4,013 research outputs found

    (2 + 1) noncommutative gravity and conical spacetimes

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    We solve (2+1) noncommutative gravity coupled to point-like sources. We find continuity with Einstein gravity since we recover the classical gravitational field in the θ0\theta \to 0 limit or at large distance from the source. It appears a limitation on the mass which is twice than expected. Since the distance is not gauge invariant, the measure of the deficit angle near the source is intrinsically ambiguous, with the gauge group playing the role of statistical ensemble. Einstein determinism can be recovered only at large distance from the source, compared with the scale of the noncommutative parameter θ\sqrt{\theta}.Comment: 19 pages, LaTeX, no figure

    Interparticle Potential up to Next-to-leading Order for Gravitational, Electrical, and Dilatonic Forces

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    Long-range forces up to next-to-leading order are computed in the framework of the Einstein-Maxwell-dilaton system by means of a semiclassical approach to gravity. As has been recently shown, this approach is effective if one of the masses under consideration is significantly greater than all the energies involved in the system. Further, we obtain the condition for the equilibrium of charged masses in the system.Comment: 19 pages, 19 figures, RevTeX4.1. Revised version, Title change

    Quantum Scattering in Two Black Hole Moduli Space

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    We discuss the quantum scattering process in the moduli space consisting of two maximally charged dilaton black holes. The black hole moduli space geometry has different structures for arbitrary dimensions and various values of dilaton coupling. We study the quantum effects of the different moduli space geometries with scattering process. Then, it is found that there is a resonance state on certain moduli spaces.Comment: 15 pages, 19 figures, RevTeX 3.

    A level-one representation of the quantum affine superalgebra \U_q(\hat{\frak{sl}}(M+1|N+1))

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    A level-one representation of the quantum affine superalgebra \U_q(\hat{\frak{sl}}(M+1|N+1)) and vertex operators associated with the fundamental representations are constructed in terms of free bosonic fields. Character formulas of level-one irreducible highest weight modules of \U_q(\hat{\frak{sl}}(2|1)) are conjectured.Comment: AMS-TeX, 11 page

    Tunable Exchange Interaction in Quantum Dot Devices

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    We theoretically discuss the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between semiconductor quantum dots (QDs). When each QD having a local spin is coupled to the conduction electrons in semiconductors, an indirect exchange interaction, i.e., the RKKY interaction, is induced between two local spins. The RKKY interaction between QDs, which is mediated by the Fermi sea in semiconductors, is modulated by changing the Fermi energy, and the magnitude or even the sign of the exchange interaction can be tuned, which leads to a tunable magnetic transition in QD devices. We estimate the magnitude of the RKKY interaction in QDs as a function of the electron density and the inter-dot distance

    Surface Shubnikov-de Hass oscillations and non-zero Berry phases of the topological hole conduction in Tl1x_{1-x}Bi1+x_{1+x}Se2_2

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    We report the observation of two-dimensional Shubnikov-de Hass (SdH) oscillations in the topological insulator Tl1x_{1-x}Bi1+x_{1+x}Se2_2. Hall effect measurements exhibited electron-hole inversion in samples with bulk insulating properties. The SdH oscillations accompanying the hole conduction yielded a large surface carrier density of ns=5.1×1012n_{\rm{s}}=5.1 \times10^{12}/cm2^2, with the Landau-level fan diagram exhibiting the π\pi Berry phase. These results showed the electron-hole reversibility around the in-gap Dirac point and the hole conduction on the surface Dirac cone without involving the bulk metallic conduction.Comment: 5 pages, 4 figure
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