TY - JOUR A1 - Sorgenfrei, Nomi A1 - Giangrisostomi, Erika A1 - Kühn, Danilo A1 - Ovsyannikov, Ruslan A1 - Föhlisch, Alexander T1 - Time and angle-resolved time-of-flight electron spectroscopy for functional materials science JF - Molecules : a journal of synthetic chemistry and natural product chemistry N2 - Electron spectroscopy with the unprecedented transmission of angle-resolved time-of-flight detection, in combination with pulsed X-ray sources, brings new impetus to functional materials science. We showcase recent developments towards chemical sensitivity from electron spectroscopy for chemical analysis and structural information from photoelectron diffraction using the phase transition properties of 1T-TaS2. Our development platform is the SurfaceDynamics instrument located at the Femtoslicing facility at BESSY II, where femtosecond and picosecond X-ray pulses can be generated and extracted. The scientific potential is put into perspective to the current rapidly developing pulsed X-ray source capabilities from Lasers and Free-Electron Lasers. KW - photoelectron spectroscopy KW - surface science KW - time-resolved KW - ultrafast KW - instrumentation KW - dichalcogenides KW - phase transition Y1 - 2022 U6 - https://doi.org/10.3390/molecules27248833 SN - 1420-3049 VL - 27 IS - 24 PB - MDPI CY - Basel ER - TY - GEN A1 - García-Benito, Inés A1 - Quarti, Claudio A1 - Queloz, Valentin I. E. A1 - Hofstetter, Yvonne J. A1 - Becker-Koch, David A1 - Caprioglio, Pietro A1 - Neher, Dieter A1 - Orlandi, Simonetta A1 - Cavazzini, Marco A1 - Pozzi, Gianluca A1 - Even, Jacky A1 - Nazeeruddin, Mohammad Khaja A1 - Vaynzof, Yana A1 - Grancini, Giulia T1 - Fluorination of organic spacer impacts on the structural and optical response of 2D perovskites T2 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe N2 - Low-dimensional hybrid perovskites have triggered significant research interest due to their intrinsically tunable optoelectronic properties and technologically relevant material stability. In particular, the role of the organic spacer on the inherent structural and optical features in two-dimensional (2D) perovskites is paramount for material optimization. To obtain a deeper understanding of the relationship between spacers and the corresponding 2D perovskite film properties, we explore the influence of the partial substitution of hydrogen atoms by fluorine in an alkylammonium organic cation, resulting in (Lc)(2)PbI4 and (Lf)(2)PbI4 2D perovskites, respectively. Consequently, optical analysis reveals a clear 0.2 eV blue-shift in the excitonic position at room temperature. This result can be mainly attributed to a band gap opening, with negligible effects on the exciton binding energy. According to Density Functional Theory (DFT) calculations, the band gap increases due to a larger distortion of the structure that decreases the atomic overlap of the wavefunctions and correspondingly bandwidth of the valence and conduction bands. In addition, fluorination impacts the structural rigidity of the 2D perovskite, resulting in a stable structure at room temperature and the absence of phase transitions at a low temperature, in contrast to the widely reported polymorphism in some non-fluorinated materials that exhibit such a phase transition. This indicates that a small perturbation in the material structure can strongly influence the overall structural stability and related phase transition of 2D perovskites, making them more robust to any phase change. This work provides key information on how the fluorine content in organic spacer influence the structural distortion of 2D perovskites and their optical properties which possess remarkable importance for future optoelectronic applications, for instance in the field of light-emitting devices or sensors. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1421 KW - fluorinated organic spacer KW - 2D perovskites KW - phase transition KW - temperature dependence KW - excitonic materials Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-512420 SN - 1866-8372 ER - TY - JOUR A1 - García-Benito, Inés A1 - Quarti, Claudio A1 - Queloz, Valentin I. E. A1 - Hofstetter, Yvonne J. A1 - Becker-Koch, David A1 - Caprioglio, Pietro A1 - Neher, Dieter A1 - Orlandi, Simonetta A1 - Cavazzini, Marco A1 - Pozzi, Gianluca A1 - Even, Jacky A1 - Nazeeruddin, Mohammad Khaja A1 - Vaynzof, Yana A1 - Grancini, Giulia T1 - Fluorination of organic spacer impacts on the structural and optical response of 2D perovskites JF - Frontiers in Chemistry N2 - Low-dimensional hybrid perovskites have triggered significant research interest due to their intrinsically tunable optoelectronic properties and technologically relevant material stability. In particular, the role of the organic spacer on the inherent structural and optical features in two-dimensional (2D) perovskites is paramount for material optimization. To obtain a deeper understanding of the relationship between spacers and the corresponding 2D perovskite film properties, we explore the influence of the partial substitution of hydrogen atoms by fluorine in an alkylammonium organic cation, resulting in (Lc)(2)PbI4 and (Lf)(2)PbI4 2D perovskites, respectively. Consequently, optical analysis reveals a clear 0.2 eV blue-shift in the excitonic position at room temperature. This result can be mainly attributed to a band gap opening, with negligible effects on the exciton binding energy. According to Density Functional Theory (DFT) calculations, the band gap increases due to a larger distortion of the structure that decreases the atomic overlap of the wavefunctions and correspondingly bandwidth of the valence and conduction bands. In addition, fluorination impacts the structural rigidity of the 2D perovskite, resulting in a stable structure at room temperature and the absence of phase transitions at a low temperature, in contrast to the widely reported polymorphism in some non-fluorinated materials that exhibit such a phase transition. This indicates that a small perturbation in the material structure can strongly influence the overall structural stability and related phase transition of 2D perovskites, making them more robust to any phase change. This work provides key information on how the fluorine content in organic spacer influence the structural distortion of 2D perovskites and their optical properties which possess remarkable importance for future optoelectronic applications, for instance in the field of light-emitting devices or sensors. KW - fluorinated organic spacer KW - 2D perovskites KW - phase transition KW - temperature dependence KW - excitonic materials Y1 - 2020 U6 - https://doi.org/10.3389/fchem.2019.00946 SN - 2296-2646 VL - 7 SP - 1 EP - 11 PB - Frontiers Media CY - Lausanne ER - TY - JOUR A1 - Henkel, Carsten A1 - Sauer, Tim-O A1 - Proukakis, N. P. T1 - Cross-over to quasi-condensation: mean-field theories and beyond JF - Journal of physics : B, Atomic, molecular and optical physics N2 - We analyze the cross-over of a homogeneous, weakly interacting Bose gas in one dimension from the ideal gas into the dense quasi-condensate phase. We review a number of mean-field theories, perturbative or self-consistent, and provide accurate evaluations of equation of state, density fluctuations, and correlation functions. A smooth crossover is reproduced by classical-field simulations based on the stochastic Gross-Pitaevskii equation and the Yang-Yang solution to the one-dimensional Bose gas. KW - quantum gases KW - Bose-Einstein condensation KW - phase transition KW - critical fluctuations Y1 - 2017 U6 - https://doi.org/10.1088/1361-6455/aa6888 SN - 0953-4075 SN - 1361-6455 VL - 50 PB - IOP Publ. Ltd. CY - Bristol ER - TY - THES A1 - Peter, Franziska T1 - Transition to synchrony in finite Kuramoto ensembles T1 - Synchronisationsübergang in endlichen Kuramoto-Ensembles N2 - Synchronisation – die Annäherung der Rhythmen gekoppelter selbst oszillierender Systeme – ist ein faszinierendes dynamisches Phänomen, das in vielen biologischen, sozialen und technischen Systemen auftritt. Die vorliegende Arbeit befasst sich mit Synchronisation in endlichen Ensembles schwach gekoppelter selbst-erhaltender Oszillatoren mit unterschiedlichen natürlichen Frequenzen. Das Standardmodell für dieses kollektive Phänomen ist das Kuramoto-Modell – unter anderem aufgrund seiner Lösbarkeit im thermodynamischen Limes unendlich vieler Oszillatoren. Ähnlich einem thermodynamischen Phasenübergang zeigt im Fall unendlich vieler Oszillatoren ein Ordnungsparameter den Übergang von Inkohärenz zu einem partiell synchronen Zustand an, in dem ein Teil der Oszillatoren mit einer gemeinsamen Frequenz rotiert. Im endlichen Fall treten Fluktuationen auf. In dieser Arbeit betrachten wir den bisher wenig beachteten Fall von bis zu wenigen hundert Oszillatoren, unter denen vergleichbar starke Fluktuationen auftreten, bei denen aber ein Vergleich zu Frequenzverteilungen im unendlichen Fall möglich ist. Zunächst definieren wir einen alternativen Ordnungsparameter zur Feststellung einer kollektiven Mode im endlichen Kuramoto-Modell. Dann prüfen wir die Abhängigkeit des Synchronisationsgrades und der mittleren Rotationsfrequenz der kollektiven Mode von Eigenschaften der natürlichen Frequenzverteilung für verschiedene Kopplungsstärken. Wir stellen dabei zunächst numerisch fest, dass der Synchronisationsgrad stark von der Form der Verteilung (gemessen durch die Kurtosis) und die Rotationsfrequenz der kollektiven Mode stark von der Asymmetrie der Verteilung (gemessen durch die Schiefe) der natürlichen Frequenzen abhängt. Beides können wir im thermodynamischen Limes analytisch verifizieren. Mit diesen Ergebnissen können wir Erkenntnisse anderer Autoren besser verstehen und verallgemeinern. Etwas abseits des roten Fadens dieser Arbeit finden wir außerdem einen analytischen Ausdruck für die Volumenkontraktion im Phasenraum. Der zweite Teil der Arbeit konzentriert sich auf den ordnenden Effekt von Fluktuationen, die durch die Endlichkeit des Systems zustande kommen. Im unendlichen Modell sind die Oszillatoren eindeutig in kohärent und inkohärent und damit in geordnet und ungeordnet getrennt. Im endlichen Fall können die auftretenden Fluktuationen zusätzliche Ordnung unter den asynchronen Oszillatoren erzeugen. Das grundlegende Prinzip, die rauschinduzierte Synchronisation, ist aus einer Reihe von Publikationen bekannt. Unter den gekoppelten Oszillatoren nähern sich die Phasen aufgrund der Fluktuationen des Ordnungsparameters an, wie wir einerseits direkt numerisch zeigen und andererseits mit einem Synchronisationsmaß aus der gerichteten Statistik zwischen Paaren passiver Oszillatoren nachweisen. Wir bestimmen die Abhängigkeit dieses Synchronisationsmaßes vom Verhältnis von paarweiser natürlicher Frequenzdifferenz zur Varianz der Fluktuationen. Dabei finden wir eine gute Übereinstimmung mit einem einfachen analytischen Modell, in welchem wir die deterministischen Fluktuationen des Ordnungsparameters durch weißes Rauschen ersetzen. N2 - Synchronization – the adjustment of rhythms among coupled self-oscillatory systems – is a fascinating dynamical phenomenon found in many biological, social, and technical systems. The present thesis deals with synchronization in finite ensembles of weakly coupled self-sustained oscillators with distributed frequencies. The standard model for the description of this collective phenomenon is the Kuramoto model – partly due to its analytical tractability in the thermodynamic limit of infinitely many oscillators. Similar to a phase transition in the thermodynamic limit, an order parameter indicates the transition from incoherence to a partially synchronized state. In the latter, a part of the oscillators rotates at a common frequency. In the finite case, fluctuations occur, originating from the quenched noise of the finite natural frequency sample. We study intermediate ensembles of a few hundred oscillators in which fluctuations are comparably strong but which also allow for a comparison to frequency distributions in the infinite limit. First, we define an alternative order parameter for the indication of a collective mode in the finite case. Then we test the dependence of the degree of synchronization and the mean rotation frequency of the collective mode on different characteristics for different coupling strengths. We find, first numerically, that the degree of synchronization depends strongly on the form (quantified by kurtosis) of the natural frequency sample and the rotation frequency of the collective mode depends on the asymmetry (quantified by skewness) of the sample. Both findings are verified in the infinite limit. With these findings, we better understand and generalize observations of other authors. A bit aside of the general line of thoughts, we find an analytical expression for the volume contraction in phase space. The second part of this thesis concentrates on an ordering effect of the finite-size fluctuations. In the infinite limit, the oscillators are separated into coherent and incoherent thus ordered and disordered oscillators. In finite ensembles, finite-size fluctuations can generate additional order among the asynchronous oscillators. The basic principle – noise-induced synchronization – is known from several recent papers. Among coupled oscillators, phases are pushed together by the order parameter fluctuations, as we on the one hand show directly and on the other hand quantify with a synchronization measure from directed statistics between pairs of passive oscillators. We determine the dependence of this synchronization measure from the ratio of pairwise natural frequency difference and variance of the order parameter fluctuations. We find a good agreement with a simple analytical model, in which we replace the deterministic fluctuations of the order parameter by white noise. KW - synchronization KW - Kuramoto model KW - finite size KW - phase transition KW - dynamical systems KW - networks KW - Synchronisation KW - Kuramoto-Modell KW - endliche Ensembles KW - Phasenübergang KW - dynamische Systeme KW - Netzwerke Y1 - 2019 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-429168 ER - TY - THES A1 - Sauer, Tim-Oliver T1 - Quasi-condensation in low-dimensional Bose gases T1 - Quasi-Kondensation in niedrig-dimensionalen Bosegasen BT - mean-field theories and stochastic modelling BT - Molekularfeldtheorie und stochastische Modellierung N2 - The subject of the present thesis is the one-dimensional Bose gas. Since long-rang order is destroyed by infra-red fluctuations in one dimension, only the formation of a quasi-condensate is possible, which exhibits suppressed density fluctuations, but whose phase fluctuates strongly. It is shown that modified mean-field theories based on a symmetry-breaking approach can even characterise phase coherence properties of such a quasi-condensate properly. A correct description of the transition from the degenerate ideal Bose gas to the quasi-condensate, which is a smooth cross-over rather than a phase transition, is not possible though. Basic conditions for the applicability of the theories are not fulfilled in this regime, such that the existence of a critical point is predicted. The theories are compared on the basis of their excitation sprectum, equation of state, density fluctuations and related correlation functions. High-temperature expansions of the corresponding integrals are derived analytically for the numerical evaluation of the self-consistent integral equations. Apart from that, the Stochastic Gross-Pitaevskii equation (SGPE), a non-linear Langevin equation, is analysed numerically by means of Monte-Carlo simulations and the results are compared to those of the mean-field theories. In this context, a lot of attention is payed to the appropriate choice of the parameters. The simulations prove that the SGPE is capable of describing the cross-over properly, but highlight the limitations of the widely used local density approximation as well. N2 - Gegenstand der vorgelegten Arbeit ist das ein-dimensionale Bose-Gas. Da durch Infrarot-Fluktuationen langreichweitige Ordnung zerstört wird, kann sich in einer Dimension nur ein Quasi-Kondensat ausbilden, welches sich durch unterdrückte Dichte-Fluktuationen auszeichnet, dessen Phase jedoch stark fluktuiert. Es wird gezeigt, dass entsprechend angepasste Mean-field-Theorien, ausgehend von einem symmetriebrechenden Ansatz, in der Lage sind, auch Phasenkohärenzeigenschaften eines solchen Quasi-Kondensats richtig wiederzugeben. Eine Beschreibung des Übergangs vom entarteten idealen Bose-Gas zum Quasi-Kondensat, welcher kontinuierlich ist und damit keinen Phasenübergang sondern einen Cross-over darstellt, ist jedoch nicht möglich. Grundlegende Vorraussetzungen für die Anwendung der Theorien sind in diesem Regime nicht erfüllt, sodass falsche Aussagen wie die Existenz eines kritischen Punktes getroffen werden. Die Theorien werden anhand ihres Anregungsspektrums und ihrer Vorhersagen in Bezug auf die Zustandsgleichung, Dichte-Fluktuationen und damit in Beziehung stehenden Korrelationsfunktionen verglichen. Für die dafür notwendige numerische Auswertung der selbstkonsistenten Integralgleichungen werden Hochtemperaturentwicklungen der entsprechenden Integrale analytisch hergeleitet. Darüber hinaus wird die Stochastische Gross-Pitaevskii (SGP) Gleichung, eine nicht-lineare Langevin-Gleichung, numerisch mittels Monte-Carlo Simulationen analysiert und ihre Ergebnisse mit denen der Mean-field-Theorien verglichen. Dabei erfolgt eine intensive Auseinandersetzung mit der adäquaten Wahl der Parameter. Die Simulationen beweisen, dass die SGP Gleichung den Cross-over beschreiben kann, zeigen jedoch auch die Grenzen der oft verwendeten lokalen Dichte-Näherung auf. KW - Bose-Einstein Kondensation KW - Quasi-Kondensat KW - kritische Fluktuationen KW - Mean-field Theorie KW - Stochastische Gross-Pitaevskii Gleichung KW - Bogoliubov-Theorie KW - lokale Dichte-Näherung KW - Bosegas KW - Phasenübergang KW - Bose-Einstein condensation KW - quasi-condensate KW - critical fluctuations KW - mean-field theory KW - stochastic Gross-Pitaevskii equation KW - Bogoliubov theory KW - local density approximation KW - bose gas KW - phase transition Y1 - 2015 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-87247 ER -