Spin Splitting of the X-valley Donor Impurity States in AlAs Barriers and the Spatial Distribution of the Probability Density of Their Wave Functions

2005 ◽  
Vol 39 (10) ◽  
pp. 1162
Author(s):  
E. E. Vdovin
Keyword(s):  
Spatial Distribution ◽  
Probability Density ◽  
Wave Functions ◽  
Spin Splitting ◽  
Donor Impurity ◽  
Impurity States

scholarly journals Spin splitting of X-valley-related donor impurity states in an AlAs barrier

2005 ◽  
Vol 71 (19) ◽  
Author(s):  
E. E. Vdovin ◽  
Yu. N. Khanin ◽  
L. Eaves ◽  
M. Henini ◽  
G. Hill
Keyword(s):  
Spin Splitting ◽  
Donor Impurity ◽  
Impurity States ◽  
Related Donor

RESONANT DONOR STATES IN QUANTUM WELL

2011 ◽  
Vol 25 (02) ◽  
pp. 89-96 ◽  
Author(s):  
ARNOLD ABRAMOV
Keyword(s):  
Quantum Well ◽  
Quantum Wells ◽  
Binding Energies ◽  
Wave Functions ◽  
Donor Impurity ◽  
Impurity States ◽  
Method Of Calculation ◽  
Resonant States ◽  
Versus Impurity ◽  
Donor States

A method of calculation of donor impurity states in a quantum well is developed. The used techniques have made it possible to find the binding energy both of ground and excited impurity states attached to each QW subband. The positions of the resonant states in 2D continuum are determined as poles of corresponding wave functions. As a result of such an approach the identification of resonant states in 2D continuum is avoided, introducing special criterions. The calculated dependences of binding energies versus impurity position are presented for various widths of Si / Si 1-x Ge x quantum wells.

Exact analytical solutions for shallow impurity states in symmetrical paraboloidal and hemiparaboloidal quantum dots

Open Physics ◽  
2008 ◽  
Vol 6 (1) ◽  
Author(s):  
M. Assaid ◽  
M’hamed Aydi ◽  
M. Feddi ◽  
Françis Dujardin
Keyword(s):  
Quantum Dot ◽  
Bessel Functions ◽  
Shallow Donor ◽  
Wave Functions ◽  
Whittaker Functions ◽  
Donor Impurity ◽  
Linear Combinations ◽  
Impurity States ◽  
Shallow Impurity ◽  
Kinetic And Potential Energies

AbstractThe problem of a shallow donor impurity located at the centre of a symmetrical paraboloidal quantum dot (SPQD) is solved exactly. The Schrödinger equation is separated in the paraboloidal coordinate system. Three different cases are discussed for the radial-like equations. For a bound donor, the energy is negative and the solutions are described by Whittaker functions. For a non-bound donor, the energy is positive and the solutions become coulomb wave functions. In the last case, the energy is equal to zero and the solutions reduce to Bessel functions. Using the boundary conditions at the dot surfaces, the variations of the donor kinetic and potential energies versus the size of the dot are obtained. The problem of a shallow donor impurity in a Hemiparaboloidal Quantum dot (HPQD) is also studied. It is shown that the wave functions of a HPQD are specific linear combinations of those of a SPQD.

scholarly journals Donor Impurity-Related Optical Absorption in GaAs Elliptic-Shaped Quantum Dots

2017 ◽  
Vol 2017 ◽  
pp. 1-18 ◽  
Author(s):  
M. A. Londoño ◽  
R. L. Restrepo ◽  
J. H. Ojeda ◽  
Huynh Vinh Phuc ◽  
M. E. Mora-Ramos ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Quantum Dots ◽  
Optical Absorption ◽  
Electric Field ◽  
Wave Functions ◽  
Basic Information ◽  
Donor Impurity ◽  
The Finite Element Method ◽  
Impurity States ◽  
Numerical Approaches

The conduction band and electron-donor impurity states in elliptic-shaped GaAs quantum dots under the effect of an externally applied electric field are calculated within the effective mass and adiabatic approximations using two different numerical approaches: a spectral scheme and the finite element method. The resulting energies and wave functions become the basic information needed to evaluate the interstate optical absorption in the system, which is reported as a function of the geometry, the electric field strength, and the temperature.

Spin splitting of X-valley-related donor impurity states in an AlAs barrier

JETP Letters ◽  
2004 ◽  
Vol 80 (2) ◽  
pp. 120-123
Author(s):  
Yu. N. Khanin ◽  
E. E. Vdovin
Keyword(s):  
Spin Splitting ◽  
Donor Impurity ◽  
Impurity States ◽  
Related Donor

Electronic and shallow donor impurity states in GaAs‐Ga1−xAlxAs quantum‐well wires: Effects of dielectric mismatch

1994 ◽  
Vol 75 (11) ◽  
pp. 7389-7393 ◽  
Author(s):  
Zhen‐Yan Deng ◽  
Ting‐Rong Lai ◽  
Jing‐Kun Guo ◽  
Shi‐Wei Gu
Keyword(s):  
Quantum Well ◽  
Shallow Donor ◽  
Donor Impurity ◽  
Impurity States ◽  
Quantum Well Wires ◽  
Dielectric Mismatch

Influence of Al Composition on Donor Impurity States in Self-Formed GaAs-AlxGa1-xAs Quantum Rings

2013 ◽  
Vol 380-384 ◽  
pp. 4284-4289
Author(s):  
Guang Xin Wang ◽  
Xiu Zhi Duan
Keyword(s):  
Binding Energy ◽  
Electric Field ◽  
Growth Direction ◽  
Uniform Electric Field ◽  
Donor Impurity ◽  
Impurity States ◽  
Quantum Rings ◽  
Mass Approximation ◽  
Donor Binding Energy ◽  
Special Value

Based on the the effective mass approximation and variational approach, the donor impurity states confined in self-formed GaAs/AlxGa1-xAs quantum rings (QRs) are investigated theoretically. A uniform electric field is applied along the growth direction of the QR. The different effective masses in the different regions of the GaAs/AlxGa1-xAs QR are taken into consideration. Numerical results show that the binding energy of a donor impurity increases gradually, reaches a maximum value, and then decreases quickly to the special value as the QR height decreases. Given a fixed QR size, the binding energy increases for the impurity located at the center of the QR when the Al composition increases. In addition, it can also be found that when the applied electric field strength increases, the donor binding energy increases for impurities localized at the negative z axis of the QR; however, the donor binding energy decreases slightly for impurities located at the center and positive z axis of the QR.

Spatial Distribution of Impurity States of Cr Atoms in (Zn,Cr)Te Studied by STM

2012 ◽  
Author(s):  
K. Kanazawa ◽  
S. Yoshida ◽  
H. Shigekawa ◽  
S. Kuroda
Keyword(s):  
Spatial Distribution ◽  
Impurity States
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