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N-point Virasoro algebras are multipoint Krichever-Novikov-type algebras
http://hdl.handle.net/10993/30249
Title: N-point Virasoro algebras are multipoint Krichever-Novikov-type algebras
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<br/>Author, co-author: Schlichenmaier, MartinTravaux mathematiques, Scientific contributions of the Centre for Quantum Geometry of Moduli Spaces, AQM Aarhus Denmark
http://hdl.handle.net/10993/30243
Title: Travaux mathematiques, Scientific contributions of the Centre for Quantum Geometry of Moduli Spaces, AQM Aarhus Denmark
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<br/>Editor: Schlichenmaier, MartinWhat makes Data Science different? A discussion involving Statistics2.0 and Computational Sciences
http://hdl.handle.net/10993/30235
Title: What makes Data Science different? A discussion involving Statistics2.0 and Computational Sciences
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<br/>Author, co-author: Ley, Christophe; Bordas, Stéphane
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<br/>Abstract: Data Science is today one of the main buzzwords be it in business, industrial or academic settings. Machine learning, experimental design, data-driven modelling are all, undoubtedly, rising disciplines if one goes by the soaring number of research papers and patents appearing each year. The prospect of becoming a ``Data Scientist'' appeals to many. A discussion panel organised as part of the European Data Science Conference (European Association for Data Science (EuADS)) asked the question: ``What makes Data Science different?'' In this paper we give our own, personal and multi-facetted view on this question, from an engineering and a statistics perspective. In particular, we compare Data Science to Statistics and discuss the connection between Data Science and Computational Science.A classification of polynomial functions satisfying the Jacobi identity over integral domains
http://hdl.handle.net/10993/30207
Title: A classification of polynomial functions satisfying the Jacobi identity over integral domains
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<br/>Author, co-author: Marichal, Jean-Luc; Mathonet, Pierre
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<br/>Abstract: The Jacobi identity is one of the properties that are used to define the concept of Lie algebra and in this context is closely related to associativity. In this paper we provide a complete description of all bivariate polynomials that satisfy the Jacobi identity over infinite integral domains. Although this description depends on the characteristic of the domain, it turns out that all these polynomials are of degree at most one in each indeterminate.The Naproche system: Proof-checking mathematical texts in controlled natural language
http://hdl.handle.net/10993/30185
Title: The Naproche system: Proof-checking mathematical texts in controlled natural language
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<br/>Author, co-author: Cramer, Marcos
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<br/>Abstract: The Naproche system is a system for linguistically analysing and proof-checking mathematical texts written in a controlled natural language, i.e. a subset of the usual natural language of mathematical texts defined through a formal grammar. This paper gives an overview over the linguistic and logical techniques developed for the Naproche system. Special attention is given to the dynamic nature of quantification in natural language, to the phenomenon of implicit function introduction in mathematical texts, and to the usage of definitions for dynamically extending the language of a mathematical text.Helical gaps in interacting Rashba wires
http://hdl.handle.net/10993/30180
Title: Helical gaps in interacting Rashba wires
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<br/>Author, co-author: Schmidt, ThomasSpin textures and response functions of helical electron systems
http://hdl.handle.net/10993/30179
Title: Spin textures and response functions of helical electron systems
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<br/>Author, co-author: Schmidt, ThomasDetecting and manipulating Majorana bound states in nanowires
http://hdl.handle.net/10993/30178
Title: Detecting and manipulating Majorana bound states in nanowires
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<br/>Author, co-author: Schmidt, ThomasLifting the Franck-Condon blockade in driven quantum dots
http://hdl.handle.net/10993/30177
Title: Lifting the Franck-Condon blockade in driven quantum dots
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<br/>Author, co-author: Haughian, Patrick; Walter, Stefan; Nunnenkamp, Andreas; Schmidt, Thomas
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<br/>Abstract: Electron-vibron coupling in quantum dots can lead to a strong suppression of the average current in the sequential tunneling regime. This effect is known as Franck-Condon blockade and can be traced back to an overlap integral between vibron states with different electron numbers which becomes exponentially small for large electron-vibron coupling strength. Here, we investigate the effect of a time-dependent drive on this phenomenon, in particular the effect of an oscillatory gate voltage acting on the electronic dot level. We employ two different approaches: perturbation theory based on nonequilibrium Keldysh Green's functions and a master equation in Born-Markov approximation. In both cases, we find that the drive can lift the blockade by exciting vibrons. As a consequence, the relative change in average current grows exponentially with the drive strength.Strongly interacting quantum wires with spin-orbit coupling
http://hdl.handle.net/10993/30176
Title: Strongly interacting quantum wires with spin-orbit coupling
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<br/>Author, co-author: Pedder, Christopher; Schmidt, Thomas
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<br/>Abstract: We study the effect of Rashba spin-orbit coupling on a quantum wire with strong interactions, which can be experimentally realised by depopulating a gated InSb or GaAs wire. When the wire carries a very low density of electrons, it is convenient to model the system in terms of a "Wigner crystal" of electrons localised on lattice sites. At the lowest densities, the Wigner crystal is a one dimensional entity, whereas at intermediate regimes it is know that a "zigzag" crystal consisting of two parallel rows of electrons can form. We investigate the effect of Rashba spin-orbit coupling, which plays an important role for both the spin and charge degrees of freedom, in both these systems with and without an applied magnetic field. We propose detection of these effects via measurement of spin-spin correlation functions of the quantum wire, e.g. by doing STM with a polarized tip.Noncovalent Bonding Controls Selectivity in Heterogeneous Catalysis: Coupling Reactions on Gold
http://hdl.handle.net/10993/30175
Title: Noncovalent Bonding Controls Selectivity in Heterogeneous Catalysis: Coupling Reactions on Gold
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<br/>Author, co-author: Karakalos, Stavros; Xu, Yunfei; Cheenicode Kabeer, Fairoja; Chen, Wei; Rodríguez-Reyes, Juan Carlos F.; Tkatchenko, Alexandre; Kaxiras, Efthimios; Madix, Robert J.; Friend, Cynthia M.
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<br/>Commentary: PMID: 27775885Nature of Hydrogen Bonds and S···S Interactions in the l-Cystine Crystal
http://hdl.handle.net/10993/30174
Title: Nature of Hydrogen Bonds and S···S Interactions in the l-Cystine Crystal
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<br/>Author, co-author: Flores-Huerta, Anaid G.; Tkatchenko, Alexandre; Galván, Marcelo
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<br/>Commentary: PMID: 27249178Identical Binding Energies and Work Functions for Distinct Adsorption Structures: Olympicenes on the Cu(111) Surface
http://hdl.handle.net/10993/30173
Title: Identical Binding Energies and Work Functions for Distinct Adsorption Structures: Olympicenes on the Cu(111) Surface
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<br/>Author, co-author: Liu, Wei; Schuler, Bruno; Xu, Yong; Moll, Nikolaj; Meyer, Gerhard; Gross, Leo; Tkatchenko, Alexandre
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<br/>Commentary: PMID: 26928143Tuning Intermolecular Interactions with Nanostructured Environments
http://hdl.handle.net/10993/30172
Title: Tuning Intermolecular Interactions with Nanostructured Environments
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<br/>Author, co-author: Chattopadhyaya, Mausumi; Hermann, Jan; Poltavsky, Igor; Tkatchenko, AlexandreDynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields
http://hdl.handle.net/10993/30167
Title: Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields
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<br/>Author, co-author: Pedder, Christopher; Meng, Tobias; Tiwari, Rakesh; Schmidt, Thomas
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<br/>Abstract: A partially gapped spectrum due to the application of a magnetic field is one of the main probes of Rashba spin-orbit coupling in nanowires. Such a ``helical gap'' manifests itself in the linear conductance, as well as in dynamic response functions such as the spectral function, the structure factor, or the tunnelling density of states. In this paper, we investigate theoretically the signature of the helical gap in these observables with a particular focus on the interplay between Rashba spin-orbit coupling and electron-electron interactions. We show that in a quasi-one-dimensional wire, interactions can open a helical gap even without magnetic field. We calculate the dynamic response functions using bosonization, a renormalization group analysis, and the exact form factors of the emerging sine-Gordon model. For special interaction strengths, we verify our results by refermionization. We show how the two types of helical gaps, caused by magnetic fields or interactions, can be distinguished in experiments.Fractional charge oscillations in quantum spin Hall quantum dots
http://hdl.handle.net/10993/30164
Title: Fractional charge oscillations in quantum spin Hall quantum dots
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<br/>Author, co-author: Traverso Ziani, Nicolo; Fleckenstein, Christoph; Dolcetto, Giacomo; Trauzettel, Bjorn
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<br/>Abstract: We show that correlated two-particle backscattering can induce fractional charge oscillations in a quantum dot built at the edge of a two-dimensional topological insulator by means of magnetic barriers. The result nicely complements recent works where the fractional oscillations were obtained employing of semiclassical treatments. Moreover, since by rotating the magnetization of the barriers a fractional charge can be trapped in the dot via the Jackiw-Rebbi mechanism, the system we analyze offers the opportunity to study the interplay between this noninteracting charge fractionalization and the fractionalization due to two-particle backscattering. In this context, we demonstrate that the number of fractional oscillations of the charge density depends on the magnetization angle. Finally, we address the renormalization induced by two-particle backscattering on the spin density, which is characterized by a dominant oscillation, sensitive to the Jackiw-Rebbi charge, with a wavelength twice as large as the charge density oscillations.Emission of entangled Kramers pairs from a helical mesoscopic capacitor
http://hdl.handle.net/10993/30163
Title: Emission of entangled Kramers pairs from a helical mesoscopic capacitor
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<br/>Author, co-author: Dolcetto, GiacomoMonolayers of hard rods on planar substrates. II. Growth
http://hdl.handle.net/10993/30162
Title: Monolayers of hard rods on planar substrates. II. Growth
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<br/>Author, co-author: Klopotek, Miriam; Hansen-Goos, Hendrik; Dixit, Mohit; Schilling, Tanja; Schreiber, Frank; Oettel, Martin
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<br/>Abstract: Growth of hard-rod monolayers via deposition is studied in a lattice model using rods with discrete orientations and in a continuum model with hard spherocylinders. The lattice model is treated with kinetic Monte Carlo simulations and dynamic density functional theory while the continuum model is studied by dynamic Monte Carlo simulations equivalent to diffusive dynamics. The evolution of nematic order (excess of upright particles, “standing-up” transition) is an entropic effect and is mainly governed by the equilibrium solution, rendering a continuous transition [Paper I, M. Oettel et al., J. Chem. Phys. 145, 074902 (2016)]. Strong non-equilibrium effects (e.g., a noticeable dependence on the ratio of rates for translational and rotational moves) are found for attractive substrate potentials favoring lying rods. Results from the lattice and the continuum models agree qualitatively if the relevant characteristic times for diffusion, relaxation of nematic order, and deposition are matched properly. Applicability of these monolayer results to multilayer growth is discussed for a continuum-model realization in three dimensions where spherocylinders are deposited continuously onto a substrate via diffusion.Materials perspective on Casimir and van der Waals interactions
http://hdl.handle.net/10993/30147
Title: Materials perspective on Casimir and van der Waals interactions
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<br/>Author, co-author: Woods, L. M.; Dalvit, D. A. R.; Tkatchenko, Alexandre; Rodriguez-Lopez, P.; Rodriguez, A. W.; Podgornik, R.Communication: Many-body stabilization of non-covalent interactions: Structure, stability, and mechanics of Ag3Co(CN)6 framework
http://hdl.handle.net/10993/30146
Title: Communication: Many-body stabilization of non-covalent interactions: Structure, stability, and mechanics of Ag3Co(CN)6 framework
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<br/>Author, co-author: Liu, Xiaofei; Hermann, Jan; Tkatchenko, Alexandre