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This thesis develops novel numerical techniques for simulating quantum transport in the time domain and applies them to pertinent physical systems such as flying qubits in electronic interferometers and superconductor/semiconductor junctions hosting Majorana bound states (the key ingredient for topological quantum computing). In addition to exploring the rich new physics brought about by time dependence, the thesis also develops software that can be used to simulate nanoelectronic systems with arbitrary geometry and time dependence, offering a veritable toolbox for exploring this rapidly growing domain.
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Designing complex integrated circuits relies heavily on mathematical methods and calls for suitable simulation and optimization tools. The current design approach involves simulations and optimizations in different physical domains (device, circuit, thermal, electromagnetic) and in a range of electrical engineering disciplines (logic, timing, power, crosstalk, signal integrity, system functionality). COMSON was a Marie Curie Research Training Network created to meet these new scientific and training challenges by (a) developing new descriptive models that take these mutual dependencies into account, (b) combining these models with existing circuit descriptions in new simulation strategies and (c) developing new optimization techniques that will accommodate new designs. The book presents the main project results in the fields of PDAE modeling and simulation, model order reduction techniques and optimization, based on merging the know-how of three major European semiconductor companies with the combined expertise of university groups specialized in developing suitable mathematical models, numerical schemes and e-learning facilities. In addition, a common Demonstrator Platform for testing mathematical methods and approaches was created to assess whether they are capable of addressing the industry’s problems, and to educate young researchers by providing hands-on experience with state-of-the-art problems.
The technological means now exists for approaching the fundamentallimiting scales of solid state electronics in which a single carrier can, in principle, represent a single bit in an information flow. In this light, the prospect of chemically, or biologically, engineered molccular-scale structures which might support information processing functions has enticed workers for many years. The one common factor in all suggested molecular switches, ranging from the experimentally feasible proton-tunneling structure, to natural systems such as the micro-tubule, is that each proposed structure deals with individual information carrying entities. Whereas this future molecular electronics faces enormous technical challenges, the same Iimit is already appearing in existing semiconducting quantum wires and small tunneling structures, both superconducting and normal meta! devices, in which the motion of a single eh arge through the tunneling barrier can produce a sufficient voltage change to cut-off further tunneling current. We may compare the above situation with today's Si microelectronics, where each bit is encoded as a very !arge number, not necessarily fixed, of electrons within acharge pulse. The associated reservoirs and sinks of charge carriers may be profitably tapped and manipulated to proviele macro-currents which can be readily amplified or curtailed. On the other band, modern semiconductor ULSI has progressed by adopting a linear scaling principle to the down-sizing of individual semiconductor devices.
Providing cutting-edge research on nanoelectronics and photonic devices and its application in future integrated circuits, this state-of-the-art book tackles the challenges of the different detailed theoretical and analytical models of solving the problems of various nanodevices. The volume also explores from different angles the roles of material composition and choice of materials that now play the most critical role in determining outcomes of low-dimensional nanoelectronic devices. The applications of those findings are extremely beneficial for the computing and telecommunication industries. Beginning with a solid theoretical background for every chapter, this volume covers the hottest areas of present-day electronic engineering. The continuous miniaturization of devices, components, and systems requires corresponding cutting-edge theoretical analysis supported by simulated findings before actual fabrication. That purpose is given maximum focus in this volume, which has interdisciplinary appeal, making it a comprehensive technological volume that deals with underlying aspects of physics, materials, structures in nano-regime, and the corresponding end-product in the form of devices.
A tutorial coverage of electronic technology, starting from the basics of condensed matter and quantum physics. Experienced author Ed Wolf presents established and novel devices like Field Effect and Single Electron Transistors, and leads the reader up to applications in data storage, quantum computing, and energy harvesting. Intended to be self-contained for students with two years of calculus-based college physics, with corresponding fundamental knowledge in mathematics, computing and chemistry.
Most textbooks explain quantum mechanics as a story where each step follows naturally from the one preceding it. However, the development of quantum mechanics was exactly the opposite. It was a zigzagging route full of personal disputes where scientists were forced to abandon well-established classical concepts and to explore new and imaginative routes. This book demonstrates the huge practical utility of another of these routes in explaining quantum phenomena in various research fields. Bohmian mechanics—the formulation of the quantum theory pioneered by Louis de Broglie and David Bohm—offers an alternative mathematical formulation of quantum phenomena in terms of quantum trajectories. It sheds light on the limits and extensions of our present understanding of quantum mechanics toward other paradigms, such as relativity or cosmology.
Quantum is rapidly emerging as a game-changer in technology. The end of Moore's Law for exponential growth is rapidly approaching and engineers and physicist alike are looking at moving past the classical limitations of modern technology and are exploring the new opportunities that quantum behaviour creates in sensing, metrology, communications and information processing. This book serves as introduction to quantum theory with emphasis on dynamical behaviour and applications of quantum mechanics, with minimal discussion of formalism. The goal is to help students begin to learn the tools for a quantum toolbox they will need to work in this area. It is aimed at upper level undergraduates and first year graduate students and assumes the reader has not had any training in quantum mechanics beyond what might be encountered in two semesters of introductory physics. The language of quantum is mathematics and builds on what is covered in typically the first two years. The first six chapters introduce Schrödinger's equation and develop the quantized description of common systems that exist in real space like a vibrator, nano-particles, atoms, crystals, etc. Beginning in Ch. 7 and for the remaining nine chapters, the focus is primarily on dynamical behaviour and how to think about real quantum systems. Spin, the quantized electromagnetic field, dissipation, loss and spontaneous emission, are discussed as well as quantum optics and the operator equations for common two-state systems such as the quantum flip flop and the density matrix equations. The book is structured so that a two semester course sequence is possible or a single semester course with options discussed in the preface to set different learning objectives. Even a one semester course based on this text covers much more material than a typical upper quantum course for undergraduates in physics, but at the expense of more detailed discussions about solutions to various differential equations such as for angular momentum and the hydrogen atom or band theory for semiconductors.
Nanoelectronics is one of the most important technologies of nanotechnology. It plays vital role in the field of engineering and electronics. Nanoelectronics make use of scientific techniques at atomic scale for developing the nano machines. The main target is to reduce the size, risk factor and surface areas of the materials and molecules. Machines under nanoelectronic process under goes the long range of manufacturing steps each with accurate molecular treatment. Semiconductor electronics have seen a sustained exponential reduce in size and cost and a similar augment in performance and level of integration over the last thirty years. The Silicon Roadmap is laid out for the next ten years. After that, either economical or physical barriers will pose a huge challenge. The former is connected to the difficulty of making a profit in view of the exorbitant costs of building the necessary manufacturing capabilities, if present day technologies are extrapolated. The latter is a direct consequence of the shrinking device size, leading to physical phenomena impeding the operation of current devices. The transistor is the building block to a modern processor. The current silicon designed transistors are going to hit their physical limit- not merely the actualization of Moore's law but also the problems with heat dissipation, wire connections and the materials we use to create them. Hence nanotechnology helps us to look at new ways information processing at a better speed and measure. A promising alternative to the imminent challenges from the CMOS based computing is to focus on other alternatives of nano scale precision. Chemically Assembled Electronic Nanotechnology (CAEN) is a promising technology, which uses self-alignment to construct electronic circuits from nano scale devices that take advantage of quantum mechanical effects. This book is intended as an introduction to the field of nanotechnology for nanoelectronics vendors, researchers and students who want to start thinking about the potential opportunities afforded by these emerging scientific developments.