Dimer states in atomic mixtures

A mixture of heavy atoms in a Mott state and light spin-1/2 fermionic atoms is studied in an optical lattice. Inelastic scattering processes between both atomic species excite the heavy atoms and renormalize the tunneling rate as well as the interaction of the light atoms. An effective Hamiltonian for the latter is derived that describes tunneling of single fermions, tunneling of fermionic pairs and an exchange of fermionic spins. Low energy states of this Hamiltonian are a N\'eel state for strong effective repulsion, dimer states for moderate interaction, and a density wave of paired fermions for strong effective attraction.Comment: 10 pages, 3 figure, extended versio

A renormalized Gross-Pitaevskii Theory and vortices in a strongly interacting Bose gas

We consider a strongly interacting Bose-Einstein condensate in a spherical harmonic trap. The system is treated by applying a slave-boson representation for hard-core bosons. A renormalized Gross-Pitaevskii theory is derived for the condensate wave function that describes the dilute regime (like the conventional Gross-Pitaevskii theory) as well as the dense regime. We calculate the condensate density of a rotating condensate for both the vortex-free condensate and the condensate with a single vortex and determine the critical angular velocity for the formation of a stable vortex in a rotating trap.Comment: 13 pages, 5 figures; revision and extension, figure 2 adde

The Research Data Centre of the Centre for European Economic Research (ZEW-FDZ)

Das Zentrum für Europäische Wirtschaftsforschung (ZEW) in Mannheim stellt eine Reihe seiner Forschungsdatensätze externen Wissenschaftlern zur Verfügung. Das ZEW folgt damit den Empfehlungen der „Kommission zur Verbesserung der informationellen Infrastruktur zwischen Wissenschaft und Statistik“ und unterstützt so die Weiterentwicklung der empirischen Wirtschafts- und Sozialforschung. Im November 2012 ist das ZEW-FDZ vom Rat für Sozial und Wirtschaftsdaten (RatSWD) akkreditiert worden. Bei den im ZEW-FDZ angebotenen ZEW Forschungsdaten handelt es sich um Mikrodaten von ZEW Unternehmensbefragungen, ZEW Expertenbefragungen oder ZEW Personenbefragungen. Die Daten einiger ZEW-Befragungen werden externen Wissenschaftlern in einer faktisch anonymisierten Form als Scientific-Use-Files zur Verfügung gestellt. Neben der Nutzung der Scientific-Use-Files können externe Forscher einen Antrag auf Nutzung von formal anonymisierten ZEW-Daten stellen, mit denen sie in den FDZ-Räumen des ZEW arbeiten dürfen. Formal anonymisiert bedeutet, dass die Datensätze weder Namen noch Adressen, aber ansonsten alle Originalangaben der Befragten enthalten. Die formal anonymisierten Daten befinden sich dazu auf einem Stand-alone-Rechner ohne Netzwerkanbindung, von dem keine Daten heruntergeladen werden können. Für das Mannheimer Innovationspanel (MIP) wurden zudem absolut anonymisierte Education-Use-Files für die Nutzung in der Lehre erstellt. Das ZEW-FDZ schließt an die bisherige Praxis des ZEW an, eigene Erhebungsdaten an externe Wissenschaftler weiterzugeben. Vor dem Start des ZEW-FDZ im Januar 2013, stellte das ZEW etwa 280 Wissenschaftlern vom ZEW erhobene Forschungsdaten zur Verfügung; die meisten sind Nutzer des Mannheimer Innovationspanels (250). Das ZEW wird sein Datenangebot für externe Wissenschaftler laufend erweitern. Dies gilt auch für Daten zukünftiger Erhebunge

Cosmogenic activation of Germanium and its reduction for low background experiments

Production of $^{60}$Co and $^{68}$Ge from stable isotopes of Germanium by nuclear active component of cosmic rays is a principal background source for a new generation of $^{76}$Ge double beta decay experiments like GERDA and Majorana. The biggest amount of cosmogenic activity is expected to be produced during transportation of either enriched material or already grown crystal. In this letter properties and feasibility of a movable iron shield are discussed. Activation reduction factor of about 10 is predicted by simulations with SHIELD code for a simple cylindrical configuration. It is sufficient for GERDA Phase II background requirements. Possibility of further increase of reduction factor and physical limitations are considered. Importance of activation reduction during Germanium purification and detector manufacturing is emphasized.Comment: 10 pages, 3 tables, 6 figure

Conductivity in Two-Dimensional Disordered Model with Anisotropic Long-Range Hopping

We consider two-dimensional system of particles localized on randomly distributed sites of squared lattice with anisotropic transfer matrix elements between localized sites. By summing of "diffusion ladder" and "cooperon ladder" type vertices we calculated the conductivity for various sites and particles densities.Comment: Latex, 10 page

Scaling near random criticality in two-dimensional Dirac fermions

Recently the existence of a random critical line in two dimensional Dirac fermions is confirmed. In this paper, we focus on its scaling properties, especially in the critical region. We treat Dirac fermions in two dimensions with two types of randomness, a random site (RS) model and a random hopping (RH) model. The RS model belongs to the usual orthogonal class and all states are localized. For the RH model, there is an additional symmetry expressed by ${\{}{\cal H},{\gamma}{\}}=0$. Therefore, although all non-zero energy states localize, the localization length diverges at the zero energy. In the weak localization region, the generalized Ohm's law in fractional dimensions, $d^{*}(<2)$, has been observed for the RH model.Comment: RevTeX with 4 postscript figures, To appear in Physical Review

The inverse cascade and nonlinear alpha-effect in simulations of isotropic helical hydromagnetic turbulence

A numerical model of isotropic homogeneous turbulence with helical forcing is investigated. The resulting flow, which is essentially the prototype of the alpha^2 dynamo of mean-field dynamo theory, produces strong dynamo action with an additional large scale field on the scale of the box (at wavenumber k=1; forcing is at k=5). This large scale field is nearly force-free and exceeds the equipartition value. As the magnetic Reynolds number R_m increases, the saturation field strength and the growth rate of the dynamo increase. However, the time it takes to built up the large scale field from equipartition to its final super-equipartition value increases with magnetic Reynolds number. The large scale field generation can be identified as being due to nonlocal interactions originating from the forcing scale, which is characteristic of the alpha-effect. Both alpha and turbulent magnetic diffusivity eta_t are determined simultaneously using numerical experiments where the mean-field is modified artificially. Both quantities are quenched in a R_m-dependent fashion. The evolution of the energy of the mean field matches that predicted by an alpha^2 dynamo model with similar alpha and eta_t quenchings. For this model an analytic solution is given which matches the results of the simulations. The simulations are numerically robust in that the shape of the spectrum at large scales is unchanged when changing the resolution from 30^3 to 120^3 meshpoints, or when increasing the magnetic Prandtl number (viscosity/magnetic diffusivity) from 1 to 100. Increasing the forcing wavenumber to 30 (i.e. increasing the scale separation) makes the inverse cascade effect more pronounced, although it remains otherwise qualitatively unchanged.Comment: 21 pages, 26 figures, ApJ (accepted

Optical Properties of Strained Graphene

The optical conductivity of graphene strained uniaxially is studied within the Kubo-Greenwood formalism. Focusing on inter-band absorption, we analyze and quantify the breakdown of universal transparency in the visible region of the spectrum, and analytically characterize the transparency as a function of strain and polarization. Measuring transmittance as a function of incident polarization directly reflects the magnitude and direction of strain. Moreover, direction-dependent selection rules permit identification of the lattice orientation by monitoring the van-Hove transitions. These photoelastic effects in graphene can be explored towards atomically thin, broadband optical elements