Majorana fermions in superconducting wires: Effects of long-range hopping, broken time-reversal symmetry, and potential landscapes

We present a comprehensive study of two of the most experimentally relevant extensions of Kitaev's spinless model of a one-dimensional p-wave superconductor: those involving (i) longer-range hopping and superconductivity and (ii) inhomogeneous potentials. We commence with a pedagogical review of the spinless model and, as a means of characterizing topological phases exhibited by the systems studied here, we introduce bulk topological invariants as well as those derived from an explicit consideration of boundary modes. In time-reversal symmetric systems, we find that the longer range hopping leads to topological phases characterized by multiple Majorana modes. In particular, we investigate a spin model that respects a duality and maps to a fermionic model with multiple Majorana modes; we highlight the connection between these topological phases and the broken symmetry phases in the original spin model. In the presence of time-reversal symmetry breaking terms, we show that the topological phase diagram is characterized by an extended gapless regime. For the case of inhomogeneous potentials, we explore phase diagrams of periodic, quasiperiodic, and disordered systems. We present a detailed mapping between normal state localization properties of such systems and the topological phases of the corresponding superconducting systems. This powerful tool allows us to leverage the analyses of Hofstadter's butterfly and the vast literature on Anderson localization to the question of Majorana modes in superconducting quasiperiodic and disordered systems, respectively. We briefly touch upon the synergistic effects that can be expected in cases where long-range hopping and disorder are both present.

Integrating biodiversity and conservation with modern agricultural landscapes

To achieve food security and meet the demands of the ever-growing human populations, farming systems have assumed unsustainable practices to produce more from a finite land area. This has been cause for concern mainly due to the often-irreversible damage done to the otherwise productive agricultural landscapes. Agro-ecology is proclaimed to be deteriorating due to eroding integrity of connected ecological mosaics and vulnerability to climate change. This has contributed to declining species diversity, loss of buffer vegetation, fragmentation of habitats, and loss of natural pollinators or predators, which eventually leads to decline in ecosystem services. Currently, a hierarchy of conservation initiatives is being considered to restore ecological integrity of agricultural landscapes. However, the challenge of identifying a suitable conservation strategy is a daunting task in view of socio-ecological factors that may constrain the choice of available strategies. One way to mitigate this situation and integrate biodiversity with agricultural landscapes is to implement offset mechanisms, which are compensatory and balancing approaches to restore the ecological health and function of an ecosystem. This needs to be tailored to the history of location specific agricultural practices, and the social, ecological and environmental conditions. The offset mechanisms can complement other initiatives through which farmers are insured against landscape-level risks such as droughts, fire and floods. For countries in the developing world with significant biodiversity and extensive agriculture, we should promote a comprehensive model of sustainable agricultural landscapes and ecosystem services, replicable at landscape to regional scales. Arguably, the model can be a potential option to sustain the integrity of biodiversity mosaic in agricultural landscapes.

Combinatorial selection of molecular conformations and supramolecular synthons in quercetin cocrystal landscapes: a route to ternary solids

The crystallization of 28 binary and ternary cocrystals of quercetin with dibasic coformers is analyzed in terms of a combinatorial selection from a solution of preferred molecular conformations and supramolecular synthons. The crystal structures are characterized by distinctive O-H center dot center dot center dot N and O-H center dot center dot center dot O based synthons and are classified as nonporous, porous and helical. Variability in molecular conformation and synthon structure led to an increase in the energetic and structural space around the crystallization event. This space is the crystal structure landscape of the compound and is explored by fine-tuning the experimental conditions of crystallization. In the landscape context, we develop a strategy for the isolation of ternary cocrystals with the use of auxiliary template molecules to reduce the molecular and supramolecular `confusion' that is inherent in a molecule like quercetin. The absence of concomitant polymorphism in this study highlights the selectivity in conformation and synthon choice from the virtual combinatorial library in solution.

Wild Ungulate Decision-Making and the Role of Tiny Refuges in Human-Dominated Landscapes

Wildlife conservation in human-dominated landscapes requires that we understand how animals, when making habitat-use decisions, obtain diverse and dynamically occurring resources while avoiding risks, induced by both natural predators and anthropogenic threats. Little is known about the underlying processes that enable wild animals to persist in densely populated human-dominated landscapes, particularly in developing countries. In a complex, semi-arid, fragmented, human-dominated agricultural landscape, we analyzed the habitat-use of blackbuck, a large herbivore endemic to the Indian sub-continent. We hypothesized that blackbuck would show flexible habitat-use behaviour and be risk averse when resource quality in the landscape is high, and less sensitive to risk otherwise. Overall, blackbuck appeared to be strongly influenced by human activity and they offset risks by using small protected patches (similar to 3 km(2)) when they could afford to do so. Blackbuck habitat use varied dynamically corresponding with seasonally-changing levels of resources and risks, with protected habitats registering maximum use. The findings show that human activities can strongly influence and perhaps limit ungulate habitat-use and behaviour, but spatial heterogeneity in risk, particularly the presence of refuges, can allow ungulates to persist in landscapes with high human and livestock densities.

Using network mesures to test evolved NK-landscapes

In this paper we empirically investigate which are the structural characteristics that can help to predict the complexity of NK-landscape instances for estimation of distribution algorithms. To this end, we evolve instances that maximize the estimation of distribution algorithm complexity in terms of its success rate. Similarly, instances that minimize the algorithm complexity are evolved. We then identify network measures, computed from the structures of the NK-landscape instances, that have a statistically significant difference between the set of easy and hard instances. The features identified are consistently significant for different values of N and K.

Mechanics of sediment transport and bedrock erosion in steep landscapes

Erosion is concentrated in steep landscapes such that, despite accounting for only a small fraction of Earth’s total surface area, these areas regulate the flux of sediment to downstream basins, and their rugged morphology records transient changes (or lack thereof) in geologic and climatic forcing. Steep landscapes are geomorphically active; large sediment fluxes and rapid landscape evolution rates can create or destroy habitat for humans and wildlife alike, and landslides, debris flows, and floods common in mountainous areas represent a persistent natural and structural hazard. Despite the central role that steep landscapes play in the geosciences and in landscape management, the processes controlling their evolution have been poorly studied compared to lower-gradient areas. This thesis focuses on the basic mechanics of sediment transport and bedrock incision in steep landscapes, as these are the fundamental processes which set the pace and style of landscape evolution. Chapter 1 examines the spatial distribution of slow-moving landslides; these landslides can dominate sediment fluxes to river networks, but the controls on their occurrence are poorly understood. Using a case-study along the San Andreas Fault, California, I show that slow-moving landslides preferentially occur near the fault, suggesting a rock-strength control on landslide distribution. Chapter 2 provides the first field-measurements of incipient sediment motion in streams steeper than 14% and shows a large influence of slope-dependent flow hydraulics and grain-scale roughness on particle motion. Chapter 3 presents experimental evidence for bedrock erosion by suspended sediment, suggesting that, in contrast to prevailing theoretical predictions, suspension-regime transport in steep streams can be the dominant erosion agent. Steep streams are often characterized by the presence of waterfalls and bedrock steps which can have locally high rates of erosion; Chapters 4 and 5 present newly developed, experimentally validated theory on sediment transport through and bedrock erosion in waterfall plunge pools. Finally, Chapter 6 explores the formation of a bedrock slot canyon where interactions between sediment transport and bedrock incision lead to the formation of upstream-propagating bedrock step-pools and waterfalls.

Seasonal Blowfly Distribution and Abundance in Fragmented Landscapes. Is It Useful in Forensic Inference about Where a Corpse Has Been Decaying?

Blowflies are insects of forensic interest as they may indicate characteristics of the environment where a body has been laying prior to the discovery. In order to estimate changes in community related to landscape and to assess if blowfly species can be used as indicators of the landscape where a corpse has been decaying, we studied the blowfly community and how it is affected by landscape in a 7,000 km(2) region during a whole year. Using baited traps deployed monthly we collected 28,507 individuals of 10 calliphorid species, 7 of them well represented and distributed in the study area. Multiple Analysis of Variance found changes in abundance between seasons in the 7 analyzed species, and changes related to land use in 4 of them (Calliphora vomitoria, Lucilia ampullacea, L. caesar and L. illustris). Generalised Linear Model analyses of abundance of these species compared with landscape descriptors at different scales found only a clear significant relationship between summer abundance of C. vomitoria and distance to urban areas and degree of urbanisation. This relationship explained more deviance when considering the landscape composition at larger geographical scales (up to 2,500 m around sampling site). For the other species, no clear relationship between land uses and abundance was found, and therefore observed changes in their abundance patterns could be the result of other variables, probably small changes in temperature. Our results suggest that blowfly community composition cannot be used to infer in what kind of landscape a corpse has decayed, at least in highly fragmented habitats, the only exception being the summer abundance of C. vomitoria.

Traversing digital learning landscapes: an Institutional and faculty case study.

Within the UK, there is a growing awareness to better understand what online educational technologies can offer in relation to learning and teaching, and how social technologies are changing communication and collaboration out with formal education. The concept of the ‘digital university’ is being widely debated within the UK Higher education sector (McCluskey and Winter, 2012), becoming embedded in educational policy, and beginning to be explored within many institutions. This session will report on one such institutional initiative, undertaken at Edinburgh Napier University in Scotland. A Digital Futures Working Group was established to: benchmark best practice in key areas including digitally enhanced education and digital literacies development; identify areas for short term action; and to produce a robust ‘digital agenda’ to inform the future direction of the university. Pivotal to this was the recognition to evolve staff digital pedagogical practices and to harness emerging digital opportunities, meet learner expectations, and meet wider expectations for contemporary able citizens. This session will be delivered in two parts. Firstly we will provide an insight into the focus of the project and the rich picture methodology used to consult with staff and students. Secondly we will specify the outcomes produced, and provide a case study of how the Faculty of Health, Life and Social Sciences engaged with the process and the progression of their digitally enabled educational practices.

Theme and variations: Christianity and regional landscapes in early medieval Ireland

This thesis explores the impact of Christianity on the landscape in Ireland from the conversion period to the coming of the Anglo-Normans. The premise is that ecclesiastical and secular settlement formed a cohesive whole which characterised the societal organisation of early medieval Ireland. The matter of the thesis is to isolate some of the agents of cohesion to see was this homogenous or did it vary in different areas. One of these agents was the ownership of land and the thesis undertakes to identify ecclesiastical landholding and examine the manner of settlement on it. A corollary is to explore the contribution of the genealogical link between kin-group, founding saint and territory to the construction of local identities. This necessitated a narrow focus; thus small study areas were chosen, which approximated to early medieval kingdoms in North Louth, Rathdown, Co Dublin and Ross, Co Cork. A multidisciplinary approach was taken using both archaeological and documentary evidence. The thesis found ecclesiastical sites were at the same density through the study areas, but there were considerable regional variations in related secular settlement. Ecclesiastical estates were identified in the three study areas and common settlement patterns were found in two of them. Settlement in all areas indicated the foundation of minor churches by local groups. Ecclesiastical sites were found to be integral to kin-group identity and status, but the manner in which each group negotiated this, was very different. Finally the thesis examined material evidence for a change from diffused to concentrated power in the political organisation of Irish society, a process entwined with developments of the Viking Age. This centralisation of power and associated re-formation of identity was still often mediated through the ecclesiastical sphere but the thesis demonstrates diversity in the materialising of the mediation.

Landscapes of kingship in early medieval Ireland, AD 400–1150

This thesis explores the evolution of kingship in early medieval Ireland (AD 400–1150) through a kingdom based and multi-scalar approach to royal landscapes. Through exploring the role of place and landscape in the construction of early medieval Irish kingship, this study will assess the relationship between the social, economic and ideological roles of the king in Irish society. Kingship in Ireland was vested in places, such that royal landscapes were the pre-eminent symbol of regality and authority. As such, an interdisciplinary study of kingship grounded in archaeological methodologies has a unique potential to contribute to our knowledge of the practice of kingship. Consequently, this research considers the material apparatus of different scales of kingships and explores the role of landscape in the construction of kingship and the evolution of kingdoms. It takes two major case studies; (i) Cashel, Munster and the Éoganachta federation; and (ii) the Uí Néill, Tara and the Síl nÁedo Sláine kingdom of Brega. Through interdisciplinary methodologies it charts the genesis and development of political federations, focusing specifically on the role that royal landscapes’ played in their evolution. Similarly, this thesis engages critically with the nature of assembly places and practices in Ireland, and focuses specifically on issues pertaining to the nature of assembly and the archaeological manifestation of such practices. It includes a list of 115 landscapes identified as assembly places, and through the analysis of this material, this thesis examines the ways in which different types of royal sites articulated together to create royal landscapes implicated in the exercise of kingship, and the construction and maintenance of authority. Moreover, through the analysis of assembly places within the context of the development of kingdoms, and structures of jurisdiction and administration, it also investigates the evolution of supra-regional scales of identity and community associated with the emergence of major political federations in early medieval Ireland.