2021
DOI: 10.3390/nano11051219
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Self-Consistent Schrödinger-Poisson Study of Electronic Properties of GaAs Quantum Well Wires with Various Cross-Sectional Shapes

Abstract: Quantum wires continue to be a subject of novel applications in the fields of electronics and optoelectronics. In this work, we revisit the problem of determining the electron states in semiconductor quantum wires in a self-consistent way. For that purpose, we numerically solve the 2D system of coupled Schrödinger and Poisson equations within the envelope function and effective mass approximations. The calculation method uses the finite-element approach. Circle, square, triangle and pentagon geometries are con… Show more

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Cited by 10 publications
(4 citation statements)
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“…The one-dimensional (1D) model is achieved by the known self-consistent Schrödinger–Poisson equation solving scheme, 35 37 which is depicted on the z-axis in Fig. 1(a).…”
Section: Theoretical Modelmentioning
confidence: 99%
“…The one-dimensional (1D) model is achieved by the known self-consistent Schrödinger–Poisson equation solving scheme, 35 37 which is depicted on the z-axis in Fig. 1(a).…”
Section: Theoretical Modelmentioning
confidence: 99%
“…This is the prototypical singleparticle Hartree mean-field approximation. For many applications an approach based on Schrödinger-Poisson is sufficient, e.g., [3,[114][115][116][117][118].…”
Section: Wigner Functionmentioning
confidence: 99%
“…The x-dependent differential equation associated with the Equation (3) when the wave function represented by Equation (4) has been considered solved through the FEM with the COMSOL-Multiphysics licensed software (5.4, COMSOL AB, Stockholm, Sweden) [44][45][46] by implementing the semiconductor module ("Semiconductor Module User's Guide" COMSOL Multiphysics ® ) [47][48][49][50]. In this way, the values of the probability amplitudes are found in any region of the system.…”
Section: Theoretical Modelmentioning
confidence: 99%