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Shklovskij V.A.,Institute of Theoretical Physics | Shklovskij V.A.,University of Kharkiv | Dobrovolskiy O.V.,Goethe University Frankfurt
Physical Review B - Condensed Matter and Materials Physics | Year: 2011

The influence of an ac current of arbitrary amplitude and frequency on the mixed-state dc-voltage-ac-drive ratchet response of a superconducting film with a dc current-tilted uniaxial cosine pinning potential at finite temperature is theoretically investigated. The results are obtained in the single-vortex approximation, i.e., for noninteracting vortices, within the frame of an exact solution of the appropriate Langevin equation in terms of a matrix continued fraction. Formulas for the dc voltage ratchet response and absorbed power in ac response are discussed as functions of ac current amplitude and frequency as well as dc current induced tilt in a wide range of corresponding dimensionless parameters. Special attention is paid to the physical interpretation of the obtained results in adiabatic and high-frequency ratchet responses taking into account both running and localized states of the (ac+dc)-driven vortex motion in a washboard pinning potential. Our theoretical results are discussed in comparison with recent experimental work on the high-frequency ratchet response in nanostructured superconducting films. © 2011 American Physical Society.

Pickl P.,Institute of Theoretical Physics
Journal of Statistical Physics | Year: 2010

Using a new method (Pickl in A simple derivation of mean field limits for quantum systems, 2010) it is possible to derive mean field equations from the microscopic N body Schrödinger evolution of interacting particles without using BBGKY hierarchies. In this paper we wish to analyze scalings which lead to the Gross-Pitaevskii equation which is usually derived assuming positivity of the interaction (Erdös et al. in Commun. Pure Appl. Math. 59(12):1659-1741, 2006; Invent. Math. 167:515-614, 2007). The new method for dealing with mean field limits presented in Pickl (2010) allows us to relax this condition. The price we have to pay for this relaxation is however that we have to restrict the scaling behavior of the interaction and that we have to assume fast convergence of the reduced one particle marginal density matrix of the initial wave function μΨ0 to a pure state {pipe}φ0〉〈φ0{pipe}. © 2010 Springer Science+Business Media, LLC.

Matveev V.S.,Friedrich - Schiller University of Jena | Trautman A.,Institute of Theoretical Physics
Communications in Mathematical Physics | Year: 2014

In a space-time M, a conformal structure is defined by the distribution of light-cones. Geodesics are traced by freely falling particles, and the collection of all unparameterized geodesics determines the projective structure of M. The article contains a formulation of the necessary and sufficient conditions for these structures to be compatible, i.e. to come from a metric tensor which is then unique up to a constant factor. The theorem applies to all dimensions and signatures. © 2013 The Author(s).

Pokorski S.,Institute of Theoretical Physics
Annalen der Physik | Year: 2016

The state of supersymmetry after RUN I of the LHC is discussed. Several scenarios with signatures of supersymmetry more hidden than it is suggested by the simplest models are reviewed. There are many good reasons to favor supersymmetry as an extension of the Standard Model. But it may be more hidden than often expected and one should pursue experimental search for it, keeping in mind several different scenarios. © 2015 by WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

A single organic molecule with a molybdenum atom in its center acts as a switch. In electronics, nothing works without transistors: they are the fundamental building blocks on which the logic circuits in our computer chips are based. They usually consist of silicon crystals, doped with other types of atom. One Swiss/Austrian research team (TU Wien, the University of Vienna, the University of Zurich, IBM Zurich) has now succeeded in developing a transistor that functions in a fundamentally different manner and consists solely of a single molecule. Instead of three electrodes, as in a conventional transistor, this switch molecule only requires two. The new nanoswitch has now been presented in the specialist journal Nature Nanotechnology. Zero or one "The key feature of a transistor is that it can assume two different states," explains Robert Stadler from the Institute of Theoretical Physics at TU Wien (at the start of the project he was still working at the Department of Physical Chemistry at the University of Vienna). Depending on which state the transistor is in, it either allows current to flow or not. A conventional transistor made of silicon crystals therefore has three contacts: the current is supplied by one of these, and is able to flow into the second one; whether this actually happens or not depends on the voltage applied at the third contact, which is known as the 'gate contact'. In order to accommodate ever more transistors in an ever smaller area, transistors have continued to reduce in size over the last few decades. This has drastically improved efficiency in electronics, but does, however, bring with it ever greater technical problems. With conventional silicon technology, physical limitations are encountered as a result. "With extremely small crystals you no longer have sufficient control over the electronic properties, particularly if only a small number of dopants remains and the gate's insulating layer allows increasingly more leakage," explains Stadler. "However, if you switch from crystals to organic molecules at the nanoscale, you then have new opportunities to change the transport characteristics." At the University of Zurich, chemists have therefore synthesised organometallic molecular structures endowed with individual metal atoms of iron, ruthenium or molybdenum. These designer molecules, which are only around two and a half nanometres long, are then carefully connected using two gold contacts at the IBM research lab in Rüschlikon before voltage can be applied to them. For one of the molecule types tested, which has a molybdenum atom placed at its core, some quite remarkable properties were observed: similarly to a silicon transistor, this molecule switches back and forth between two different states, which differ by three orders of magnitude as regards their conductivity. Complex computer simulations were required in order to understand the underlying process; these were carried out by Robert Stadler and his doctoral student Georg Kastlunger at the Vienna Scientific Cluster (VSC). This allowed the mechanism to be decoded at a quantum physical level. "Directly on the molybdenum atom there is a certain space which can be occupied by an electron," says Robert Stadler. "The amount of current that can flow through the molecule at a certain voltage depends on whether or not there is actually an electron occupying this space or not." And this in itself can be controlled. If the space is occupied, relatively little current will flow at a low voltage. At a higher voltage, however, the electron can be dislodged from its special place on the molybdenum atom. As a result, the system switches to a new state with conductivity improved by a factor of around a thousand, causing a sharp increase in the current flow. Both a switching and selection process can therefore be carried out via the two gold contacts, between which the molecule is fixed. A third electrode, as is usually required for a conventional transistor, is no longer necessary, which simplifies the wiring process significantly. Technology for the chips of the future The technology itself, however, is still too expensive to put into mass production for commercial computer chips. This is why the experiments were carried out at low temperatures and in an ultra-high vacuum. However, IBM are already working on designs to incorporate several of these molecules in nanopores on a silicon chip, so that they function under normal environmental conditions at room temperature. "This would be simpler and our theoretical methods would undoubtedly be suited to such systems, too," states Stadler with confidence. "Perhaps organic molecules with integrated metal atoms can lead the way to ultra-small switches for new storage systems; in any case, there is the potential for exciting applications, particularly since the omission of the third electrode allows for unrivalled integration densities." Explore further: New design reduces the areal footprint of nanowire transistors by a factor of two More information: Florian Schwarz et al. Field-induced conductance switching by charge-state alternation in organometallic single-molecule junctions, Nature Nanotechnology (2015). DOI: 10.1038/nnano.2015.255

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