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Numerical Analysis of the Electrostatic Potential of the Based on Semiconductor Heterostructure

Author: KangYu
Tutor: DuLei
School: Xi'an University of Electronic Science and Technology
Course: Materials Physics and Chemistry
Keywords: Heterostructures QPC Two-dimensional electron gas Self-consistent calculation Numerical algorithms
CLC: O471.1
Type: Master's thesis
Year: 2010
Downloads: 27
Quote: 0
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Abstract


To design semiconductor heterostructure quantum point contact (QPC) - based devices , need to know the distribution of the electrostatic potential in the QPC structure and its control method . This study QPC electrostatic potential numerical methods , and analysis of the factors that affect the electrostatic potential of the QPC . Be applied from the QPC sensitive charge detector principle and the development of the current situation , the basic structure and characteristics of the QPC QPC used as a sensitive charge detector principle and influencing factors , and to determine the direction of the QPC the electrostatic potential research . The influencing factors on the the QPC structure and QPC electrostatic potential on the basis of the establishment of the the QPC devices physical model , and according to the methods of quantum mechanics , the mathematical model of the the QPC electrostatic potential calculation of the quasi- 3D . In this paper, the finite-difference algorithm , quasi- 3D self - consistent calculation of the effective mass equation and the Poisson equation , QPC electrostatic potential and the internal distribution of the electron density . According to the calculated results , analysis gate structure , the gate voltage and other characteristics and size of the right QPC electrostatic potential distribution , discussion of a gate shape , the the QPC potential changes under the influence of the gate area and the gate voltage , and the numerical results obtained potential substitution program QPC conductance QPC numerical results of the electrostatic potential in the QPC conductance calculations . This paper for the the QPC device design and optimization has a guiding role in the theoretical and engineering , laid the foundation for the CAD tools designed for the development of QPC .

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CLC: > Mathematical sciences and chemical > Physics > Semiconductor physics > Semiconductive Theory > Semiconductor quantum theory
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