Abstract
In this work, we present a theoretical study of the magnetic susceptibility (x of two-electron GaAs parabolic quantum dot (QD) under the combined effects of external pressure, temperature and magnetic field. We used the exact diagonalization method to obtain the eigenenergies by solving the two electron quantum dot Hamiltonian taking into account the dependence of the effective mass and dielectric constant on the hydrostatic pressure and temperature. The pressure and temperature show significant effects on the calculated QD spectra. Next, we investigate the behavior of the magnetization of a quantum dot as a function of external pressure, temperature, confining frequency and magnetic field. The singlet-triplet transitions in the ground state of the quantum dot spectra and the corresponding jumps in the magnetic susceptibility spectra have been shown. The comparison shows that our results are in very good agreement with the reported works.
Highlights
Recent nanofabrication methods have it possible to design different types of quantum dots with the flexibility of controlling the size, shape, and number of electrons
We present the effects of pressure, temperature, confining frequency and magnetic field cyclotron frequency on the magnetic susceptibility of two interacting electrons in a quantum dot made from GaAs material in Figures 1 to 5 and Table 1
We found that the overall shape of the spectra of the quantum dot (QD) remains the same while the eigenenergies are enhanced under the effect of external pressure
Summary
Recent nanofabrication methods have it possible to design different types of quantum dots with the flexibility of controlling the size, shape, and number of electrons. These controllable physical properties of the zero-dimensional nanostructure makes it promising candidate for a wide range of device applications like quantum dot lasers, solar cells, single electron transistors and quantum computers (Ashoori et al, 1993; Ciftja, 2013; Kastner, 1992; Loss & DiVincenzo, 1998; Burkard, Loss, & DiVincenzo, 1999). The aim of this work, is to investigate the magnetic susceptibility of two interacting electrons confined in a parabolic quantum dot which is presented in a magnetic field.
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