@article{15862, author = {{Wiebeler, Christian and Schumacher, Stefan}}, issn = {{1089-5639}}, journal = {{The Journal of Physical Chemistry A}}, pages = {{7816--7823}}, title = {{{Quantum Yields and Reaction Times of Photochromic Diarylethenes: Nonadiabatic Ab Initio Molecular Dynamics for Normal- and Inverse-Type}}}, doi = {{10.1021/jp506316w}}, year = {{2014}}, } @inbook{18471, abstract = {{Collective spin excitations form a fundamental class of excitations in magnetic materials. As their energy reaches down to only a few meV, they are present at all temperatures and substantially influence the properties of magnetic systems. To study the spin excitations in solids from first principles, we have developed a computational scheme based on many-body perturbation theory within the full-potential linearized augmented plane-wave (FLAPW) method. The main quantity of interest is the dynamical transverse spin susceptibility or magnetic response function, from which magnetic excitations, including single-particle spin-flip Stoner excitations and collective spin-wave modes as well as their lifetimes, can be obtained. In order to describe spin waves we include appropriate vertex corrections in the form of a multiple-scattering T matrix, which describes the coupling of electrons and holes with different spins. The electron–hole interaction incorporates the screening of the many-body system within the random-phase approximation. To reduce the numerical cost in evaluating the four-point T matrix, we exploit a transformation to maximally localized Wannier functions that takes advantage of the short spatial range of electronic correlation in the partially filled d or f orbitals of magnetic materials. The theory and the implementation are discussed in detail. In particular, we show how the magnetic response function can be evaluated for arbitrary k points. This enables the calculation of smooth dispersion curves, allowing one to study fine details in the k dependence of the spin-wave spectra. We also demonstrate how spatial and time-reversal symmetry can be exploited to accelerate substantially the computation of the four-point quantities. As an illustration, we present spin-wave spectra and dispersions for the elementary ferromagnet bcc Fe, B2-type tetragonal FeCo, and CrO2 calculated with our scheme. The results are in good agreement with available experimental data.}}, author = {{Friedrich, Christoph and Şaşıoğlu, Ersoy and Müller, Mathias and Schindlmayr, Arno and Blügel, Stefan}}, booktitle = {{First Principles Approaches to Spectroscopic Properties of Complex Materials}}, editor = {{Di Valentin, Cristiana and Botti, Silvana and Cococcioni, Matteo}}, isbn = {{978-3-642-55067-6}}, issn = {{1436-5049}}, pages = {{259--301}}, publisher = {{Springer}}, title = {{{Spin excitations in solids from many-body perturbation theory}}}, doi = {{10.1007/128_2013_518}}, volume = {{347}}, year = {{2014}}, } @inbook{18472, abstract = {{Many-body perturbation theory is a well-established ab initio electronic-structure method based on Green functions. Although computationally more demanding than density functional theory, it has the distinct advantage that the exact expressions for all relevant observables, including the ground-state total energy, in terms of the Green function are known explicitly. The most important application, however, lies in the calculation of excited states, whose energies correspond directly to the poles of the Green function in the complex frequency plane. The accuracy of results obtained within this framework is only limited by the choice of the exchange-correlation self-energy, which must still be approximated in actual implementations. In this respect, the GW approximation has proved highly successful for systems governed by the Coulomb interaction. It yields band structures of solids, including the band gaps of semiconductors, as well as atomic and molecular ionization energies in very good quantitative agreement with experimental photoemission data.}}, author = {{Schindlmayr, Arno}}, booktitle = {{Many-Electron Approaches in Physics, Chemistry and Mathematics}}, editor = {{Bach, Volker and Delle Site, Luigi}}, isbn = {{978-3-319-06378-2}}, issn = {{2352-3905}}, pages = {{343--357}}, publisher = {{Springer}}, title = {{{The GW approximation for the electronic self-energy}}}, doi = {{10.1007/978-3-319-06379-9_19}}, volume = {{29}}, year = {{2014}}, } @article{18473, abstract = {{We investigate the band dispersion and related electronic properties of picene single crystals within the GW approximation for the electronic self-energy. The width of the upper highest occupied molecular orbital (HOMOu) band along the Γ–Y direction, corresponding to the b crystal axis in real space along which the molecules are stacked, is determined to be 0.60 eV and thus 0.11 eV larger than the value obtained from density-functional theory. As in our recent study of rubrene using the same methodology [S. Yanagisawa, Y. Morikawa, and A. Schindlmayr, Phys. Rev. B 88, 115438 (2013)], this increase in the bandwidth is due to the strong variation of the GW self-energy correction across the Brillouin zone, which in turn reflects the increasing hybridization of the HOMOu states of neighboring picene molecules from Γ to Y. In contrast, the width of the lower HOMO (HOMOl) band along Γ–Y remains almost unchanged, consistent with the fact that the HOMOl(Γ) and HOMOl(Y) states exhibit the same degree of hybridization, so that the nodal structure of the wave functions and the matrix elements of the self-energy correction are very similar.}}, author = {{Yanagisawa, Susumu and Morikawa, Yoshitada and Schindlmayr, Arno}}, issn = {{1347-4065}}, journal = {{Japanese Journal of Applied Physics}}, number = {{5S1}}, publisher = {{IOP Publishing and The Japan Society of Applied Physics}}, title = {{{Theoretical investigation of the band structure of picene single crystals within the GW approximation}}}, doi = {{10.7567/jjap.53.05fy02}}, volume = {{53}}, year = {{2014}}, } @inbook{18474, author = {{Friedrich, Christoph and Schindlmayr, Arno}}, booktitle = {{Computing Solids: Models, ab initio Methods and Supercomputing}}, editor = {{Blügel, Stefan and Helbig, Nicole and Meden, Volker and Wortmann, Daniel}}, isbn = {{978-3-89336-912-6}}, issn = {{1866-1807}}, location = {{Jülich}}, pages = {{A4.1--A4.21}}, publisher = {{Forschungszentrum Jülich}}, title = {{{Many-body perturbation theory: The GW approximation}}}, volume = {{74}}, year = {{2014}}, } @article{40402, author = {{Sharapova, Polina and Tikhonova, O V}}, issn = {{1742-6596}}, journal = {{Journal of Physics: Conference Series}}, keywords = {{General Physics and Astronomy}}, publisher = {{IOP Publishing}}, title = {{{Interaction of a classical laser field with a model Rydberg atom in a mixed state prepared by entanglement with few-photon quantum light}}}, doi = {{10.1088/1742-6596/497/1/012017}}, volume = {{497}}, year = {{2014}}, } @article{40400, author = {{Pérez, A. M. and Iskhakov, T. Sh. and Sharapova, Polina and Lemieux, S. and Tikhonova, O. V. and Chekhova, M. V. and Leuchs, G.}}, issn = {{0146-9592}}, journal = {{Optics Letters}}, keywords = {{Atomic and Molecular Physics, and Optics}}, number = {{8}}, publisher = {{The Optical Society}}, title = {{{Bright squeezed-vacuum source with 11 spatial mode}}}, doi = {{10.1364/ol.39.002403}}, volume = {{39}}, year = {{2014}}, } @article{43198, abstract = {{Ultrafast charge transport in strongly biased semiconductors is at the heart of high-speed electronics, electro-optics and fundamental solid-state physics1,2,3,4,5,6,7,8,9,10,11,12,13. Intense light pulses in the terahertz spectral range have opened fascinating vistas14,15,16,17,18,19,20,21. Because terahertz photon energies are far below typical electronic interband resonances, a stable electromagnetic waveform may serve as a precisely adjustable bias5,11,17,19. Novel quantum phenomena have been anticipated for terahertz amplitudes, reaching atomic field strengths8,9,10. We exploit controlled (multi-)terahertz waveforms with peak fields of 72 MV cm−1 to drive coherent interband polarization combined with dynamical Bloch oscillations in semiconducting gallium selenide. These dynamics entail the emission of phase-stable high-harmonic transients, covering the entire terahertz-to-visible spectral domain between 0.1 and 675 THz. Quantum interference of different ionization paths of accelerated charge carriers is controlled via the waveform of the driving field and explained by a quantum theory of inter- and intraband dynamics. Our results pave the way towards all-coherent terahertz-rate electronics.}}, author = {{Meier, Torsten and Schubert, O. and Hohenleutner, M. and Langer, F. and Urbanek, B. and Lange, C. and Huttner, U. and Golde, D. and Kira, M. and Koch, S. W. and Huber, R.}}, journal = {{Nature Photonics}}, number = {{2}}, publisher = {{Nature Publishing Group}}, title = {{{Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations}}}, doi = {{10.1038/nphoton.2013.349}}, volume = {{8}}, year = {{2014}}, } @article{43251, abstract = {{The nonadiabatic dynamics of a many-body system driven through a quantum critical point can be controlled using counterdiabatic driving, where the formation of excitations is suppressed by assisting the dynamics with auxiliary multiple-body nonlocal interactions. We propose an alternative scheme which circumvents practical challenges to realize shortcuts to adiabaticity in mesoscopic systems by tailoring the functional form of the auxiliary counterdiabatic interactions. A driving scheme resorting in short-range few-body interactions is shown to generate an effectively adiabatic dynamics.}}, author = {{Saberi, H. and Opatrný, T. and Mølmer, K. and del Campo,, A.}}, journal = {{Physical Review A}}, number = {{6}}, title = {{{Adiabatic tracking of quantum many-body dynamics}}}, doi = {{10.1103/PhysRevA.90.060301}}, volume = {{90}}, year = {{2014}}, } @techreport{5036, author = {{Fahr, Rene and Janssen, Elmar A. and Sureth-Sloane, Caren}}, title = {{{Can Tax Rate Changes Accelerate Investment Under Entry and Exit Flexibility? - Insights from an Economic Experiment}}}, volume = {{166}}, year = {{2014}}, } @inbook{57163, author = {{Bausch, Isabell and Biehler, Rolf and Bruder, Regina and Fischer, Pascal R. and Hochmuth, Reinhard and Koepf, Wolfram and Wassong, Thomas}}, booktitle = {{Mathematische Vor- und Brückenkurse: Konzepte, Probleme und Perspektiven}}, editor = {{Bausch, I. and Biehler, Rolf and Bruder, Regina and Fischer, Pascal and Hochmuth, Reinhard and Koepf, W. and Schreiber, S. and Wassong, Thomas}}, isbn = {{9783658030643}}, issn = {{2197-8751}}, pages = {{261--276}}, publisher = {{Springer Fachmedien Wiesbaden}}, title = {{{VEMINT – Interaktives Lernmaterial für mathematische Vor- und Brückenkurse}}}, doi = {{10.1007/978-3-658-03065-0_18}}, year = {{2014}}, } @inbook{57168, author = {{Biehler, Rolf}}, booktitle = {{Transformation—A Fundamental Idea of Mathematics Education}}, editor = {{Rezat, Sebastian and Hattermann, Mathias and Peter-Koop, Andrea}}, pages = {{127--134}}, publisher = {{Springer}}, title = {{{Discussion of Part I - Transitions in Learning Mathematics as a Challenge for People and Institutions}}}, doi = {{10.1007/978-1-4614-3489-4_18}}, year = {{2014}}, } @inbook{57166, author = {{Biehler, Rolf}}, booktitle = {{Daten, Zufall und der Rest der Welt: Didaktische Perspektiven zur anwendungsbezogenen Mathematik}}, editor = {{Sproesser, U. and Wessolowski, S. and Wörn, C.}}, pages = {{13–26}}, publisher = {{Springer Spektrum}}, title = {{{Die Gesetze der großen Zahlen als heuristische Hilfsmittel zur Begriffsbildung in der Stochastik}}}, year = {{2014}}, } @inbook{57170, author = {{Biehler, Rolf}}, booktitle = {{Fachdidaktik Mathematik-Grundbildung und Kompetenzaufbau im Unterricht der Sekundarstufe I und II}}, editor = {{Linneweber-Lammerskitten, H.}}, publisher = {{Kallmeyer}}, title = {{{Leitidee Daten und Zufall – Fundamentale Ideen aus Sicht der angewandten Stochastik}}}, year = {{2014}}, } @book{57164, editor = {{Bausch, I. and Biehler, Rolf and Bruder, Regina and Fischer, Pascal and Hochmuth, Reinhard and Koepf, W. and Schreiber, S. and Wassong, Thomas}}, publisher = {{Springer Spektrum}}, title = {{{Mathematische Vor-und Brückenkurse, Konzepte, Probleme und Perspektiven}}}, year = {{2014}}, } @book{57152, editor = {{Bürgel, Christoph and Siepmann, Dirk }}, publisher = {{Schneider}}, title = {{{Sprachwissenschaft und Fremdsprachenunterricht: Spracherwerb und Sprachkompetenzen im Fokus}}}, year = {{2014}}, } @book{57153, editor = {{Bürgel, Christoph and Tinnefeld, Thomas and Kostrzewa, Frank and Lüger, Heinz-Helmut and Siepmann, Dirk and Langner, Michael}}, title = {{{Fremdsprachenunterricht im Spannungsfeld zwischen Sprachwissen und Sprachkönnen}}}, year = {{2014}}, } @article{57284, author = {{Biehler, Rolf and Leuders, Timo}}, issn = {{0173-5322}}, journal = {{Journal für Mathematik-Didaktik}}, number = {{1}}, pages = {{1--5}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Kompetenzmodellierungen für den Mathematikunterricht – Eine Zwischenbilanz aus Sicht der Mathematikdidaktik}}}, doi = {{10.1007/s13138-014-0062-9}}, volume = {{35}}, year = {{2014}}, } @inbook{57196, author = {{Biehler, Rolf and Fischer, Pascal R. and Hochmuth, Reinhard and Wassong, Thomas}}, booktitle = {{Mathematische Vor- und Brückenkurse: Konzepte, Probleme und Perspektiven}}, editor = {{Bausch, I. and Biehler, Rolf and Bruder, Regina and Fischer, Pascal and Hochmuth, Reinhard and Koepf, W. and Schreiber, S. and Wassong, T.}}, isbn = {{9783658030643}}, issn = {{2197-8751}}, publisher = {{Springer Fachmedien Wiesbaden}}, title = {{{Eine Vergleichsstudie zum Einsatz von Math-Bridge und VEMINT an den Universitäten Kassel und Paderborn}}}, doi = {{10.1007/978-3-658-03065-0_8}}, year = {{2014}}, } @inbook{57191, author = {{Biehler, Rolf}}, booktitle = {{Fachdidaktik Mathematik - Grundbildung und Kompetenzaufbau im Unterricht der Sekundarstufe I und II}}, editor = {{Linneweber-Lammerskitten, H.}}, pages = {{69–92}}, publisher = {{Klett Kallmeyer}}, title = {{{Leitidee Daten und Zufall–Fundamentale Ideen aus Sicht der Statistik}}}, year = {{2014}}, }