Classical and Quantum Theory to Nanoelectronic Devices
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Electronic Conduction: Classical and Quantum Theory to Nanoelectronic Devices provides a concise, complete introduction to the fundamental principles of electronic conduction in microelectronic and nanoelectronic devices, with an emphasis on integrating the quantum aspects of conduction.
The chapter coverage begins by presenting the classical theory of conduction, including introductory chapters on quantum mechanics and the solid state, then moving to a complete presentation of essential theory for understanding modern electronic devices. The author’s unique approach is applicable to microscale and nanoscale device simulation, is particularly timely given the explosion in the nanoelectronics field.
- Self-contained. Gives a complete introduction to classical and quantum aspects of conduction in nanometer scale devices.
- Emphasizes core principles and provides a fully self-contained treatment of the field.
- Highlights the bridge to modern electronics, first presenting the physics then the engineering complications related to quantum behaviour.
- Includes many clear illustrative diagrams and chapter problem sets.
- Showcases why quantum mechanics is necessary with modern devices due to their size and corresponding electron transport properties.
- Gives a comprehensive overview of the literature and will enable readers to conduct their own research.
Table of Contents
I. Prerequisites: Quantum Mechanics and The Electronic States in Solids. 1. Quantum Mechanics. 1.1. The two-slit experiment. 1.2. The Schroedinger Equation. 1.3. Particle in a Rectangular Quantum Box. 1.4. Heisenberg’s Uncertainty Principle. 1.5. The Pauli Principle and the Fermi Dirac Probability. 1.6. The Hydrogen atom and the atoms of the Periodic Table. 1.7. Barrier Penetration and Tunneling. 1.8. Probability Current Density. 2. Electron States in Solids. 2.1. Qualitative Description of Energy Bands in Solids. 2.2. The k-space and Bloch’s Theorem. 2.3. The LCAO method. 2.4. Quick Revision of the concept of a Hole and Doping. 2.5. Velocity of electrons in Solids. 2.6. The concept of Effective Mass. 2.7. Concentration of Carriers in Semiconductors and Metals. 2.8. The Effective Mass Equation. II. Theory Of Conduction. 3. Simple Classical Theory of Conduction. 3.1. External voltages and Fermi levels. 3.2. Collisions and drift mobility. 3.3. Mechanisms of scattering. 3.4. Recombination of carriers. 3.5 Diffusion Current. 3.6. Continuity Equations. 3.7. The ideal PN junction at equilibrium. 3.8. The ideal PN junction under bias. 3.9. The non-ideal PN junction. 3.10. The Metal-Semiconductor or Schottky junction. 4. Advanced Classical Theory of conduction. 4.1. The need for a better classical theory of conduction. 4.2. The Boltzman equation. 4.3. Solution of the Boltzman equation by the relaxation time approximation. 4.4. Application of an Electric Field. 4.5. Diffusion Currents. 4.6. General Expression for the Current Density. 4.7. The Seebeck-Thermoelectric Effect. 4.8. Saturation of drift velocity. 4.9. The Gunn Effect and velocity overshoot. 4.10. The classical Hall Effect. Chapter 5. The Quantum Theory of Conduction. 5.1. Critique of the Boltzmann Equation and Regimes of conduction. 5.2. Electronic Structure of Low-dimensional Systems. 5.3. The Landauer Formalism. 5.4. The Effective Mass Equation for Heterostructures. 5.5. Transmission Matrices and Airy Function. 5.6. The Resonant Tunneling Diode RTD. III. Devices. Chapter 6: Field Emission and Vacuum Devices. 6.1. Introduction. 6.2. The One-dimensional WKB Equation. 6.3. Field Emission from Planar Surfaces. 6.4. The Three-dimensional WKB Problem. 6.5. Field Emission from Curved Surfaces. 6.6. The Vacuum Transistor. Chapter 7. The MOSFET. 7.1. Basic Operation. 7.2. Simple Classical Theory of the MOSFET. 7.3. Advanced Classical Theory of the MOSFET. 7.4. Quantum Theory of the MOSFET. 7.5. Time-Dependent Performance and Moores’ law. 7.6. Non-Planar Si MOSFETs and the FinFET. Chapter 8. Post –Si FETs. 8.1. Introduction. 8.2. Simple Theory of the HEMT or MODFET. 8.3. Advanced theory of the HEMT. 8.4. The III-V MOSFET. 8.5. The Carbon Nanotube FET, CNTFET. Appendices. A1. Angular Momentum and Spin. A2. Lattice Vibrations. A3. Calculation of Impurity States in Semiconductors. A4. Direct and Indirect Gap Semiconductors and Optical Properties.
John P. Xanthakis obtained his PhD from the Electrical Engineering Department of Imperial College, University of London in 1980. After a period as a post-doctoral fellow at the Mathematics Department of Imperial College he obtained a lectureship at the National Technical University of Athens (NTUA) in 1985. In 1992 - 93 he spent the academic year at Imperial College on sabbatical leave. He was promoted to Professor at NTUA in 1999. He has 50+ papers in peer-reviewed journals and numerous presentations in International Conferences. He is a Senior Member of IEEE, a member of the New York Academy of Sciences and a regular reviewer in many top journals. His main interest is in nanoelectronics, in particular vacuum nanoelectronics.