After successful completion of the course, students are able to...
quantum mechanically describe electrons, to summarise the most important properties, equations and models of semiconductors, to explain phonons, to explicate one-dimensional electron systems as well as to discuss zero-dimensional electron systems.
Quantum mechanics Fundamentals Electrons in one-dimensional potentials Eigenstates, transmission coefficients Periodic potentials (Kronig Penny Model) Numerical methods for solving the Schrödinger equation Transfer Hamiltonian Formalism and Fermis golden rule Semiconductors and crystals Grating types Miller Indices X-ray diffraction Defects in semiconductors Band structures of the main semiconductors Effective masses Blochteorem Fundamentals of kp theory Cyclotron resonance Semiconductor statistics: State densities of occupation numbers in bands, intrinsic and doped half-worker transport in semiconductors: Semiconductor equations Boltzmann equation Relaxation time approximation, scattering mechanisms and mobility Phonons (quantum mechanical description, 3D magnetophone effects)) Galvanomagnetic properties (Hall effect). Heterostructures & two-dimensional electron gases: energy states in 2D electron gas, self-consistency magnetic field quantization Shubnikov de-Haas effect 8determination of 2D electron density) quantum Hall effect, other 2-D effects. One-dimensional electron systems : fabrication of quantum wires Classical effects in quantum wires (magnetosize effects) Quantum mechanical effects in quantum wires (magnetic depopulation, magnetophonons) Ballistic transport in quantum wires Null-dimensional electron systems : Lateral transport through quantum dots Vertical transport through quantum dots Coulomb blockade and single electron transistors Electron pumps as current standard, and NEW: a little bit of quantum computing.
Based on the corresponding script the chapters are explained and afterwards case studies are discussed. The schript is free of charge-
Oral exam at the end of the semester or further along the line on appointment. Estimated duration: 15 minutes
Jasprit Singh : Electronic and Optoelectronic Properties of Semiconductor Structures, Cambridge University Press 2003, and
Umesh K. Mishra, Jasprith Singh, Semiconductor Device Physics and Design (Springer 2007) ISBN-10: 1402064802, ISBN-13: 978-1402064807
Major parts of the lecture were taken ftom these books.
Basic knowledge in semiconductor physics.