A variational study of donors in quantum wires in an external magnetic field

Szwacka, T.

doi:10.1088/0953-8984/8/49/039

Cited by 20 publications

(7 citation statements)

References 34 publications

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“…The study of impurity states in semiconductors is imperative as the addition of impurities can change the properties of any quantum device dramatically. These effects have been studied by Zhigang et al [5], and Szwacka [6]. They find that the binding energy depends on the impurity position and on the magnitude of magnetic and electric fields applied on the structure.…”

Section: Introductionmentioning

confidence: 96%

Binding energy of impurity states in a parabolic quantum dot in a strong magnetic field

Peter

Gnanasekar

Navaneethakrishnan

2005

Physica Status Solidi (b)

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The binding energies of shallow hydrogenic impurities in parabolic quantum dots are calculated using a variational approach within the effective mass approximation. Results are obtained for Cd 1-x in Mn x in Te/Cd 1-x out Mn x out Te structures as a function of the dot radius in an external magnetic field. The results show that the impurity binding energy (i) increases with the decrease in dot radius, (ii) decreases when the magnetic field is increased for a given dot and (iii) increases to a maximum value at 90 Å and then decreases as the size of the dot increases beyond 90 Å in the finite barrier case. This feature is different from non magnetic quantum well structures. Spin polaronic shifts are estimated using a mean field theory. The results show that the shifts are ≤1 meV in the zero-field case and still smaller in a magnetic field. This shift not only decreases in a magnetic field but also decreases when the dot radius increases.

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Section: Introductionmentioning

confidence: 96%

Binding energy of impurity states in a parabolic quantum dot in a strong magnetic field

Peter

Gnanasekar

Navaneethakrishnan

2005

Physica Status Solidi (b)

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“…They have studied the effect of the finite-barrier height V 0 0X4 eV and used a non-square cross-section. Szwacka [10] has performed variational study of donors in QWW in an external magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Finite-Barrier Height Effect on the Magnetoabsorption of a Shallow Donor in a Quantum Well Wire

Zorkani¹,

Mdaa

Elkhenifer³

1999

phys. stat. sol. (b)

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We report a calculation of the absorption coefficient of donor impurities located at the center of a quasi‐1D GaAs quantum well wire with finite confinement potential as a function of photon energies for different wire widths. The theory has been formulated by using suitable variational wave functions. In the presence of a uniform magnetic field applied along the axis of the wire, there is an enhancement in the absorption peak as the size of the wire is increased and a reduction of this peak as the magnetic field is increased. We see clearly that the effect of confinement is more important compared to the effect of the magnetic field. A comparison with the infinite barrier potential is also investigated.

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“…The effect of hydrostatic pressure the binding energy of donor impurities in QW structures is calculated by Elabsy [25]. These effects have also been studied by Zhigang et al [26] and Szwacka [27]. Yuan and collaborators [28] studied the binding energy of hydrogenic impurity associated with the ground state and some low-lying states in a GaAs spherical parabolic quantum dot while taking into account hydrostatic pressure and electric field using the configuration-integration method.…”

Section: Introductionmentioning

confidence: 99%