Calculating Effective Mass in Aluminum Oxide and Studying Current Distribution as a Function of Field and Temperature Using Fowler-Nordheim Function
Abstract
In this study, the effective mass of aluminum oxide (Al₂O₃) and current distribution as a function of electric field and temperature were investigated using the elliptic Fowler-Nordheim function. The research highlights the changes in the effective mass due to environmental factors and the crystal structure. It demonstrates that the effective mass of aluminum oxide differs when it is surrounded by two layers of aluminum compared to when it forms independently. This is attributed to stress effects, surface boundaries, charge distribution, and quantum effects.
The effective mass was calculated by analyzing the curvature of energy levels using the second derivative of energy with respect to the wave vector. Experimental data were employed to plot the relationship between current distribution, electric field, and temperature. The results showed an exponential increase in current with an increase in field and temperature, emphasizing the sensitivity of aluminum oxide to these factors. The graphical representation also demonstrated the relationship between current and temperature variations with correlation equations that elucidate the system dynamics.
These findings are of great significance in microelectronics applications, such as designing insulating layers for semiconductors, solar cells, and optoelectronic systems. The researchers highlighted the potential of leveraging aluminum oxide properties to enhance device performance by controlling the effective mass. The study also emphasized the need for further research to include additional factors such as pressure and impurities to improve result accuracy.
This research forms a foundation for understanding the electronic properties of aluminum oxide and its relationship with environmental factors, paving the way for its use in advanced industrial and technological applications.
Keywords: Effective Mass - Fowler-Nordheim - Al₂O₃ - Current Distribution
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