2,534 research outputs found

    Law and Order on the Wild, Wild West (WWW)

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    Hamiltonian Formalism of the de-Sitter Invariant Special Relativity

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    Lagrangian of the Einstein's special relativity with universal parameter cc (SRc\mathcal{SR}_c) is invariant under Poincar\'e transformation which preserves Lorentz metric ημν\eta_{\mu\nu}. The SRc\mathcal{SR}_c has been extended to be one which is invariant under de Sitter transformation that preserves so called Beltrami metric BμνB_{\mu\nu}. There are two universal parameters cc and RR in this Special Relativity (denote it as SRcR\mathcal{SR}_{cR}). The Lagrangian-Hamiltonian formulism of SRcR\mathcal{SR}_{cR} is formulated in this paper. The canonic energy, canonic momenta, and 10 Noether charges corresponding to the space-time's de Sitter symmetry are derived. The canonical quantization of the mechanics for SRcR\mathcal{SR}_{cR}-free particle is performed. The physics related to it is discussed.Comment: 24 pages, no figur

    Hall carrier density and magnetoresistance measurements in thin film vanadium dioxide across the metal-insulator transition

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    Temperature dependent magneto-transport measurements in magnetic fields of up to 12 Tesla were performed on thin film vanadium dioxide (VO2) across the metal-insulator transition (MIT). The Hall carrier density increases by 4 orders of magnitude at the MIT and accounts almost entirely for the resistance change. The Hall mobility varies little across the MIT and remains low, ~0.1cm2/V sec. Electrons are found to be the major carriers on both sides of the MIT. Small positive magnetoresistance in the semiconducting phase is measured

    Effect of polycrystallinity on the optical properties of highly oriented ZnO grown by pulsed laser deposition

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    We report the results of photoluminescence and reflectance measurements on highly c-axis oriented polycrystalline ZnO grown by pulsed laser deposition. The samples measured were grown under identical conditions and were annealed in-situ at various temperatures for 10-15 min. The band-edge photoluminescence spectra of the material altered considerably with an increase in grain size, with increased free exciton emission and observable excitonic structure in the reflectance spectra. The green band emission also increased with increasing grain size. A deformation potential analysis of the effect of strain on the exciton energy positions of the A- and B-excitons demonstrated that the experimental exciton energies could not be explained solely in terms of sample strain. We propose that electric fields in the samples due to charge trapping at grain boundaries are responsible for the additional perturbation of the excitons. This interpretation is supported by theoretical estimates of the exciton energy perturbation due to electric fields. The behaviour of the green band in the samples provides additional evidence in favour of our model

    Ratchet Cellular Automata

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    In this work we propose a ratchet effect which provides a general means of performing clocked logic operations on discrete particles, such as single electrons or vortices. The states are propagated through the device by the use of an applied AC drive. We numerically demonstrate that a complete logic architecture is realizable using this ratchet. We consider specific nanostructured superconducting geometries using superconducting materials under an applied magnetic field, with the positions of the individual vortices in samples acting as the logic states. These devices can be used as the building blocks for an alternative microelectronic architecture.Comment: 4 pages, 3 figure
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