1,472 research outputs found

    Understanding the Random Displacement Model: From Ground-State Properties to Localization

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    We give a detailed survey of results obtained in the most recent half decade which led to a deeper understanding of the random displacement model, a model of a random Schr\"odinger operator which describes the quantum mechanics of an electron in a structurally disordered medium. These results started by identifying configurations which characterize minimal energy, then led to Lifshitz tail bounds on the integrated density of states as well as a Wegner estimate near the spectral minimum, which ultimately resulted in a proof of spectral and dynamical localization at low energy for the multi-dimensional random displacement model.Comment: 31 pages, 7 figures, final version, to appear in Proceedings of "Spectral Days 2010", Santiago, Chile, September 20-24, 201

    Half-life and spin of 60Mn^g

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    A value of 0.28 +/- 0.02 s has been deduced for the half-life of the ground state of 60Mn, in sharp contrast to the previously adopted value of 51 +/- 6 s. Access to the low-spin 60Mn ground state was accomplished via beta decay of the 0+ 60Cr parent nuclide. New, low-energy states in 60Mn have been identified from beta-delayed gamma-ray spectroscopy. The new, shorter half-life of 60Mn^g is not suggestive of isospin forbidden beta decay, and new spin and parity assignments of 1+ and 4+ have been adopted for the ground and isomeric beta-decaying states, respectively, of 60Mn.Comment: 13 pages, 5 figures, Accepted for publication in Phys. Rev.

    Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method

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    A technically convenient signature of Anderson localization is exponential decay of the fractional moments of the Green function within appropriate energy ranges. We consider a random Hamiltonian on a lattice whose randomness is generated by the sign-indefinite single-site potential, which is however sign-definite at the boundary of its support. For this class of Anderson operators we establish a finite-volume criterion which implies that above mentioned the fractional moment decay property holds. This constructive criterion is satisfied at typical perturbative regimes, e. g. at spectral boundaries which satisfy 'Lifshitz tail estimates' on the density of states and for sufficiently strong disorder. We also show how the fractional moment method facilitates the proof of exponential (spectral) localization for such random potentials.Comment: 29 pages, 1 figure, to appear in AH

    Beta-delayed proton emission in the 100Sn region

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    Beta-delayed proton emission from nuclides in the neighborhood of 100Sn was studied at the National Superconducting Cyclotron Laboratory. The nuclei were produced by fragmentation of a 120 MeV/nucleon 112Sn primary beam on a Be target. Beam purification was provided by the A1900 Fragment Separator and the Radio Frequency Fragment Separator. The fragments of interest were identified and their decay was studied with the NSCL Beta Counting System (BCS) in conjunction with the Segmented Germanium Array (SeGA). The nuclei 96Cd, 98Ing, 98Inm and 99In were identified as beta-delayed proton emitters, with branching ratios bp = 5.5(40)%, 5.5+3 -2%, 19(2)% and 0.9(4)%, respectively. The bp for 89Ru, 91,92Rh, 93Pd and 95Ag were deduced for the first time with bp = 3+1.9 -1.7%, 1.3(5)%, 1.9(1)%, 7.5(5)% and 2.5(3)%, respectively. The bp = 22(1)% for 101Sn was deduced with higher precision than previously reported. The impact of the newly measured bp values on the composition of the type-I X-ray burst ashes was studied.Comment: 15 pages, 14 Figures, 4 Table

    The Nandewar Volcano

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    The Miocene Nandewar Volcano in north-eastern New South Wales is composed of a suite of transitional alkaline eruptives and minor associated intrusives. The volcanics include minor hawaiites but are dominated by a mildly potassic lineage extending from hy-normative trachyandesites to comendites via tristanites and mafic to peralkaline trachytes. Although the trachyandesites, tristanites and trachytes (the main shield-forming sequence) are collectively the most abundant volcanics, alkali rhyolites comprise the most voluminous 'evolved' eruptive type. Peralkaline trachytes and comendites are relatively insignificant volumetrically. Olivine, Ca-rich pyroxene and amphibole display marked decreases in their 100 Mg/(Mg+Fe) ratios in the transition from trachyandesite to comendite, reflecting variation in host-rock compositions. The presence of tschermakitic Ca-rich pyroxenes and aluminian bronzite megacrysts in several trachyandesites indicates that their hosts experienced intratelluric crystallization at elevated pressures (~6 to 8 kb). Some plagioclase, olivine and titanomagnetite phenocrysts may also represent moderate-pressure cognate precipitates. Groundmass pyroxenes in some trachytes and comendites may be strongly acmitic, and this reflects the peralkaline character of those melts. Titanomagnetite is the dominant Fe-Ti oxide phase throughout the series, and only occasionally does it coexist with ilmenite. Fe-Ti oxide compositional data indicate that magmas spanning the spectrum trachyandesite to comendite generally crystallized under conditions of decreasing T and Ć’oâ‚‚ which were broadly parallel with the FMQ synthetic buffer curve. However, some alkali rhyolites appear to have crystallized under significantly more oxidizing conditions. Crystallization of aenigmatite in the groundmass of peralkaline trachytes and comendites also reflects relatively strongly reducing conditions in the more 'evolved' variants and ns-bearing melts. In several specimens the presence of aenigmatite rimming titanomagnetite and ilmenite microphenocrysts provides some support for the existence of a 'no-oxide' field in T-Ć’oâ‚‚ space

    Evidence for a change in the nuclear mass surface with the discovery of the most neutron-rich nuclei with 17<Z <25

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    The results of measurements of the production of neutron-rich nuclei by the fragmentation of a 76-Ge beam are presented. The cross sections were measured for a large range of nuclei including fifteen new isotopes that are the most neutron-rich nuclides of the elements chlorine to manganese (50-Cl, 53-Ar, 55,56-K, 57,58-Ca, 59,60,61-Sc, 62,63-Ti, 65,66-V, 68-Cr, 70-Mn). The enhanced cross sections of several new nuclei relative to a simple thermal evaporation framework, previously shown to describe similar production cross sections, indicates that nuclei in the region around 62-Ti might be more stable than predicted by current mass models and could be an indication of a new island of inversion similar to that centered on 31-Na.Comment: 4 pages, 3 figures, to be published in Physical Review Letters, 200

    Low lying spectrum of weak-disorder quantum waveguides

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    We study the low-lying spectrum of the Dirichlet Laplace operator on a randomly wiggled strip. More precisely, our results are formulated in terms of the eigenvalues of finite segment approximations of the infinite waveguide. Under appropriate weak-disorder assumptions we obtain deterministic and probabilistic bounds on the position of the lowest eigenvalue. A Combes-Thomas argument allows us to obtain so-called 'initial length scale decay estimates' at they are used in the proof of spectral localization using the multiscale analysis.Comment: Accepted for publication in Journal of Statistical Physics http://www.springerlink.com/content/0022-471
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