Master's Thesis from the year 2013 in the subject Physics - Quantum Physics, Shahjalal University of Science and Technology (Department of Physics), course: Nanostructure Physics, language: English, abstract: Unravel the mysteries of electron behavior at the nanoscale with this deep dive into the quantum world of single rectangular tunnel barriers. Journey into the realm where classical intuition breaks down and quantum mechanics reigns supreme, influencing the very fabric of microelectronics and nanostructure physics. This comprehensive exploration meticulously dissects the transmission of electrons through a single rectangular tunnel barrier in the intriguing non-tunneling regime, offering a blend of theoretical rigor and practical insights. Beginning with a solid foundation in quantum mechanics, including Schrodinger's equation and the properties of wavefunctions, the study progresses to explore the intricacies of microelectronics, semiconductor physics, and the unique characteristics of nanostructures. Discover how analytical calculations and numerical simulations are employed to unravel the parametric dependence of electron transmission on barrier height and width. Gain a profound understanding of the oscillatory transmission phenomena, where the transmission coefficient dances between maxima and minima, governed by the subtle interplay of quantum principles. This book meticulously examines both the qualitative and quantitative aspects of these transmission peaks and valleys, providing a comprehensive analysis of their behavior under varying conditions. Explore the impact of these phenomena on advanced electronic devices and nanotechnologies, bridging the gap between fundamental theory and real-world applications. Whether you're a seasoned researcher or a student venturing into the quantum realm, this book offers a valuable resource for navigating the complexities of electron transport in nanoscale systems, revealing the secrets behind the seemingly simple single rectangular tunnel barrier and its profound implications for the future of technology. Master the concepts of transfer matrix calculations, delve into band models of insulators and semiconductors, and explore the cutting-edge world of bandgap engineering, all within the context of this focused investigation into electron transmission. Unlock the potential of quantum mechanics to revolutionize microelectronics and nanostructure physics, and embark on a journey of discovery that will reshape your understanding of the nanoscale world. This exploration provides crucial insights for scientists and engineers working to design and optimize nanoscale devices, offering a clear and concise pathway to understanding the fundamental principles governing electron transport in these systems. The detailed analysis of transmission coefficients and parametric dependencies provides a powerful toolkit for predicting and controlling the behavior of electrons in a variety of applications, from advanced transistors to quantum computing.
