Exactly solvable model of three interacting particles in an external magnetic field

The quantum mechanical problem of three identical particles, moving in a plane and interacting pairwise via a spring potential, is solved exactly in the presence of a magnetic field. Calculations of the pair--correlation function, mean distance and the cluster area show a quantization of these parameters. Especially the pair-correlation function exhibits a certain number of maxima given by a quantum number. We obtain Jastrow pre-factors which lead to an exchange correlation hole of liquid type, even in the presence of the attractive interaction between the identical electrons.Comment: 8 pages 3 figure

Transition from Townsend to glow discharge: subcritical, mixed or supercritical

The full parameter space of the transition from Townsend to glow discharge is investigated numerically in one space dimension in the classical model: with electrons and positive ions drifting in the local electric field, impact ionization by electrons ($\alpha$ process), secondary electron emission from the cathode ($\gamma$ process) and space charge effects. We also perform a systematic analytical small current expansion about the Townsend limit up to third order in the total current that fits our numerical data very well. Depending on $\gamma$ and system size pd, the transition from Townsend to glow discharge can show the textbook subcritical behavior, but for smaller values of pd, we also find supercritical or some intermediate ``mixed'' behavior. The analysis in particular lays the basis for understanding the complex spatio-temporal patterns in planar barrier discharge systems.Comment: 12 pages, 10 figures, submitted to Phys. Rev.

Single electron transistors: Modeling and fabrication

Traditional conduction models for metal island films on insulating substrates are based on electrostatically activated tunneling, but underestimate actual conductances by orders of magnitude. A modified model has made significant headway with this problem, as demonstrated by simulations. The simplest discontinuous "film" is the single island coulomb block, which forms the basis of the single-electron transistor (SET). Room temperature SETs employ chains of islands, i.e. 1-D discontinuous films. The conventional numerical SET model is extended by application of the discontinuous thin film (DTF) work. Practical applications of discontinuous films are impeded by the difficulty of fabricating reproducible, stable structures, particularly for low TCR films which are the most susceptible to drift. Similar difficulties are experienced with SET islands, and a technique to manufacture stable and reproducible DTFs and SETs is described

Physikalische Technologie. Beschichtungsverfahren fuer 'Single Electron Tunneling' (SET) - Technologien (BESET) Abschlussbericht

SIGLEAvailable from TIB Hannover: F01B389+a / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekBundesministerium fuer Bildung, Wissenschaft, Forschung und Technologie, Bonn (Germany)DEGerman