University of Macau / Faculty of Science and Technology / Department of Electrical and Electronics Engineering

This thesis is a study of three categories of problems in fermionic systems for which topology plays an important role: (i) The properties of zero modes arising in systems of fermions interacting with a bosonic background, with a special focus on Majorana modes arising in the superconductor state. We propose a method for counting Majorana modes and we study a mechanism for controlling their number parity in lattice systems, two questions that are of relevance to the protection of quantum bits. (ii) The study of dispersionless bands in two dimensions as a platform for correlated physics, where it is shown the possibility of stabilizing the fractional quantum Hall effect in a flat band with Chern number. (iii) The extension of the hierarchy of quantum Hall fluids to the case of time-reversal symmetric incompressible ground states describing a phase of strongly interacting topological insulators in two dimensions. / Physics

Topological insulators (TI) are a new phase of matter with very exotic electronic properties on their surface. As a direct consequence of the topological order, the surface electrons of TI form bands that cross the Fermi surface odd number of times and are guaranteed to be metallic. They also have a linear energy-momentum dispersion relationship that satisfies the Dirac equation and are therefore called Dirac fermions. The surface Dirac fermions of TI are spin-polarized with the direction of the spin locked to momentum and are immune from certain scatterings. These unique properties of surface electrons provide a platform for utilizing TI in future spin-based electronics and quantum computation. The surface bands of 3D TI can be directly mapped by angle-resolved photoemission spectroscopy (ARPES) and the spin polarization can be determined by spin-resolved ARPES. These types of experiments are the first to establish the 3D topological order, which demonstrates the power of ARPES in probing the surface of strongly spin-orbit coupled materials. Extensive investigation of TI has ranged from understanding the fundamental electronic and lattice structure of various TI compounds to building TI-based devices in search of more exotic particles such as Majorana fermions and magnetic monopoles. Surface-sensitive techniques that can efficiently disentangle the charge and spin degrees of freedom have been crucially important in tackling the multi-faceted problems of TI. In this thesis, I show that laser-based ARPES in combination with a time-of-flight spectrometer is a powerful tool to study the spin structure and charge dynamics of the Dirac fermions on the surface of TI. Chapter 1 gives a brief introduction of TI. Chapter 2 describes the basic principles behind ARPES and time-resolved ARPES (TrARPES). Chapter 3 provides a detailed account of the experimental setup to perform laser-based ARPES and TrARPES. In Chapters 4 and 5, how these two techniques are effectively applied to investigate two unique electronic properties of TI is elaborated. Through these studies, I have obtained a complete mapping of the spin texture of several prototypical topological insulators and have uncovered the cooling mechanism governing the hot surface Dirac fermions. / Physics

Over the past twenty-five years, condensed matter physics has been developing materials with novel electronic characteristics for a wide range of future applications. Two research directions have shown particular promise: topological insulators, and high temperature copper based superconductors (cuprates). Topological insulators are a newly discovered class of materials that can be manipulated for spintronic or quantum computing devices. However there is a poor spectroscopic understanding of the current topological insulators and emerging topological insulator candidates. In cuprate superconductors, the challenge lies in raising the superconducting transition temperature to temperatures accessible in non-laboratory settings. This effort has been hampered by a poor understanding of the superconducting mechanism and its relationship with a mysterious pseudogap phase. In this thesis, I will describe experiments conducted on topological insulators and cuprate superconductors using scanning tunneling microscopy and spectroscopy, which provide nanoscale spectroscopic information in these materials. / Physics

No description available.

Στην παρούσα διδακτορική διατριβή, διερευνήθηκε η συμπεριφορά μονωτήρων πορσελάνης και μονωτήρων πορσελάνης με επικάλυψη από RTV SIR, σε πραγματικές και εργαστηριακές συνθήκες, με μετρήσεις του ρεύματος διαρροής. Στην περίπτωση των μετρήσεων σε πραγματικές συνθήκες, με την χρήση κατάλληλου εξοπλισμού, κατέστη δυνατή η συνεχής καταγραφή της συμπεριφοράς δώδεκα μονωτήρων πορσελάνης 150kV, οι οποίοι αποτελούσαν ενεργές συνιστώσες δύο υποσταθμών του Συστήματος Μεταφοράς Κρήτης. Από αυτούς σε δέκα είχαν τοποθετηθεί επικαλύψεις από RTV SIR. Παράλληλα πραγματοποιήθηκαν και μετεωρολογικές μετρήσεις, σε συγχρονισμό με αυτές του ρεύματος διαρροής, δίνοντας την δυνατότητα συσχέτισης των μετεωρολογικών παραμέτρων με την αντίστοιχη συμπεριφορά των μονωτήρων. Οι μετρήσεις του ρεύματος διαρροής ανέδειξαν δύο περιόδους δραστηριότητας. Στην περίπτωση των μονωτήρων πορσελάνης η περίοδος αιχμής καταγράφεται στο τέλος της καλοκαιρινής περιόδου, από τον μήνα Αύγουστο μέχρι και τον Οκτώβριο. Τον υπόλοιπο χρόνο καταγράφεται δραστηριότητα, ιδιαίτερα την άνοιξη, σε σημαντικά χαμηλότερα επίπεδα όμως. Η συμπεριφορά αυτή είναι σε συμφωνία με την μηνιαία κατανομή των σφαλμάτων λόγω ρύπανσης στο Σύστημα Κρήτης, την περίοδο 1969 – 2005. Αντίθετα, στην περίπτωση των μονωτήρων με επικάλυψη από RTV SIR, την περίοδο από τον Αύγουστο μέχρι και τον Οκτώβριο, κατεγράφησαν εξαιρετικά χαμηλά ως και μηδενικά επίπεδα δραστηριότητας. Για τα υλικά αυτά, η αιχμή της επιφανειακής δραστηριότητας καταγράφεται κατά την χειμερινή περίοδο. Βέβαια πρέπει να σημειωθεί ότι ακόμη και τότε, η δραστηριότητα στην επιφάνεια των επικαλύψεων από RTV SIR είναι σαφώς ασθενέστερη σε σχέση με αυτήν των μονωτήρων πορσελάνης, το αντίστοιχο χρονικό διάστημα. Η ταυτόχρονη καταγραφή των μετεωρολογικών παραμέτρων ανέδειξε ως παράμετρο κλειδί τον παρατηρούμενο μηχανισμό ύγρανσης σε κάθε περίοδο. Η καλοκαιρινή αιχμή των μονωτήρων πορσελάνης αποδίδεται στην υγροσκοπική συμπεριφορά των ρύπων και στον μηχανισμό της συμπύκνωσης. Είναι σημαντικό ότι οι δύο αυτοί μηχανισμοί δεν μπορούν να μεταβάλουν την κατάσταση της επιφάνειας, ενώ προσβάλλουν το συνολικό μήκος ερπυσμού. Έτσι απουσία βροχοπτώσεων, ο φυσικός καθαρισμός των μονωτήρων το καλοκαίρι είναι δύσκολος, επιτρέποντας την προοδευτική συγκέντρωση της κρίσιμης ποσότητας ρύπανσης. Αντίθετα στους μονωτήρες με RTV SIR, παρά την παρουσία υγρασίας, διατηρείται η υδρόφοβη συμπεριφορά της επιφάνειας, η οποία επιβάλει τελικά την καταστολή της επιφανειακής δραστηριότητας. Αντίθετα τον χειμώνα, η εμφάνιση ασθενών βροχοπτώσεων μπορεί να οδηγήσει σε μεταβολή της κατάστασης της επιφάνειας των μονωτήρων. Στην περίπτωση της πορσελάνης προκύπτει ο καθαρισμός αυτής, ενώ στις επικαλύψεις από RTV SIR, όπου ο καθαρισμός είναι δυσκολότερος, παρατηρείται απώλεια της επιφανειακής υδροφοβίας, με αποτέλεσμα την καταγεγραμμένη δραστηριότητα. Είναι πάντως σημαντικό ότι σε κάθε περίπτωση, τα επίπεδα επιφανειακής δραστηριότητας στις επικαλύψεις από RTV SIR ήταν σαφώς χαμηλότερα από αυτά των μονωτήρων πορσελάνης. Στα πλαίσια των μετρήσεων σε πραγματικές συνθήκες, κατέστη δυνατή και η καταγραφή στιγμιότυπων του ρεύματος διαρροής. Στην περίπτωση των μονωτήρων πορσελάνης, προέκυψε ότι το απαιτούμενο ρεύμα για τον σχηματισμό ξηρών ζωνών, εξαρτάται από τον μηχανισμό ύγρανσης. Στην περίπτωση μηχανισμών όπως η συμπύκνωση, ένα ρεύμα της τάξης των 2mA αρκεί. Αντίθετα στην περίπτωση των βροχοπτώσεων έχουν καταγραφεί ρεύματα της τάξης των 15mA, χωρίς σημάδια ανάπτυξης ξηρών ζωνών. Η ανάπτυξη ξηρών ζωνών υποδηλώνεται στην κυματομορφή του ρεύματος από την εμφάνιση διαστημάτων μηδενικού ρεύματος σε κάθε ημιπερίοδο, τα οποία μάλιστα μεσολαβώντας μεταξύ των διαδοχικών εκκενώσεων υποδεικνύουν την ανεξαρτησία αυτών. Τα μη γραμμικά χαρακτηριστικά του ρεύματος στην περίπτωση αυτή αντικατοπτρίζονται στην εμφάνισης μιας συνιστώσας του ρεύματος στα 150Hz. Αυτά ισχύουν για το εύρος των τιμών ρεύματος που κατεγράφησαν στην περίπτωση αυτή (14mA<ILC<140mA). Αντίστοιχα χαρακτηριστικά προκύπτουν και στην περίπτωση των μονωτήρων με επικάλυψη από RTV SIR. Επιπλέον όμως στην περίπτωση αυτή, κατεγράφησαν εκκενώσεις που δεν σχετίζονται με ξηρές ζώνες, αλλά περισσότερο με το ενδεχόμενο διατήρησης υδρόφοβης συμπεριφοράς για τμήματα της επιφάνειας του μονωτήρα. Επιπλέον η αλλοίωση της κυματομορφής του ρεύματος είναι εντονότερη στην περίπτωση αυτή, κάτι που συνεπάγεται υψηλότερα επίπεδα στην αρμονική των 150Hz. Παράλληλα με τις μετρήσεις σε πραγματικές συνθήκες, οι συνθέσεις των υλικών RTV SIR που χρησιμοποιήθηκαν, αξιολογήθηκαν και σε εργαστηριακές συνθήκες. Πραγματοποιήθηκαν δύο δοκιμές σε θάλαμο υδατονέφωσης άλατος, όπου οι συνθήκες καταπόνησης μοιάζουν με το ενδεχόμενο της βροχόπτωσης σε πραγματικές συνθήκες. Από την συμπεριφορά των υλικών στις συγκεκριμένες συνθήκες και τις μετρήσεις που έγιναν, προκύπτει ότι οι συνθέσεις με ΑΤΗ είναι περισσότερο ανθεκτικές, τόσο όσον αφορά το φαινόμενο corona (υδρόφοβη επιφάνεια), όσο και την καταπόνηση από ξηρές ζώνες, στην περίπτωση απώλειας της υδροφοβίας, σε σχέση με αυτές όπου χρησιμοποιείται silica. Η διαφορά οφείλεται στον τρόπο προστασίας που προσφέρει ο κάθε τύπος πρόσμιξης. Πάντως πρέπει να σημειωθεί ότι είναι απαραίτητη η περαιτέρω εργαστηριακή διερεύνηση της επίδρασης του τύπου της πρόσμιξης, όσον αφορά την επίδραση τόσο των εκκενώσεων corona όσο και των εκκενώσεων ξηρών ζωνών. / In the present study the performance of porcelain and RTV SIR coated porcelain insulators has been investigated in field and laboratory conditions, by leakage current measurements. In field conditions, by the use of the appropriate equipment it was possible to continuously monitor a group of twelve 150kV porcelain insulators, installed in two high voltage substations, of the Transmission System in Crete. Ten of them were coated with RTV SIR. In addition simultaneous measurements of meteorological parameters were performed, allowing the correlation of the LC measurements to the environmental conditions. The leakage current measurements performed indicated two periods of intense surface activity. In the case of porcelain, the summer period and especially the months From August to October, represent the period of intense surface activity. During the rest of the year the recorded LC levels are remarkably lower. This monthly distribution comes in agreement with the observed pollution flashovers distribution, for the period 1969-2005. The opposite activity distribution is observed for the RTV SIR coated insulators. In this case the levels of surface activity in the summer period are remarkably low and the period of intense activity for the coatings is observed during the winter. It is worth mentioning however that even in this case the levels of activity are remarkably lower than the corresponding levels in the case of porcelain, for the same time period. The opposite behavior of porcelain and coated porcelain insulators can be correlated to the environmental conditions and especially the wetting mechanism present. During the summer, insulator wetting is possible as the result of two mechanisms, the hydroscopic behavior of the pollution layer and condensation. Both mechanisms are capable of wetting the total leakage creepage distance, without cleaning the insulators surface in the same time. As a result a critical amount of pollution can be formed on the insulator surface, considering also the low levels of precipitation. So in the case of porcelain the formation of surface conductivity is possible in contradiction to the RTV SIR coated insulator, where the formed surface hydrophobicity is maintained. On the other hand during the winter, light precipitation can support the development of surface activity, since it is possible to disturb the surface condition. In the case of porcelain this will result to the cleaning of the surface. However in the case of RTV SIR coatings a loss of hydrophobicity is observed which allows the development of surface activity, considering also that cleaning is more difficult in this case. It is worth noticing however that in all cases the observed activity on the RTV SIR coated insulators is remarkably lower than the corresponding activity in the case of uncoated porcelain insulators. The leakage current waveforms for finite time periods are also included in the information provided by the field measurements performed. In the case of porcelain insulators, the analysis of the corresponding waveforms indicated that the current required for the formation of dry bands depends on the wetting mechanism present. In the case of mechanisms such as condensation, a current in the range of 1 – 2mA is capable to support the formation of dry bands. However in the case of precipitation the necessary current is higher, reaching a level of 15mA. Further the formation of dry bands is reflected to the leakage current waveform by zero current periods which are observed between the current conduction periods. This behavior indicates that the observed activity can be considered as a sequence of independent current pulses. Additionally the FFT analysis correlates the non linear current behavior to an increased 150Hz component. These characteristics have been traced in all the waveforms recorded, in the range from 14mA to 150mA. In the case of RTV SIR coated insulators the recorded waveforms are in large extent similar to the waveforms on the porcelain insulators. However additional phenomena, correlated with the existence of areas which maintain the hydrophobic behavior. In addition the non linear behavior is enhanced in this case, something that results in higher levels of a current component at 150Hz. The performance of the employed RTV SIR coatings was also investigated in laboratory conditions. Two tests were performed in a salt fog chamber, were the stress conditions are similar to the conditions observed in the case of light rain. The material performance observed and the corresponding measurements performed in both tests, indicate that the formulations tested, the endurance of the ATH filled coatings is higher than the silica filled, both in the case of corona and dry band discharge stress. The difference observed can be correlated with the action of each filler type. However the influence of the filler action needs to be further investigated.

Multiple computational algorithms were developed for analyzing ChIP-seq datasets of histone modifications. For basic ChIP-seq data processing, the problems of ambiguous short sequence read mapping and broad peak calling of diffuse ChIP-seq signals were solved by novel statistical methods. Their performance was systematically evaluated compared with existing approaches. The potential utility of finding meaningful biological information was demonstrated by the applications on real datasets. For biological question driven data mining, several important topics were selected for algorithm developments, including hypothesis-driven insulator prediction, unbiased chromatin boundary element discovery and combinatorial histone modification signature inference. The integrative computational pipeline for insulator prediction not only produced a list of putative insulators but also recovered specific associated chromatin and functional features. Selected predictions have been experimentally validated. The unbiased chromatin boundary element prediction algorithm was feature-free and had the capability to discover novel types of boundary elements. The predictions found a set of chromatin features and provided the first report of tRNA-derived boundary elements in the human genome. The combinatorial chromatin signature algorithm employed chromatin profile alignments for unsupervised inferences of histone modification patterns. The signatures were associated with various regulatory elements and functional activities. Both the computational advantages and the biological discoveries were discussed.

The thesis discusses the findings of an investigation into the use of novel condition monitoring techniques for oil-paper insulated high voltage equipment as used on the Eskom Main Transmission System. This research into the monitoring of the condition of high voltage (RV) insulation was undertaken because of the high failure rate of high voltage current transformers (eT's) and transformer bushings on the Eskom Transmission National Grid. These failures reached unacceptably high levels in the 1990's. The extent of failures has been quantified and was the driving motivation behind this research. Techniques for the condition assessment and condition monitoring of oil-paper filled high voltage equipment have traditionally focused on off-line techniques, in particular off-line tan delta measurements. This requires that the equipment be removed from service temporarily, but at widely spaced intervals before a measurement may be taken (typically every 3 to 6 years). Such techniques will not be able to detect faulty equipment where the insulation integrity deteriorates rapidly, resulting in catastrophic failure with risk to both adjoining equipment and personnel. The need for an on-line technique for detecting deteriorating insulation prior to failure was identified in the early 1990's and various systems were developed. This research investigation has focussed on assessing the use of on-line relative tan delta monitoring of RV insulation and compares this to off-line monitoring. In particular, the ability of such a relative tan delta measurement system to detect deteriorating oil-paper insulation has been assessed. The investigation has included the design, construction and commissioning of a dedicated test facility located at Eskom's Tugela substation. This test facility is unique in the world. This test facility has resulted in a number of experiments that have provided invaluable insight into possible failure modes of oil-filled high voltage equipment and the ability of on-line techniques to detect rapid failure modes has been carefully assessed. Further assessment of the on-line monitoring systems was also undertaken at various Eskom operational installations. The results of these tests and operational monitoring are addressed in this research. The research work and its findings are assessed against published literature and global activity in this important area. / Thesis (M.Sc.-Eng.)-University of KwaZulu-Natal, Durban, 2004.

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