field strength. One can see that 1 γ = 0.47226 B ( T ) 22,26 . Figure 1 shows the distribution of the electron and hole of an exciton in a GaAs QD.…”

Section: Gs Results and Discussionmentioning

confidence: 96%

Magnetic field effect on the energy levels of an exciton in a GaAs quantum dot: Application for excitonic lasers

Jahan

Boda

Shankar

et al. 2018

Sci Rep

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The problem of an exciton trapped in a Gaussian quantum dot (QD) of GaAs is studied in both two and three dimensions in the presence of an external magnetic field using the Ritz variational method, the 1/N expansion method and the shifted 1/N expansion method. The ground state energy and the binding energy of the exciton are obtained as a function of the quantum dot size, confinement strength and the magnetic field and compared with those available in the literature. While the variational method gives the upper bound to the ground state energy, the 1/N expansion method gives the lower bound. The results obtained from the shifted 1/N expansion method are shown to match very well with those obtained from the exact diagonalization technique. The variation of the exciton size and the oscillator strength of the exciton are also studied as a function of the size of the quantum dot. The excited states of the exciton are computed using the shifted 1/N expansion method and it is suggested that a given number of stable excitonic bound states can be realized in a quantum dot by tuning the quantum dot parameters. This can open up the possibility of having quantum dot lasers using excitonic states.

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Section: Gs Results and Discussionmentioning

confidence: 96%

Magnetic field effect on the energy levels of an exciton in a GaAs quantum dot: Application for excitonic lasers

Jahan

Boda

Shankar

et al. 2018

Sci Rep

Self Cite

View full text Add to dashboard Cite

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“…We will now study the Dirac equation (10) in the background of metric (1). Let us write the null tetrad basis vectors of the null tetrad as…”

Section: Dirac Equation In Sebhmentioning

confidence: 99%

“…On the other hand, the behaviour of a spin-1/2 particle in different backgrounds has been studied by many authors [8][9][10]. Similarly, the behaviour of a spin-1/2 particle around a charged black hole is studied by Mukhopadhyay [11], where he studied the behaviour of the potential by varying the charge of the black hole.…”

Section: Introductionmentioning

confidence: 99%

Behavior of a spin-1/2 massive charged particle in Schwarzschild immersed in an electromagnetic universe

Al-Badawi

2018

Gen Relativ Gravit

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The Dirac equation is considered in Schwarzschild black hole immersed in an electromagnetic universe with charge coupling. The equations of the charged spin-1/2 particle is separated into radial and angular equations by adopting the Newman-Penrose formalism. The angular equations obtained are similar to the Schwarzschild geometry. For the radial equations we manage to obtain the one dimensional Schrödinger-type wave equations with effective potentials. Due to the presence of electromagnetic field from the surroundings, the interaction with the charged spin-1/2 is considered. Finally, we study the behaviour of the potentials by plotting them as a function of radial distance and expose the effect of the external parameter, charge and the frequency of the particle on them.

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“…Unfortunately, multi-electrons QD problem with the e-e interaction does not recognize exactly theoretical solution. Thus, many analytical methods and numerical approximations have been adopted to explore and study a multi-electrons QD problem (Beenakker, 1991;Oaknin, Palacios, Brey, & Tejedor, 1994;Johnson & Reina, 1992;Reusch & Grabert, 2003;Emperador, Lipparini, & Serra, 2006;McEuen, Foxman, Kinaret, Meirav, Kastner, Wingreen, & Wind, 1992;Harju, Sverdlov, Nieminen, & Halonen, 1999;Ferconi & Vignale, 1994;Cipriani, Rosa-Clot, & Taddei, 2000;Mukhopadhyay & Chatterjee, 2000;Harju, Sverdlov, Barbiellini, & Nieminen, 1998;Mukhopadhyay & Chatterjee, 1999a, 1999bLiu et al, 2017). While a portion of these techniques are excessively shortsighted, making it impossible to catch the fundamental features of QDs, some are limited just to the ground energy levels, some ignore to incorporate the correlation and exchange effects legitimately, some are unable to manage and work with high electron density and large magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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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Suppression of Zeeman splitting in a GaAs quantum dot

Cited by 23 publications

References 17 publications

Magnetic field effect on the energy levels of an exciton in a GaAs quantum dot: Application for excitonic lasers

Magnetic field effect on the energy levels of an exciton in a GaAs quantum dot: Application for excitonic lasers

Behavior of a spin-1/2 massive charged particle in Schwarzschild immersed in an electromagnetic universe

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

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