Mohammad Khalil Elsaid

Mohammad Khalil Elsaid
An-Najah National University

Ph.D

About

70
Publications
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464
Citations

Publications

Publications (70)
Article
The magnetization and magnetic susceptibility of GaAs/AlGaAs quantum ring (QR) with the presence of Rashba spin-orbit interaction and acceptor Gaussian impurity have been studied. We have used the shifted 1/N expansion to calculate the energy eigenvalues as a function of the magnetic field. The obtained energies show energy level crossings; transit...
Article
Full-text available
The Hamiltonian of an electron confined in a parabolic quantum dot in the presence of perpendicular magnetic field, donor impurity, and tilted electric field, has been solved by employing an exact diagonalization method. All the energy matrix elements have been derived in analytical forms. We have displayed the variation of the computed energy leve...
Article
Full-text available
Effects of Rashba spin-orbit interaction and topological defect on the magnetic properties of an electron confined in a 2D quantum dot, Journal ABSTRACT The energy spectra of Hamiltonian of a single electron confined in a parabolic quantum dot (QD) have been investigated, taking into considerations different external effects such as the Rashba spin...
Article
Based on the effective mass approximation, the magnetic and thermal properties of parabolic GaAs quantum dot have been investigated in the presence of Rashba Spin-Orbit interaction (RSOI), donor impurity and applied magnetic and electric fields. The exact diagonalization method has been used to solve the Hamiltonian of an electron confined in a qua...
Article
The magnetization and the magnetic susceptibility of a single electron confined in a two-dimensional (2D) parabolic quantum ring under the effect of external uniform magnetic field and in the presence of an acceptor impurity have been studied. The shifted 1/N expansion method was used to solve the Hamiltonian quantum ring within the effective mass...
Article
Full-text available
The dependence of the magnetization and magnetic susceptibility of donor impurity in parabolic GaAs (Gallium Arsenide) quantum dot has been investigated, at finite temperature under the influence of external tilted electric and magnetic fields. Based on the effective mass approximation, the Hamiltonian of an electron confined in a parabolic quantum...
Article
Full-text available
We present a theoretical study to investigate the effect of donor impurity on the magnetization (M) and the magnetic susceptibility [Formula: see text] of single electron quantum dot (QD) with Gaussian confinement in the presence of a magnetic field. We solve the Hamiltonian of this system, including the spin, by using the exact diagonalization met...
Article
In the present work, the exact diagonalization method had been implemented to calculate the ground state energy of shallow donor impurity located at finite distance along the growth axis in GaAs/AlGaAs heterostructure in the presence of a magnetic field taken to be along z direction. The impurity binding energy of the ground state had been calculat...
Article
The magnetization and the magnetic susceptibility quantities of a single electron moving in a two-dimensional (2D) parabolic quantum dot are studied under the influence of external uniform electric and magnetic fields, in the presence of a donor impurity. The Hamiltonian was solved using shifted 1/N expansion method within the effective mass approx...
Article
Full-text available
The energy states of shallow donor impurity in GaAs/AlGaAs quantum dot heterostructure with Gaussian potential have been calculated by the shifted 1/N expansion method. The effects of the impurity on the ground state energy and average statistical energy have been investigated. The present calculations show that the donor impurity modifies signific...
Article
Full-text available
The dependence of the magnetization and magnetic susceptibility of donor impurity in parabolic GaAs (Gallium Arsenide) quantum dot has been investigated, at finite temperature under the influence of external tilted electric and magnetic fields. Based on the effective mass approximation, the Hamiltonian of an electron confined in a parabolic quantum...
Article
We present a theoretical study of the magnetization (M) and the magnetic susceptibility (χ) of single electron Gaussian quantum dot (GQD) presented in a magnetic field. We solve the Hamiltonian of this system including the spin by using exact diagonalization method. All the energy matrix elements are obtained in closed analytic form. We investigate...
Article
In this work, we present a theoretical study of the magnetization of two-electron GaAs parabolic quantum dot (QD) under the combined effects of external pressure, temperature and magnetic field. First, we obtain the eigenenergies by solving the two electron quantum dot Hamiltonian using the exact diagonalization method. The obtained results show th...
Article
We present a theoretical study of electronic states and magnetization of two interacting electrons confined in coupled quantum dots (CQDs) presented in a magnetic field. We obtain the eigenenergies of the CQD by solving the relative two-dimensional (2D) Hamiltonian using the combined variational–exact diagonalization method. The dependence of magne...
Article
Full-text available
We calculate the magnetic susceptibility of two interacting electrons confined in a coupled double quantum dot presented in a magnetic field by solving the relative Hamiltonian using the combined variational and exact diagonalization methods. We have investigated the dependence of the magnetic susceptibility on temperature, magnetic field strength,...
Article
The magnetization of two interacting electrons confined in a coupled double quantum dot presented in a magnetic field has been calculated by solving the relative Hamiltonian using variational and exact diagonalization methods. We have investigated the dependence of the magnetization on temperature, magnetic field strength, confining frequency and b...
Article
Full-text available
The combined effects of pressure and temperature on the energy levels of a parabolic GaAs quantum dot under a magnetic field had been studied. The exact diagonalization method had been used to solve the two electron quantum dot Hamiltonian and to obtain the eigenenergies. In addition, we have investigated the effects of pressure and temperature on...
Article
Full-text available
In the present work, we have calculated the energy levels of GaAs parabolic quantum dot under the combined effects of external pressure, temperature and magnetic field. The eigenenergies have been obtained by solving the two electron quantum dot Hamiltonian using the exact diagonalization method. The obtained results show that the energy levels of...
Article
Full-text available
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 t...
Article
The ground state energies of two interacting electrons confined in a coupled double quantum dot (DQD) presented in a magnetic field has been calculated by solving the relative Hamiltonian using variational and exact diagonalization methods. The singlet-triplet transitions in the angular momentum and spin of the quantum dot ground state had been sho...
Article
The ground state energies of a two electron quantum dot are calculated using the variational calculation method to solve the relative part Hamiltonian of a two dimensional quantum dot presented in a uniform magnetic field. We have shown the dependence of the exchange energy of the two electron quantum dot on the confining frequency and strength o...
Article
The heat capacity of two interacting electrons confined in a quantum dot presented in a magnetic field had been calculated by solving the relative Hamiltonian using variational method. We had investigated the dependence of the heat capacity on temperature, magnetic field and confining frequency. The singlet triplet transitions in the ground state o...
Poster
The heat capacity of two interacting electrons confined in a parabolic quantum dot presented in a magnetic field had been calculated by solving the Hamiltonian using exact diagonalization method. We had investigated the dependence of the heat capacity on temperature, magnetic field and confining frequency. The singlet triplet transitions in the gro...
Article
Full-text available
Abstract: The magnetization of two interacting electrons confined in a quantum dot presented in a magnetic field had been calculated by solving the relative Hamiltonian using variational method. We had investigated the dependence of the magnetization on temperature, magnetic field strength and confining frequency. The singlet-triplet transitions in...
Article
Full-text available
We calculate the magnetization and susceptibility of two interacting electrons confined in a quantum dot presented in a magnetic field by solving the Hamiltonian using the exact diagonalization method. We investigate the dependence of the magnetization and susceptibility on temperature, magnetic field, and confining frequency. The singlet-triplet t...
Article
The eigenenergies of the low-lying energy levels of a two-dimensional quantum-dot helium are calculated. We have used the shifted 1/N expansion method to solve the relative part Hamiltonian of the quantum-dot helium for various values of coulomb to confinement energies ratio in a zero magnetic field. Based on comprehensive comparisons, the shifted...
Article
The low-lying energy levels of a two electron quantum dot are calculated. We solve the relative part Hamiltonian of the quantum dot presented in a magnetic field of arbitrary strength using shifted 1/N expansion method. The dependence of the singlet-triplet energy gap (J) on the strength of the magnetic field has been displayed. Based on comparison...
Article
The ground-state properties of two-dimensional quantum-dot helium have been studied. The shifted 1/N expansion method has been used to solve the relative part Hamiltonian of two electrons confined in a quantum in the presence of an applied uniform magnetic field. The spin singlet-triplet transition in the ground state of the QD-helium is also shown...
Article
The spectroscopic properties of the two electron quantum dot presented in a magnetic field are studied. We have solved the relative part Hamiltonian of the two electron quantum dot using the shifted 1/N expansion method. The transitions in the angular momentum and the spin oscillations in the ground state of the quantum dot system have been discuss...
Article
The ground-state properties of a two-dimensional quantum-dot are studied. We have used the shifted 1/N expansion method to solve the relative part Hamiltonian of two electrons confined in a quantum in the presence of an applied uniform magnetic field. The spin singlet-triplet transition in the ground state of the QD is shown. We have also displayed...
Article
The ground-state energies of two interacting electrons, confined in a quantum dot (QD), are calculated. We have used the shifted 1/N expansion method to solve the relative part Hamiltonian of a QD presented in a uniform magnetic field. An energy expression for QD states in a magnetic field of arbitrary strength is given. The transitions in the angu...
Article
Full-text available
An interpolation formula between the energies of a quantum dot in high-and low-magnetic field limits is proposed. The formula is implemented to produce the energy spectra of the parabolic quantum dot in the presence of a magnetic field of arbitrary strength. The transitions in the angular momenta of the ground state energy of interacting electrons...
Article
The transitions in the spin and orbital angular momentum of the ground state of two interacting electrons, parabolically confined in the quantum dot, in a magnetic field of arbitrary strength are studied.
Article
The energy level structure of the relative motion of two electrons con®ned in a quantum dot is studied using the 1/N expansion method for any ratio of Coulomb to con®nement energies.
Article
The energy spectra of two interacting electrons confined in a quantum dot of two and three dimensions are calculated by using the shifted 1/D expansion method. We have shown the dependence of the electron-electron interaction energy on the dimensionality of the quan- tum dot. An explanation is given for the energy level crossings and transitions in...
Article
The spectra of two interacting electrons, confined in a quantum dot, is studied for any ratio of coulomb to confinement energy by using the shifted /N expansion method. An explanation is given to the energy-level crossings which occur in the quantum dot spectra. The oscillation of the spin of the ground state as the magnetic field varies is studied...
Article
The shifted /N expansion method is used to study the spectral properties of two interacting electrons confined in a QD, under influence of a uniform magnetic field of arbitrary strength. We give explanation to the transitions in the spin and angular momenta of the QD ground state as the magnetic field sweeps. The electron addition energy is also ca...
Article
The energy spectrum of two interacting electrons, confined in a parabolic quantum dot, presented in a magnetic field, is obtained by using the shifted 1/D expansion method. The effects of electron-electron interaction and quantum dot size on the energy levels are studied. Interesting features of the quantum dot spectra such as the energy level cros...
Article
The energy spectrum of two interacting electrons, confined in a parabolic quantum dot, presented in a magnetic field is obtained. We have analyzed the energy level crossings between spin-singlet and spin-triplet states. The influence of the quantum dot size on these crossings is also shown. The results of our calculations seem to be in good agreeme...
Article
The shifted 1/N expansion method has been used to study the relative Hamiltonian of two interacting electrons confined in a quantum dot. The eigenenergy spectra are obtained for any arbitrary ratio of Coulomb to confinement energies. Interesting features of the quantum dot spectra, such as the energy-level crossings and the removal of the degenerac...
Article
The energy spectrum of two interacting electrons, confined in a parabolic quantum dot, presented in a magnetic field is obtained. We have analyzed the energy level crossings between spin-singlet and spin-triplet states. The influence of the quantum dot size on these crossings is also shown. The resultsof our calculations seem to be in good agreemen...
Article
The spectra of two-electron quantum dot in a magnetic field of arbitrary strength is studied by using the shifted 1/N expansion method. The comparisons show that our results are in good agreement with the results of fixed-phase quantum Monte Carlo method and exact ones [Bolton, Phys. Rev. B54 (1996) 4780].
Article
The energy spectra of parabolic quantum dots with two interacting electrons in a magnetic field are obtained. The transitions in the ground-state energy of the system are shown. The effective-mass Hamiltonian is solved using the 1/N expansion method and good agreement is obtained when our results are tested against the exact diagonalization method.
Article
The energy expressions for QD presented in high- and low-magnetic fields are calculated. An interpolation formula between the energies of the quantum dot in both limits is proposed. The formula is implemented to produce the energy spectra of the parabolic quantum dot in the presence of a magnetic field of arbitrary strength. The transitions in the...
Article
The spectra of a two-electron quantum dot in a magnetic field of arbitrary strength is obtained by using the shifted 1/Nexpansion method. The level ordering as well as the transitions in the angular momenta of the quantum dot are studied. The dependence of the electron absorption spectra on the applied magnetic field is also calculated. Comparisons...
Article
Full-text available
The energy expressions for QD presented in high- and low-magnetic fields are calculated. An interpolation formula between the energies of the quantum dot in both limits is proposed. The formula is implemented to produce the energy spectra of the parabolic quantum dot in the presence of a magnetic field of arbitrary strength. The transitions in the an...
Article
The energy spectrum of two interacting electrons confined in a quantum dot in the presence of a magnetic field has been calculated by interpolating between the eigenenergies in the high- and low-field limits.
Article
The photoionization cross-section of donor impurities in quasi- 1D GaAs quantum well wire as a function of photon energy is calculated for different wire widths. The influences of a uniform magnetic field, applied along the axis of the wire, on the optical spectrum associated with the electron transition between the donor ground-state and the first...
Article
The energy spectra of two interacting electrons, confined by a parabolic potential, in a magnetic field applied perpendicular to the plane of the quantum dot are obtained. The electron-electron interaction and the energy level-crossings are discussed. Comparison shows that our calculated spectra of the quantum dot states are in good agreement with...
Article
The transitions in the spin and orbital angular momentum of the ground state of two interacting electrons, parabolically confined in the quantum dot, in a magnetic field of arbitrary strength are studied.
Article
The energy spectra of two interacting electrons in a quantum dot confined by a parabolic potential in an applied magnetic field of arbitrary strength are obtained. The shifted $1/N$ expansion method is used to solve the effective-mass Hamiltonian. The influence of the electron-electron interaction on the ground-state energy and its significant effe...
Article
Full-text available
The dependence of the photoionization cross-section on photon energy is calculated for shallow donors in finite-barrier GaAs/Ga1−xAlxAs quantum wells as well as the binding energy as a function of well width. The effect of a magnetic field is also considered.
Article
The absorption coefficient of donor impurities located at the centre of a quasi-1D GaAs quantum well wire is calculated as a function of photon energy for different wire widths. The influence of a uniform magnetic field, applied along the axis of the wire, on the optical spectrum associated with the electron transition between the donor ground stat...
Article
The effects of an applied magnetic field of arbitrary strength on shallow donor impurity states in a parabolic quantum dot are theoretically studied. The shifted 1/N-expansion method is used to solve the impurity effective-mass Hamiltonian. The transition energies between the impurity ground and the excited states (2P±) are also calculated.
Article
The eigenenergies of low-lying states of excitons in a quantum dot with a harmonic confining potential are obtained by solving the effective-mass Hamiltonian using the shifted 1/N expansion method. The ground state binding energy is in excellent agreement with previous results.
Article
The shifted /N expansion method is used to solve the effective-mass Hamiltonian for an interacting electron-hole pair in a quantum dot. The ground-state energy of an exciton parabolically confined in a quantum dot as a function of quantum dot size is obtained. Comparison shows our results are in excellent agreement with those of Que.
Article
The eigenenergies of low-lying states of excitons in a quantum dot with a harmonic confining potential are obtained by solving the effective-mass Hamiltonian using the shifted 1/N expansion method. The ground state binding energy is in excellent agreement with previous results.
Article
The dependence of photoionization cross-section on photon energy is calculated for shallow donors in quantum wells. The resulting spectra is completely different for light polarized along and perpendicular to the growth direction.
Article
Polarizabilities of shallow donors in GaAs/AlxGa1-xAs quantum wells are calculated with use of the Hasse variational method within the effective-mass approximation. The magnetic field dependence of polarizabilities is also studied.
Article
The dependence of the photoionization cross-section on photon energy is calculated for shallow donors in infinite-barrier GaAs/Ga1−xAlx As quantum well as a function of well width. The effect of a magnetic field is also considered.
Article
Summary The binding energy for on-centre impurities in a rectangular quantum well wire is calculated as a function of the width of the wire and perpendicular magnetic field. The results for zero-magnetic-field case are in perfect agreement with previous calculations.

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