@article{BeniniSchenkelSchreiber2018, author = {Benini, Marco and Schenkel, Alexander and Schreiber, Urs}, title = {The Stack of Yang-Mills Fields on Lorentzian Manifolds}, series = {Communications in mathematical physics}, volume = {359}, journal = {Communications in mathematical physics}, number = {2}, publisher = {Springer}, address = {New York}, issn = {0010-3616}, doi = {10.1007/s00220-018-3120-1}, pages = {765 -- 820}, year = {2018}, abstract = {We provide an abstract definition and an explicit construction of the stack of non-Abelian Yang-Mills fields on globally hyperbolic Lorentzian manifolds. We also formulate a stacky version of the Yang-Mills Cauchy problem and show that its well-posedness is equivalent to a whole family of parametrized PDE problems. Our work is based on the homotopy theoretical approach to stacks proposed in Hollander (Isr. J. Math. 163:93-124, 2008), which we shall extend by further constructions that are relevant for our purposes. In particular, we will clarify the concretification of mapping stacks to classifying stacks such as BG (con).}, language = {en} } @article{SchreiberOneaGaspar2021, author = {Schreiber, Alexander and Onea G{\´a}sp{\´a}r, Edgar}, title = {Are narrow focus exhaustivity inferences Bayesian inferences?}, series = {Frontiers in psychology / Frontiers Research Foundation}, volume = {12}, journal = {Frontiers in psychology / Frontiers Research Foundation}, publisher = {Frontiers Research Foundation}, address = {Lausanne}, issn = {1664-1078}, doi = {10.3389/fpsyg.2021.677223}, pages = {19}, year = {2021}, abstract = {In successful communication, the literal meaning of linguistic utterances is often enriched by pragmatic inferences. Part of the pragmatic reasoning underlying such inferences has been successfully modeled as Bayesian goal recognition in the Rational Speech Act (RSA) framework. In this paper, we try to model the interpretation of question-answer sequences with narrow focus in the answer in the RSA framework, thereby exploring the effects of domain size and prior probabilities on interpretation. Should narrow focus exhaustivity inferences be actually based on Bayesian inference involving prior probabilities of states, RSA models should predict a dependency of exhaustivity on these factors. We present experimental data that suggest that interlocutors do not act according to the predictions of the RSA model and that exhaustivity is in fact approximately constant across different domain sizes and priors. The results constitute a conceptual challenge for Bayesian accounts of the underlying pragmatic inferences.}, language = {en} } @article{KaaSternemannAppeletal.2022, author = {Kaa, Johannes M. and Sternemann, Christian and Appel, Karen and Cerantola, Valerio and Preston, Thomas R. and Albers, Christian and Elbers, Mirko and Libon, Lelia and Makita, Mikako and Pelka, Alexander and Petitgirard, Sylvain and Pl{\"u}ckthun, Christian and Roddatis, Vladimir and Sahle, Christoph J. and Spiekermann, Georg and Schmidt, Christian and Schreiber, Anja and Sakrowski, Robin and Tolan, Metin and Wilke, Max and Zastrau, Ulf and Konopkova, Zuzana}, title = {Structural and electron spin state changes in an x-ray heated iron carbonate system at the Earth's lower mantle pressures}, series = {Physical review research}, volume = {4}, journal = {Physical review research}, number = {3}, publisher = {American Physical Society}, address = {College Park}, issn = {2643-1564}, doi = {10.1103/PhysRevResearch.4.033042}, pages = {9}, year = {2022}, abstract = {The determination of the spin state of iron-bearing compounds at high pressure and temperature is crucial for our understanding of chemical and physical properties of the deep Earth. Studies on the relationship between the coordination of iron and its electronic spin structure in iron-bearing oxides, silicates, carbonates, iron alloys, and other minerals found in the Earth's mantle and core are scarce because of the technical challenges to simultaneously probe the sample at high pressures and temperatures. We used the unique properties of a pulsed and highly brilliant x-ray free electron laser (XFEL) beam at the High Energy Density (HED) instrument of the European XFEL to x-ray heat and probe samples contained in a diamond anvil cell. We heated and probed with the same x-ray pulse train and simultaneously measured x-ray emission and x-ray diffraction of an FeCO3 sample at a pressure of 51 GPa with up to melting temperatures. We collected spin state sensitive Fe K beta(1,3) fluorescence spectra and detected the sample's structural changes via diffraction, observing the inverse volume collapse across the spin transition. During x-ray heating, the carbonate transforms into orthorhombic Fe4C3O12 and iron oxides. Incipient melting was also observed. This approach to collect information about the electronic state and structural changes from samples contained in a diamond anvil cell at melting temperatures and above will considerably improve our understanding of the structure and dynamics of planetary and exoplanetary interiors.}, language = {en} } @article{SchwarzeSchellhammerOrtsteinetal.2019, author = {Schwarze, Martin and Schellhammer, Karl Sebastian and Ortstein, Katrin and Benduhn, Johannes and Gaul, Christopher and Hinderhofer, Alexander and Perdig{\´o}n-Toro, Lorena and Scholz, Reinhard and Kublitski, Jonas and Roland, Steffen and Lau, Matthias and Poelking, Carl and Andrienko, Denis and Cuniberti, Gianaurelio and Schreiber, Frank and Neher, Dieter and Vandewal, Koen and Ortmann, Frank and Leo, Karl}, title = {Impact of molecular quadrupole moments on the energy levels at organic heterojunctions}, series = {Nature Communications}, volume = {10}, journal = {Nature Communications}, publisher = {Nature Publ. Group}, address = {London}, issn = {2041-1723}, doi = {10.1038/s41467-019-10435-2}, pages = {9}, year = {2019}, abstract = {The functionality of organic semiconductor devices crucially depends on molecular energies, namely the ionisation energy and the electron affinity. Ionisation energy and electron affinity values of thin films are, however, sensitive to film morphology and composition, making their prediction challenging. In a combined experimental and simulation study on zinc-phthalocyanine and its fluorinated derivatives, we show that changes in ionisation energy as a function of molecular orientation in neat films or mixing ratio in blends are proportional to the molecular quadrupole component along the p-p-stacking direction. We apply these findings to organic solar cells and demonstrate how the electrostatic interactions can be tuned to optimise the energy of the charge-transfer state at the donor-acceptor interface and the dissociation barrier for free charge carrier generation. The confirmation of the correlation between interfacial energies and quadrupole moments for other materials indicates its relevance for small molecules and polymers.}, language = {en} } @article{BrinkmannBeckerZimmermannetal.2022, author = {Brinkmann, Kai Oliver and Becker, Tim and Zimmermann, Florian and Kreusel, Cedric and Gahlmann, Tobias and Theisen, Manuel and Haeger, Tobias and Olthof, Selina and T{\"u}ckmantel, Christian and G{\"u}nster, M. and Maschwitz, Timo and G{\"o}belsmann, Fabian and Koch, Christine and Hertel, Dirk and Caprioglio, Pietro and Pe{\~n}a-Camargo, Francisco and Perdig{\´o}n-Toro, Lorena and Al-Ashouri, Amran and Merten, Lena and Hinderhofer, Alexander and Gomell, Leonie and Zhang, Siyuan and Schreiber, Frank and Albrecht, Steve and Meerholz, Klaus and Neher, Dieter and Stolterfoht, Martin and Riedl, Thomas}, title = {Perovskite-organic tandem solar cells with indium oxide interconnect}, series = {Nature}, volume = {604}, journal = {Nature}, number = {7905}, publisher = {Nature Research}, address = {Berlin}, issn = {0028-0836}, doi = {10.1038/s41586-022-04455-0}, pages = {280 -- 286}, year = {2022}, abstract = {Multijunction solar cells can overcome the fundamental efficiency limits of single-junction devices. The bandgap tunability of metal halide perovskite solar cells renders them attractive for multijunction architectures(1). Combinations with silicon and copper indium gallium selenide (CIGS), as well as all-perovskite tandem cells, have been reported(2-5). Meanwhile, narrow-gap non-fullerene acceptors have unlocked skyrocketing efficiencies for organic solar cells(6,7). Organic and perovskite semiconductors are an attractive combination, sharing similar processing technologies. Currently, perovskite-organic tandems show subpar efficiencies and are limited by the low open-circuit voltage (V-oc) of wide-gap perovskite cells(8) and losses introduced by the interconnect between the subcells(9,10). Here we demonstrate perovskite-organic tandem cells with an efficiency of 24.0 per cent (certified 23.1 per cent) and a high V-oc of 2.15 volts. Optimized charge extraction layers afford perovskite subcells with an outstanding combination of high V-oc and fill factor. The organic subcells provide a high external quantum efficiency in the near-infrared and, in contrast to paradigmatic concerns about limited photostability of non-fullerene cells(11), show an outstanding operational stability if excitons are predominantly generated on the non-fullerene acceptor, which is the case in our tandems. The subcells are connected by an ultrathin (approximately 1.5 nanometres) metal-like indium oxide layer with unprecedented low optical/electrical losses. This work sets a milestone for perovskite-organic tandems, which outperform the best p-i-n perovskite single junctions(12) and are on a par with perovskite-CIGS and all-perovskite multijunctions(13).}, language = {en} }