Charge transport in amorphous organic semiconductors

Organic semiconductors with the unique combination of electronic and mechanical properties may offer cost-effective ways of realizing many electronic applications, e.g. large-area flexible displays, printed integrated circuits and plastic solar cells. In order to facilitate the rational compound design of organic semiconductors, it is essential to understand relevant physical properties e.g. charge transport. This, however, is not straightforward, since physical models operating on different time and length scales need to be combined. First, the material morphology has to be known at an atomistic scale. For this atomistic molecular dynamics simulations can be employed, provided that an atomistic force field is available. Otherwise it has to be developed based on the existing force fields and first principle calculations. However, atomistic simulations are typically limited to the nanometer length- and nanosecond time-scales. To overcome these limitations, systematic coarse-graining techniques can be used. In the first part of this thesis, it is demonstrated how a force field can be parameterized for a typical organic molecule. Then different coarse-graining approaches are introduced together with the analysis of their advantages and problems. When atomistic morphology is available, charge transport can be studied by combining the high-temperature Marcus theory with kinetic Monte Carlo simulations. The approach is applied to the hole transport in amorphous films of tris(8-hydroxyquinoline)aluminium (Alq3). First the influence of the force field parameters and the corresponding morphological changes on charge transport is studied. It is shown that the energetic disorder plays an important role for amorphous Alq3, defining charge carrier dynamics. Its spatial correlations govern the Poole-Frenkel behavior of the charge carrier mobility. It is found that hole transport is dispersive for system sizes accessible to simulations, meaning that calculated mobilities depend strongly on the system size. A method for extrapolating calculated mobilities to the infinite system size is proposed, allowing direct comparison of simulation results and time-of-flight experiments. The extracted value of the nondispersive hole mobility and its electric field dependence for amorphous Alq3 agree well with the experimental results.

Luigi Nono: spazio e composizione

Architettura e musica. Spazio e tempo. Suono. Esperienza. Queste le parole chiave da cui ha preso avvio la mia ricerca. Tutto è iniziato dall’intuizione dell’esistenza di un legame tra due discipline cui ho dedicato molto tempo e studio, completando due percorsi accademici paralleli, la Facoltà di architettura e il Conservatorio. Dopo un lavoro d’individuazione e analisi degli infiniti spunti di riflessione che il tema offriva, ho focalizzato l’attenzione su uno degli esempi più emblematici di collaborazione tra un architetto e un musicista realizzatasi nel Novecento: Prometeo, tragedia dell’ascolto (1984), composta da Luigi Nono con la collaborazione di Massimo Cacciari e Renzo Piano. Attraverso lo studio di Prometeo ho potuto affrontare la trattazione di molte delle possibili declinazioni del rapporto interdisciplinare tra musica e architettura. La ricerca si è svolta principalmente sullo studio dei materiali conservati presso l’Archivio Luigi Nono e l’archivio della Fondazione Renzo Piano. La tesi è organizzata in tre parti: una prima parte in cui si affronta il tema del ruolo dello spazio nelle opere di Nono precedenti a Prometeo, facendo emergere l’importanza dell’ambiente culturale e sonoro veneziano; una seconda parte in cui si approfondisce il processo compositivo che ha portato alle rappresentazioni di Prometeo a Venezia, Milano e a Parigi; una terza parte in cui si prende in considerazione quanto avvenuto dopo Prometeo e si riflette sui contributi che questa esperienza può portare alla progettazione di spazi per la musica, analizzando diversi allestimenti dell’opera senza arca e prendendo in considerazione i progetti dell’auditorium dell’International Art Village di Akiyoshidai e della sala della nuova Philharmonie di Parigi. Lo studio dell’esperienza di Prometeo ha lo scopo di stimolare la curiosità verso la ricerca e la sperimentazione di quegli infiniti possibili della composizione architettonica e musicale di cui parla Nono.

Computer simulation studies of vector spin glasses

Die vorliegende Doktorarbeit befasst sich mit klassischen Vektor-Spingläsern eine Art von ungeordneten Magneten - auf verschiedenen Gittertypen. Da siernbedeutsam für eine experimentelle Realisierung sind, ist ein theoretisches Verständnis von Spinglas-Modellen mit wenigen Spinkomponenten und niedriger Gitterdimension von großer Bedeutung. Da sich dies jedoch als sehr schwierigrnerweist, sind neue, aussichtsreiche Ansätze nötig. Diese Arbeit betrachtet daher den Limesrnunendlich vieler Spindimensionen. Darin entstehen mehrere Vereinfachungen im Vergleichrnzu Modellen niedriger Spindimension, so dass für dieses bedeutsame Problem Eigenschaften sowohl bei Temperatur Null als auch bei endlichen Temperaturenrnüberwiegend mit numerischen Methoden ermittelt werden. Sowohl hyperkubische Gitter als auch ein vielseitiges 1d-Modell werden betrachtet. Letzteres erlaubt es, unterschiedliche Universalitätsklassen durch bloßes Abstimmen eines einzigen Parameters zu untersuchen. "Finite-size scaling''-Formen, kritische Exponenten, Quotienten kritischer Exponenten und andere kritische Größen werden nahegelegt und mit numerischen Ergebnissen verglichen. Eine detaillierte Beschreibung der Herleitungen aller numerisch ausgewerteter Gleichungen wird ebenso angegeben. Bei Temperatur Null wird eine gründliche Untersuchung der Grundzustände und Defektenergien gemacht. Eine Reihe interessanter Größen wird analysiert und insbesondere die untere kritische Dimension bestimmt. Bei endlicher Temperatur sind der Ordnungsparameter und die Spinglas-Suszeptibilität über die numerisch berechnete Korrelationsmatrix zugänglich. Das Spinglas-Modell im Limes unendlich vieler Spinkomponenten kann man als Ausgangspunkt zur Untersuchung der natürlicheren Modelle mit niedriger Spindimension betrachten. Wünschenswert wäre natürlich ein Modell, das die Vorteile des ersten mit den Eigenschaften des zweiten verbände. Daher wird in Modell mit Anisotropie vorgeschlagen und getestet, mit welchem versucht wird, dieses Ziel zu erreichen. Es wird auf reizvolle Wege hingewiesen, das Modell zu nutzen und eine tiefergehende Beschäftigung anzuregen. Zuletzt werden sogenannte "real-space" Renormierungsgruppenrechnungen sowohl analytisch als auch numerisch für endlich-dimensionale Vektor-Spingläser mit endlicher Anzahl von Spinkomponenten durchgeführt. Dies wird mit einer zuvor bestimmten neuen Migdal-Kadanoff Rekursionsrelation geschehen. Neben anderen Größen wird die untere kritische Dimension bestimmt.

Investigations on asymptotic safety of metric, tetrad and Einstein-Cartan gravity

Among the different approaches for a construction of a fundamental quantum theory of gravity the Asymptotic Safety scenario conjectures that quantum gravity can be defined within the framework of conventional quantum field theory, but only non-perturbatively. In this case its high energy behavior is controlled by a non-Gaussian fixed point of the renormalization group flow, such that its infinite cutoff limit can be taken in a well defined way. A theory of this kind is referred to as non-perturbatively renormalizable. In the last decade a considerable amount of evidence has been collected that in four dimensional metric gravity such a fixed point, suitable for the Asymptotic Safety construction, indeed exists. This thesis extends the Asymptotic Safety program of quantum gravity by three independent studies that differ in the fundamental field variables the investigated quantum theory is based on, but all exhibit a gauge group of equivalent semi-direct product structure. It allows for the first time for a direct comparison of three asymptotically safe theories of gravity constructed from different field variables. The first study investigates metric gravity coupled to SU(N) Yang-Mills theory. In particular the gravitational effects to the running of the gauge coupling are analyzed and its implications for QED and the Standard Model are discussed. The second analysis amounts to the first investigation on an asymptotically safe theory of gravity in a pure tetrad formulation. Its renormalization group flow is compared to the corresponding approximation of the metric theory and the influence of its enlarged gauge group on the UV behavior of the theory is analyzed. The third study explores Asymptotic Safety of gravity in the Einstein-Cartan setting. Here, besides the tetrad, the spin connection is considered a second fundamental field. The larger number of independent field components and the enlarged gauge group render any RG analysis of this system much more difficult than the analog metric analysis. In order to reduce the complexity of this task a novel functional renormalization group equation is proposed, that allows for an evaluation of the flow in a purely algebraic manner. As a first example of its suitability it is applied to a three dimensional truncation of the form of the Holst action, with the Newton constant, the cosmological constant and the Immirzi parameter as its running couplings. A detailed comparison of the resulting renormalization group flow to a previous study of the same system demonstrates the reliability of the new equation and suggests its use for future studies of extended truncations in this framework.

Diblock copolymer - nanocrystal hybrids for optoelectronic applications

Small, smaller, nano - it is a milestone in the development of new materials and technologies. Nanoscience is now present in our daily lives: in the car industry with self-cleaning surfaces, in medicine with cancer therapies, even our clothes and cosmetics utilize nanoparticles. The number and variety of applications has been growing fast in recent years, and the possibilities seem almost infinite. Nanoparticles made of inorganic materials have found applications in new electronic technologies, and organic nanomaterials have been added to resins to produce very strong but light weight materials.rnThis work deals with the combination of organic and inorganic materials for the fabrication of new, functional hybrid systems. For that purpose, block copolymers were made with a long, solubility-enhancing and semiconducting block, and a short anchor block. They were synthesized by either RAFT polymerization or Siegrist polycondensation. For the second block, an active ester was grafted on and subsequently reacted with the anchor molecules in a polymer analogue reaction. The resulting block copolymers had different properties; poly(para-phenylene vinylene) showed self-assembly in organic solvents, which resulted in gelling of the solution. The fibers from a diluted solution were visible through microscopy. When polymer chains were attached to TiO2 nanorods, the hybrids could be integrated into polymer fibers. A light-induced charge separation was demonstrated through KPFM. The polymer charged positively and the charge could travel along the fibers for several hundred nanometers. Polymers made via RAFT polymerization were based on poly(vinyltriphenylamine). Ruthenium chromophores which carried anchor groups were attached to the second block. These novel block copolymers were then attached to ZnO nanorods. A light-induced charge separation was also demonstrated in this system. The ability to disperse inorganic nanoparticles within the film is another advantage of these block copolymers. This was shown with the example of CdSe tetrapods. Poly(vinyltriphenylamine dimer) with disulfide anchor groups was attached to CdSe tetrapods. These four-armed nanoparticles are supposed to show very high charge transport. A polymer without anchor groups was also mixed with the tetrapods in order to investigate the influence of the anchor groups. It was shown that without them no good films were formed and the tetrapods aggregated heavily in the samples. Additionally, a large difference in the film qualities and the aggregation of the tetrapods was found in the sample of the polymer with anchor groups, dependent on the tetrapod arm length and the polymer loading. These systems are very interesting for hybrid solar cells. This work also illustrates similar systems with quantum dots. The influence of the energy level of the polymer on the hole transport from the polymer to the quantum dots, as well as on the efficiency of QLEDs was studied. For this purpose two different polymers were synthesized with different HOMO levels. It was clearly shown that the polymer with the adjusted lower HOMO level had a better hole injection to the quantum dots, which resulted in more efficient light emitting diodes.rnThese systems all have in common the fact that novel, and specially designed polymers, were attached to inorganic nanocrystals. All of these hybrid materials show fascinating properties, and are helpful in the research of new materials for optoelectronic applications.

Le Havre. Forme e caratteri dello spazio urbano nel progetto di Auguste Perret

Oggetto del presente studio è il progetto di ricostruzione del centro urbano di Le Havre ad opera di Auguste Perret. Suo obiettivo è il riconoscimento di quell’idea di città posta a fondamento del progetto, per il quale ci si propone di indagare il senso e le grammatiche costitutive della sua forma. Quella di Le Havre costituisce una dimostrazione di come una forma urbana ancora compatta ed evocativa della città storica possa definirsi a partire dalle relazioni stabilite con gli elementi della geografia fisica. Nei suoi luoghi collettivi e monumentali, che rimandano chiaramente a una cultura dell’abitare che affonda le proprie radici nella più generale esperienza della costruzione della città francese, la città riconosce un valore formale e sceglie di rappresentare il proprio mondo civico dinanzi a quei grandi elementi della geografia fisica che costituiscono l’identità del luogo nel quale questa si colloca. Sembra infatti possibile affermare che gli spazi pubblici della città atlantica riconoscano e traducano nella forma della Place de l’Hôtel de Ville le ripide pendici della falesia del Bec-de-Caux, in quella della Porte Océane l’orizzonte lontano dell’Oceano, e nel Front-de-mer Sud l’altra riva dell’estuario della Senna. Questa relazione fondativa sembra essere conseguita anche attraverso la definizione di un’appropriata grammatica dello spazio urbano, la cui significatività è nel fondarsi sull’assunzione, allo stesso tempo, del valore dello spazio circoscritto e del valore dello spazio aperto. La riflessione sullo spazio urbano investe anche la costruzione dell’isolato, sottoposto a una necessaria rifondazione di forma e significato, allo scopo di rendere intellegibile le relazioni tra gli spazi finiti della città e quelli infiniti della natura. La definizione dell’identità dello spazio urbano, sembra fondarsi, in ultima analisi, sulle possibilità espressive delle forme della costruzione che, connotate come forme dell’architettura, definiscono il carattere dei tipi edilizi e dello spazio da questi costruito.

Random lattice models

This thesis deals with three different physical models, where each model involves a random component which is linked to a cubic lattice. First, a model is studied, which is used in numerical calculations of Quantum Chromodynamics.In these calculations random gauge-fields are distributed on the bonds of the lattice. The formulation of the model is fitted into the mathematical framework of ergodic operator families. We prove, that for small coupling constants, the ergodicity of the underlying probability measure is indeed ensured and that the integrated density of states of the Wilson-Dirac operator exists. The physical situations treated in the next two chapters are more similar to one another. In both cases the principle idea is to study a fermion system in a cubic crystal with impurities, that are modeled by a random potential located at the lattice sites. In the second model we apply the Hartree-Fock approximation to such a system. For the case of reduced Hartree-Fock theory at positive temperatures and a fixed chemical potential we consider the limit of an infinite system. In that case we show the existence and uniqueness of minimizers of the Hartree-Fock functional. In the third model we formulate the fermion system algebraically via C*-algebras. The question imposed here is to calculate the heat production of the system under the influence of an outer electromagnetic field. We show that the heat production corresponds exactly to what is empirically predicted by Joule's law in the regime of linear response.

Computer simulation methods to study interfacial tensions : from the Ising model to colloidal crystals

In condensed matter systems, the interfacial tension plays a central role for a multitude of phenomena. It is the driving force for nucleation processes, determines the shape and structure of crystalline structures and is important for industrial applications. Despite its importance, the interfacial tension is hard to determine in experiments and also in computer simulations. While for liquid-vapor interfacial tensions there exist sophisticated simulation methods to compute the interfacial tension, current methods for solid-liquid interfaces produce unsatisfactory results.rnrnAs a first approach to this topic, the influence of the interfacial tension on nuclei is studied within the three-dimensional Ising model. This model is well suited because despite its simplicity, one can learn much about nucleation of crystalline nuclei. Below the so-called roughening temperature, nuclei in the Ising model are not spherical anymore but become cubic because of the anisotropy of the interfacial tension. This is similar to crystalline nuclei, which are in general not spherical but more like a convex polyhedron with flat facets on the surface. In this context, the problem of distinguishing between the two bulk phases in the vicinity of the diffuse droplet surface is addressed. A new definition is found which correctly determines the volume of a droplet in a given configuration if compared to the volume predicted by simple macroscopic assumptions.rnrnTo compute the interfacial tension of solid-liquid interfaces, a new Monte Carlo method called ensemble switch method'' is presented which allows to compute the interfacial tension of liquid-vapor interfaces as well as solid-liquid interfaces with great accuracy. In the past, the dependence of the interfacial tension on the finite size and shape of the simulation box has often been neglected although there is a nontrivial dependence on the box dimensions. As a consequence, one needs to systematically increase the box size and extrapolate to infinite volume in order to accurately predict the interfacial tension. Therefore, a thorough finite-size scaling analysis is established in this thesis. Logarithmic corrections to the finite-size scaling are motivated and identified, which are of leading order and therefore must not be neglected. The astounding feature of these logarithmic corrections is that they do not depend at all on the model under consideration. Using the ensemble switch method, the validity of a finite-size scaling ansatz containing the aforementioned logarithmic corrections is carefully tested and confirmed. Combining the finite-size scaling theory with the ensemble switch method, the interfacial tension of several model systems, ranging from the Ising model to colloidal systems, is computed with great accuracy.

Exact quantum Monte Carlo methods for correlated electron systems

Thema dieser Arbeit ist die Entwicklung und Kombination verschiedener numerischer Methoden, sowie deren Anwendung auf Probleme stark korrelierter Elektronensysteme. Solche Materialien zeigen viele interessante physikalische Eigenschaften, wie z.B. Supraleitung und magnetische Ordnung und spielen eine bedeutende Rolle in technischen Anwendungen. Es werden zwei verschiedene Modelle behandelt: das Hubbard-Modell und das Kondo-Gitter-Modell (KLM). In den letzten Jahrzehnten konnten bereits viele Erkenntnisse durch die numerische Lösung dieser Modelle gewonnen werden. Dennoch bleibt der physikalische Ursprung vieler Effekte verborgen. Grund dafür ist die Beschränkung aktueller Methoden auf bestimmte Parameterbereiche. Eine der stärksten Einschränkungen ist das Fehlen effizienter Algorithmen für tiefe Temperaturen.rnrnBasierend auf dem Blankenbecler-Scalapino-Sugar Quanten-Monte-Carlo (BSS-QMC) Algorithmus präsentieren wir eine numerisch exakte Methode, die das Hubbard-Modell und das KLM effizient bei sehr tiefen Temperaturen löst. Diese Methode wird auf den Mott-Übergang im zweidimensionalen Hubbard-Modell angewendet. Im Gegensatz zu früheren Studien können wir einen Mott-Übergang bei endlichen Temperaturen und endlichen Wechselwirkungen klar ausschließen.rnrnAuf der Basis dieses exakten BSS-QMC Algorithmus, haben wir einen Störstellenlöser für die dynamische Molekularfeld Theorie (DMFT) sowie ihre Cluster Erweiterungen (CDMFT) entwickelt. Die DMFT ist die vorherrschende Theorie stark korrelierter Systeme, bei denen übliche Bandstrukturrechnungen versagen. Eine Hauptlimitation ist dabei die Verfügbarkeit effizienter Störstellenlöser für das intrinsische Quantenproblem. Der in dieser Arbeit entwickelte Algorithmus hat das gleiche überlegene Skalierungsverhalten mit der inversen Temperatur wie BSS-QMC. Wir untersuchen den Mott-Übergang im Rahmen der DMFT und analysieren den Einfluss von systematischen Fehlern auf diesen Übergang.rnrnEin weiteres prominentes Thema ist die Vernachlässigung von nicht-lokalen Wechselwirkungen in der DMFT. Hierzu kombinieren wir direkte BSS-QMC Gitterrechnungen mit CDMFT für das halb gefüllte zweidimensionale anisotrope Hubbard Modell, das dotierte Hubbard Modell und das KLM. Die Ergebnisse für die verschiedenen Modelle unterscheiden sich stark: während nicht-lokale Korrelationen eine wichtige Rolle im zweidimensionalen (anisotropen) Modell spielen, ist in der paramagnetischen Phase die Impulsabhängigkeit der Selbstenergie für stark dotierte Systeme und für das KLM deutlich schwächer. Eine bemerkenswerte Erkenntnis ist, dass die Selbstenergie sich durch die nicht-wechselwirkende Dispersion parametrisieren lässt. Die spezielle Struktur der Selbstenergie im Impulsraum kann sehr nützlich für die Klassifizierung von elektronischen Korrelationseffekten sein und öffnet den Weg für die Entwicklung neuer Schemata über die Grenzen der DMFT hinaus.

Composizione dinamica di funzioni di rete virtuali in ambienti cloud

Questo documento si interroga sulle nuove possibilità offerte agli operatori del mondo delle Reti di Telecomunicazioni dai paradigmi di Network Functions Virtualization, Cloud Computing e Software Defined Networking: questi sono nuovi approcci che permettono la creazione di reti dinamiche e altamente programmabili, senza disdegnare troppo il lato prestazionale. L'intento finale è valutare se con un approccio di questo genere si possano implementare dinamicamente delle concatenazioni di servizi di rete e se le prestazioni finali rispecchiano ciò che viene teorizzato dai suddetti paradigmi. Tutto ciò viene valutato per cercare una soluzione efficace al problema dell'ossificazione di Internet: infatti le applicazioni di rete, dette middle-boxes, comportano costi elevati, situazioni di dipendenza dal vendor e staticità delle reti stesse, portando all'impossibilità per i providers di sviluppare nuovi servizi. Il caso di studio si basa proprio su una rete che implementa questi nuovi paradigmi: si farà infatti riferimento a due diverse topologie, una relativa al Livello L2 del modello OSI (cioè lo strato di collegamento) e una al Livello L3 (strato di rete). Le misure effettuate infine mostrano come le potenzialità teorizzate siano decisamente interessanti e innovative, aprendo un ventaglio di infinite possibilità per il futuro sviluppo di questo settore.

Coded slotted aloha with multipacket reception over block fading channels (for satellite networks)

Random access (RA) protocols are normally used in a satellite networks for initial terminal access and are particularly effective since no coordination is required. On the other hand, contention resolution diversity slotted Aloha (CRDSA), irregular repetition slotted Aloha (IRSA) and coded slotted Aloha (CSA) has shown to be more efficient than classic RA schemes as slotted Aloha, and can be exploited also when short packets transmissions are done over a shared medium. In particular, they relies on burst repetition and on successive interference cancellation (SIC) applied at the receiver. The SIC process can be well described using a bipartite graph representation and exploiting tools used for analyze iterative decoding. The scope of my Master Thesis has been to described the performance of such RA protocols when the Rayleigh fading is taken into account. In this context, each user has the ability to correctly decode a packet also in presence of collision and when SIC is considered this may result in multi-packet reception. Analysis of the SIC procedure under Rayleigh fading has been analytically derived for the asymptotic case (infinite frame length), helping the analysis of both throughput and packet loss rates. An upper bound of the achievable performance has been analytically obtained. It can be show that in particular channel conditions the throughput of the system can be greater than one packets per slot which is the theoretical limit of the Collision Channel case.

Curve di terzo grado nel piano e nello spazio

Si è interessati a classificare le cubiche del piano proiettivo complesso. In particolare vengono classificate le cubiche piane dimostrando che ogni cubica non singolare è proiettivamente equivalente a una cubica di equazione affine nota e che esistono infinite classi di equivalenza proiettiva per le cubiche piane non singolari. Si mostra inoltre che le cubiche piane singolari irriducibili possono essere ricondotte a due classi di equivalenza proiettive: la prima classe contiene le cubiche con un nodo, la seconda classe contiene invece le cubiche con una cuspide. Infine si studiano le proiezioni piane della cubica gobba da un suo punto, oppure da un punto esterno alla cubica.

On the recurrence of random walks in Lévy random environments

This thesis investigates one-dimensional random walks in random environment whose transition probabilities might have an infinite variance. The ergodicity of the dynamical system ''from the point of view of the particle'' is proved under the assumptions of transitivity and existence of an absolutely continuous steady state on the space of the environments. We show that, if the average of the local drift over the environments is summable and null, then the RWRE is recurrent. We provide an example satisfying all the hypotheses.

Alternative derivative expansion in Functional RG and application

We give a brief review of the Functional Renormalization method in quantum field theory, which is intrinsically non perturbative, in terms of both the Polchinski equation for the Wilsonian action and the Wetterich equation for the generator of the proper verteces. For the latter case we show a simple application for a theory with one real scalar field within the LPA and LPA' approximations. For the first case, instead, we give a covariant "Hamiltonian" version of the Polchinski equation which consists in doing a Legendre transform of the flow for the corresponding effective Lagrangian replacing arbitrary high order derivative of fields with momenta fields. This approach is suitable for studying new truncations in the derivative expansion. We apply this formulation for a theory with one real scalar field and, as a novel result, derive the flow equations for a theory with N real scalar fields with the O(N) internal symmetry. Within this new approach we analyze numerically the scaling solutions for N=1 in d=3 (critical Ising model), at the leading order in the derivative expansion with an infinite number of couplings, encoded in two functions V(phi) and Z(phi), obtaining an estimate for the quantum anomalous dimension with a 10% accuracy (confronting with Monte Carlo results).

INTERPOLATING BLASCHKE PRODUCTS AND ANGULAR DERIVATIVES

We show that to each inner function, there corresponds at least one interpolating Blaschke product whose angular derivatives have precisely the same behavior as the given inner function. We characterize the Blaschke products invertible in the closed algebra H-infinity[(b) over bar : b has finite angular derivative everywhere. We study the most well-known example of a Blaschke product with infinite angular derivative everywhere and show that it is an interpolating Blaschke product. We conclude the paper with a method for constructing thin Blaschke products with infinite angular derivative everywhere.