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Biasing metal-semiconductor junctions involves applying a voltage across the junction. Specifically, the metal is connected to a voltage source, while the semiconductor is grounded. This technique is essential for controlling the direction and magnitude of current flow in electronic devices, including diodes, transistors, and photovoltaic cells.
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The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect.
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Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
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A Systematic Approach for Multidimensional, Closed-Form Analytic Modeling: Minority Electron Mobilities in Ga1-xAlxAs

H S Bennett1, J J Filliben1

  • 1National Institute of Standards and Technology, Gaithersburg, MD 20899-0001.

Journal of Research of the National Institute of Standards and Technology
|August 24, 2016
PubMed
Summary

This study presents a new method to create simplified mathematical models for electronic device simulations. It provides a closed-form expression for minority electron mobilities in Gallium Aluminum Arsenide (Ga1-xAlxAs) materials.

Keywords:
electron mobilitiesmelding functionsregression analysesstandard deviations

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Area of Science:

  • Computational physics
  • Materials science
  • Semiconductor device modeling

Background:

  • Developing efficient physical models for microelectronic and optoelectronic devices requires representing complex numerical data in simplified forms.
  • Vast amounts of transport property data in multiple dimensions pose a challenge for computational simulations.

Purpose of the Study:

  • To present a general methodology for deriving closed-form analytic expressions from numerical data.
  • To apply this methodology to determine minority electron mobilities in p-type Ga1-xAlxAs.

Main Methods:

  • Developed a general methodology for data representation in bounded 2D spaces.
  • Applied regression analyses and graphical methods to derive analytic expressions.
  • Calculated minority electron mobilities as a function of acceptor density and AlAs mole fraction.

Main Results:

  • Obtained a closed-form analytic expression for minority electron mobilities in p-type Ga1-xAlxAs at 300 K.
  • The expression is valid for acceptor densities from 10^16 to 10^20 cm^-3 and AlAs mole fractions from 0.0 to 0.3.

Conclusions:

  • The presented methodology offers a practical approach to simplify complex numerical data for device simulations.
  • The derived analytic expression for minority electron mobilities can enhance computational efficiency.
  • The methodology is expected to be applicable to other physical modeling problems.