Physics of Low Dimensional Systems
Contents:
At low temperatures and with high quality material, electrons can travel many microns without scattering off impurities, other electrons or phonons. Using lithographic techniques such as split gates it is thus possible to make structures through which electrons can travel without being scattered randomly, either elastically by impurities or inelastically by phonons or other electrons.
There have been many interesting developments and discoveries in this field of low-dimensional systems in the last decade. The electron wavelength is often not much smaller than the channel width, so wires may act as waveguides, supporting only a few electronic modes one-dimensional subbands.
It is possible to confine electrons or holes in a two-dimensional 2D layer a 2D electron gas, called a 2DEG, or, for holes, a 2DHG in a crystal, in such a way that they can move within that layer with minimal scattering. Such systems show quantum-mechanical properties such as the integer or fractional quantum Hall effects.
Physica E: Low-dimensional Systems and Nanostructures
Patterned gates above and below the 2DEG can be used to confine the electrons into narrow 1D or 0D regions, forming wires and dots, or to exclude electrons from a small region, forming an " antidot ". The wafer is grown by Molecular Beam Epitaxy MBE , which produces near-perfect crystalline layers of extreme purity, with nearly atomically sharp transitions between layers.
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To the left is shown the corresponding band diagram, i. The dashed line is the Fermi energy roughly defined as the highest energy that electrons can have in equilibrium.
Physica E: Low-dimensional Systems and Nanostructures
To provide the electrons, Silicon doping is included in the middle of the AlGaAs region shown in red. Investigation of Supercurrent in the Quantum Hall Regime in Graphene Josephson Junctions In this study, we examine multiple encapsulated graphene Josephson junctions to determine which mechanisms may be responsible for the supercurrent observed in the quantum Hall QH regime.
Magic angle for barrier-controlled double quantum dots Low-dimensional Systems. Magic angle for barrier-controlled double quantum dots We show that the exchange interaction of a singlet-triplet spin qubit confined in double quantum dots, when being controlled by the barrier method, is insensitive to a charged impurity lying along certain directions away from the center of the double-dot system.
An Introduction
Theoretical and Computational Physics Low-dimensional Systems. Low-dimensional Systems Other research areas. Atomic, Molecular, and Optical Physics. Soft Matter and Biophysics.
There have been many interesting developments and discoveries in this field of low-dimensional systems in the last decade. The electron wavelength is often. The course “Physics of low-dimensional systems” is fundamental and has a theoretical orientation. At the same time it is theoretical base for working out of.
This book provides an introduction to the general principles that underlie low-dimensional semiconductors. As far as possible, simple physical explanations are used, with reference to examples from actual devices. The author shows how, beginning with fundamental results from quantum mechanics and solid-state physics, a formalism can be developed that describes the properties of low-dimensional semiconductor systems.
Among numerous examples, two key systems are studied in detail: The book includes many exercises and will be invaluable to undergraduate and first-year graduate physics or electrical engineering students taking courses in low-dimensional systems or heterostructure device physics.
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Low-dimensional Systems
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