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2015

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A Real Time Radio Spectrum Scanning Technique Based On The Bayesian Model And Its Comparison With The Frequentist Technique, Sriram Subramaniam Jan 2015

A Real Time Radio Spectrum Scanning Technique Based On The Bayesian Model And Its Comparison With The Frequentist Technique, Sriram Subramaniam

Theses and Dissertations

The proliferation of mobile devices led to an exponential demand for wireless radio spectrum resources. The current fixed spectrum assignment has caused some portions of the radio spectrum to be heavily used whereas others to be scarcely used. This has resulted in underutilization of spectrum resources, and, hence has demanded the need for solutions to address the spectrum scarcity problem. Cognitive radio was proposed as one of the solutions. One of the techniques involved in cognitive radio is the dynamic spectrum access technique. This technique requires the identification of free channels in order to allow secondary users to exploit the …


Examining Openness To Pedagogical Change Among Secondary Mathematics Teachers: Developing And Testing A Structural Model, Cathy J. Williams Jan 2015

Examining Openness To Pedagogical Change Among Secondary Mathematics Teachers: Developing And Testing A Structural Model, Cathy J. Williams

Theses and Dissertations

Widespread adoption of the Common Core State Standards for Mathematics (NGA & CCSSO, 2010) and other career and college readiness standards have prompted changes in the pedagogical practices of secondary mathematics teachers in the United States. The purpose of this study was to examine factors contributing to a math teacher’s willingness to alter pedagogical approaches. Key to the research was development of an instrument for measuring openness to change. The survey tool was created based on constructs drawn from the literature and was emailed to secondary mathematics teachers in the United States

(N = 571). The instrument consisted of 65 …


Critical Evaluations Of Modis And Misr Satellite Aerosol Products For Aerosol Modeling Applications, Yingxi Shi Jan 2015

Critical Evaluations Of Modis And Misr Satellite Aerosol Products For Aerosol Modeling Applications, Yingxi Shi

Theses and Dissertations

The study of uncertainties in satellite aerosol products is essential to aerosol

data assimilation and modeling efforts. In this study, with the assistance of ground- based observations, uncertainties in Moderate Resolution Imaging Spectroradiometer (MODIS) collection 5 Deep Blue (DB), Multi-Angle Imaging Spectroradiometer (MISR) version 22 aerosol products, and the newly released collection 6 Dark Target over-ocean and DB products were evaluated. For each product, systematic biases were analyzed against observing conditions. Empirical correction procedures and data filtering steps were generated to develop noise and bias reduced DA-quality aerosol products for modeling related applications.

Special attention was also directed at the …


Functional Motifs In Siamese, A Plant Cyclin-Dependent Kinase Inhibitor, Narender Kumar Jan 2015

Functional Motifs In Siamese, A Plant Cyclin-Dependent Kinase Inhibitor, Narender Kumar

LSU Doctoral Dissertations

SIAMESE (SIM) and SIAMESE-RELATED-PROTEIN1 (SMR1), the founding members of the SIM/SMRs gene family, suppress mitosis and onset of endoreplication in the Arabidopsis’s trichome and sepal development, respectively, and hence have been suggested to be CDK inhibitors. In this study, I have investigated the exact role of SIM and SMRs and their evolutionarily conserved function throughout land plant evolution. Using split luciferase complementation (SLC), I have shown that both SIM and a distantly related a bryophyte “Physcomitrella patens” SMR (pSMR1) interacts with multiple types of Cyclin Dependent Kinases (CDKs). I have multiple lines of evidence that establish SIM and SMRs as …


Evolutionary Relationships Among Fungal Soybean Pathogens And Molecular Marker Development In The Genus Cercospora, Sebastian Albu Jan 2015

Evolutionary Relationships Among Fungal Soybean Pathogens And Molecular Marker Development In The Genus Cercospora, Sebastian Albu

LSU Doctoral Dissertations

Cercospora leaf blight (CLB) and purple seed stain (PSS) are common soybean diseases in the Gulf South of the United States (USA). For nearly a century, Cercospora kikuchii has been considered as the only pathogen causing these diseases. However, previous reports of genetic diversity among isolates collected throughout Louisiana suggested the presence of multiple lineages or species. Recent systematic studies classified species of Cercospora using a taxonomic system based on phylogenetic analysis of five nuclear loci (legacy genes). Using a similar approach, cercosporoid fungi tentatively identified as C. kikuchii were evaluated along with 53 other species of Cercospora. No …


A Quantitative Study Using Constructist Learning Activities To Connect Biology Concepts To Local Environmental Issues In A Non-Major Introductory College Biology Course, Michaelyn Broussard Jan 2015

A Quantitative Study Using Constructist Learning Activities To Connect Biology Concepts To Local Environmental Issues In A Non-Major Introductory College Biology Course, Michaelyn Broussard

LSU Doctoral Dissertations

Among the general population, there has continued to be a struggle to improve environmental literacy with the knowledge, attitude, and awareness of basic environmental issues locally and nationally. Despite efforts through many formal and informal programs, the result nationally has indicated little to no understanding of basic environmental issues (Coyle, 2005). Many educators such as Sobel (1996, 2004) and Louv (2005) have documented the lack of positive outdoor experiences or environmental behaviors. The purpose of this study was to incorporate local environmental examples through constructivist learning techniques within a general biology non-major course to promote an increase in environmental literacy …


Development Of A High Performance Mosaicing And Super-Resolution Algorithm, Debabrata Ghosh Jan 2015

Development Of A High Performance Mosaicing And Super-Resolution Algorithm, Debabrata Ghosh

Theses and Dissertations

In this dissertation, a high-performance mosaicing and super-resolution algorithm is described. The scale invariant feature transform (SIFT)-based mosaicing algorithm builds an initial mosaic which is iteratively updated by the robust super resolution algorithm to achieve the final high-resolution mosaic. Two different types of datasets are used for testing: high altitude balloon data and unmanned aerial vehicle data. To evaluate our algorithm, five performance metrics are employed: mean square error, peak signal to noise ratio, singular value decomposition, slope of reciprocal singular value curve, and cumulative probability of blur detection. Extensive testing shows that the proposed algorithm is effective in improving …


Social Media Networks: The Social Influence Of Sentiment Content In Online Conversations On Dynamic Patterns Of Adoption And Diffusion, Tung Cu Jan 2015

Social Media Networks: The Social Influence Of Sentiment Content In Online Conversations On Dynamic Patterns Of Adoption And Diffusion, Tung Cu

LSU Doctoral Dissertations

The current study is focusing on diffusion and adoption of new digital artifacts. The goal is to explore the social role of user-generated content (UGC) during the diffusion process of digital artifacts in the context of online social networks. The study spans a wide range of analytics methods and tools such as predictive modeling, latent sentiment analysis, data retrieval, and other tools of time-series analysis & visualization. Data collection is conducted on 260 new digital products and more than 105 thousand social network nodes. Results of the study provide a deeper insight into the influence of textual UGC sentiment on …


Transmembrane Signaling And Conformational Regulation Of Integrin, Ping Hu Jan 2015

Transmembrane Signaling And Conformational Regulation Of Integrin, Ping Hu

LSU Doctoral Dissertations

Integrins are heterodimeric cell adhesion molecules that play an essential role in hemostasis, thrombosis, cell migration, and can transmit bidirectional signals. The inside-out activating signal triggers integrin conformational change, leading to high affinity for extracellular ligands. Binding of extracellular matrix ligands to integrins results in outside-in signaling that leads to formation of focal adhesion (FA) complex at the integrin cytoplasmic tails and activation of downstream signal pathways. Transmembrane/cytoplasmic domains are hypothesized to associate in resting integrins, whereas ligand binding and intracellular activating signals induce transmembrane domain separation. However, how this conformational change affects integrin outside-in signaling and whether the á …


Product Parameters Optimization For Double Purge Of C-Magma Integrated With Conventional Three-Boiling Crystallization Scheme To Improve Raw Sugar Whole Color, Luz Stella Polanco Jan 2015

Product Parameters Optimization For Double Purge Of C-Magma Integrated With Conventional Three-Boiling Crystallization Scheme To Improve Raw Sugar Whole Color, Luz Stella Polanco

LSU Doctoral Dissertations

Efficient crystallization in raw sugar production is the result of a combination of factors and responses that meet specific criteria. Matching a sugar quality standard, maximizing sugar yield, maximizing crystallization equipment capacity and minimizing heat requirement are all necessary optimization criteria. A double centrifugation or purge of C-magma is intended to improve raw sugar whole color by the reduction of color recirculation with the sugar crystal. Combining a three boiling crystallization scheme with a second centrifugation after the last crystallization stage required optimizing the input/output product parameters (purities) and the location of the liquid recycle component (double purge molasses) for …


Partial Cosine-Funk Transforms At Poles Of The Cosine-Λ Transform On Grassmann Manifolds, Christopher Adam Cross Jan 2015

Partial Cosine-Funk Transforms At Poles Of The Cosine-Λ Transform On Grassmann Manifolds, Christopher Adam Cross

LSU Doctoral Dissertations

The cosine-λ transform, denoted Cλ, is a family of integral transforms we can define on the sphere and on the Grassmannian manifolds of p-dimensional subspaces in Kn where K is R, C or the skew field H of quaternions. We treat the Grassmannians as the symmetric spaces SO(n)/S(O(p) × O(q)), SU(n)/S(U(p) × U(q)) and Sp(n)/(Sp(p) × Sp(q)) and we work by analogy with the case of the cosine-λ transform on the sphere, which is also a symmetric space.

The family Cλ extends meromorphically in λ to the complex plane with poles at (among other values) λ …


Sourcing And Framing Analysis Of Source Messages In The Coverage Of Armed Conflicts By American And British Foreign Reporters, Ellada Gamreklidze Jan 2015

Sourcing And Framing Analysis Of Source Messages In The Coverage Of Armed Conflicts By American And British Foreign Reporters, Ellada Gamreklidze

LSU Doctoral Dissertations

This dissertation contributes to closing several gaps in mass communication scholarship as well as indicates new avenues for further research in the area of sourcing and framing. This study explored whether reliance on official sources in foreign reporting of international crises is as heavy as the hypothesis predicts, and, by studying messages delivered by official sources in this coverage, revealed how those messages were framed. The results showed that officials were dominant sources of information in all the three media outlets studied. The results also supported the argument that the same indexing mechanisms are at force in foreign reporting and …


A Monte Carlo Approach To Studying The Hydrogen Storage Capabilities Of Potassium Magnesium Hydride (Kmgh3), Brandon L. Borill Jan 2015

A Monte Carlo Approach To Studying The Hydrogen Storage Capabilities Of Potassium Magnesium Hydride (Kmgh3), Brandon L. Borill

LSU Doctoral Dissertations

Grand Canonical Monte Carlo (GCMC) simulations and the weighted histogram analysis method (WHAM) were employed at selected temperatures and pressures in the study of the hydrogen storage capabilities of KMgH3. A specially tailored addition/removal algorithm was employed to add hydrogen directly at the lattice sites. Agreement between experimental results was obtained through GCMC simulations. WHAM type studies were employed to obtain probability distributions for the purpose of learning the probability of finding hydrogen atoms at specific temperatures and hydrogen pressures. The radial distribution function was employed to study the changes in the structure of KMgH3 for the selected model as …


First-Principles And Many-Body Methods: Implementations And Applications To Study Spintronic Materials, Ryky Nelson Jan 2015

First-Principles And Many-Body Methods: Implementations And Applications To Study Spintronic Materials, Ryky Nelson

LSU Doctoral Dissertations

Diluted magnetic semiconductors (DMSs) and magnetoresistive materials are instrumental for the development of spintronic technology. Before we are able to engineer spintronic devices, it is necessary to understand the properties of materials from which spintronic devices are made, otherwise time and other resources will be wasted. In this thesis, we investigate some aspects of diluted magnetic semiconductors and a magnetoresistive material Ta2PdSe6 with first-principle and many-body methods. Particularly, we investigate the Mn valence in (Ga,Mn)N and derive low-energy models of (Ga,Mn)N by making use of a first-principles Wannier-function analysis. Additionally, we also study the disorder-driven localization in DMSs with the …


Evaluating Technical Adequacy Features Of Sentence Verification Technique As A General Outcome Measure Of Content Knowledge, Ren&Eacutee E. Lastrapes Jan 2015

Evaluating Technical Adequacy Features Of Sentence Verification Technique As A General Outcome Measure Of Content Knowledge, Ren&Eacutee E. Lastrapes

LSU Doctoral Dissertations

Once students have mastered the mechanics of reading, they are expected to learn new material by reading. This new material, however, becomes increasingly more complex as students enter upper elementary and especially middle and high school. If students fail to comprehend what they read, they risk failure in content courses such as science and social studies. Early assessment of risk and appropriate response to that risk is a goal of effective education. One problem with the risk reduction sequence is that there are limited formative assessments that have been validated as technically adequate for assessing content knowledge. The present study …


A Domesticated Idea: British Women Writers And The Victorian Recipe, 1845-1910, Helana E. Brigman Jan 2015

A Domesticated Idea: British Women Writers And The Victorian Recipe, 1845-1910, Helana E. Brigman

LSU Doctoral Dissertations

Until recently, critics have devalued the Victorian cookbook as an object of literary inquiry, regularly dismissing it as “Victoriana”—cultural, anthropological histories detailing bland culinary traditions. A Domesticated Idea: British Women Writers and the Victorian Recipe, 1845-1910 seeks to provide a framework by which we can explore the Victorian cookbook as a literary text appropriated by writers responding to and advocating for cultural, educational, and artistic reform during the mid-to-late nineteenth century. Looking specifically at how women used recipes to discuss food preparation, dining, and household management, I argue that British women writers participated in a collaborative tradition, borrowing and sharing …


The Use Of Geographic Information Systems And Ecological Niche Modeling To Map Transmission Risk For Visceral Leishmaniasis In Bahia, Brazil, Moara De Santana Martins Jan 2015

The Use Of Geographic Information Systems And Ecological Niche Modeling To Map Transmission Risk For Visceral Leishmaniasis In Bahia, Brazil, Moara De Santana Martins

LSU Doctoral Dissertations

Leishmaniasis is a public health problem in Brazil, and despite the control programs in place, Bahia remains one of the states with the highest incidence rates of cutaneous leishmaniasis (CL) and visceral leishmaniasis (VL). This study proposed to develop and evaluate the applicability of ecological niche models (ENM) for leishmaniasis, to determine the influence of environmental and socioeconomic factors on the incidence of these diseases at three geographic scales: national, statewide and community. Water availability, garbage collection, precipitation and temperature were the most important variables in predicting areas suitable for VL and CL in the country. The extensive geography of …


Money, Power, Respect: Philanthropic Giving Of African American Alumni Of Predominately White Institutions, Melvin Jonathan Jackson Jan 2015

Money, Power, Respect: Philanthropic Giving Of African American Alumni Of Predominately White Institutions, Melvin Jonathan Jackson

LSU Doctoral Dissertations

As colleges and universities throughout the United States face economic downturns that translate into budget reductions, hiring freezes, and academic program dissolution, it is becoming increasingly more pertinent to secure valuable alumni donations to meet the financial and budgetary needs of these institutions. African American alumni of Predominately white Institutions (PWIs) have often been an overlooked resource for colleges and universities soliciting philanthropic donations. This study will explore the relationship between African American alumni and their Predominately white alma maters and how this relationship affects philanthropic giving to the institutions. In addition to exposing the stimulus for giving to their …


The Influence Of The Lower Trapezius Muscle On Shoulder Impingement And Scapula Dyskinesis, Christian Louque Coulon Jan 2015

The Influence Of The Lower Trapezius Muscle On Shoulder Impingement And Scapula Dyskinesis, Christian Louque Coulon

LSU Doctoral Dissertations

This dissertation contains three experiments all conducted in an outpatient physical therapy setting. Shoulder impingement is a common problem seen in overhead athletes and other individuals and associated changes in muscle activity, biomechanics, and movement patterns have been observed in this condition. Differentially diagnosing impingement and specifically addressing the underlying causes is a vital component of any rehabilitation program and can facilitate the individuals return to normal function and daily living. Current rehabilitation attempts to facilitate healing while promoting proper movement patterns through therapeutic exercise and understanding each shoulder muscles contribution is vitally important to treatment of individuals with shoulder …


Consumer Mutations: Mediated Subjectivities Of The Incipient Digital Age, Aaron Duplantier Jan 2015

Consumer Mutations: Mediated Subjectivities Of The Incipient Digital Age, Aaron Duplantier

LSU Doctoral Dissertations

In this dissertation, I argue that out of postmodernity, subjectivity has seen distinct mutations inflected by consumer technology. As postmodern mediators of ordinary people, reality TV, Facebook, and YouTube are steeped in concerns about authenticity. Reality TV, for example, cannot escape its authenticity problem because of the conventional hierarchy of production it maintains, a hierarchy that prompts consumer skepticism regarding its truth value. However, seemingly democratic Internet platforms, such as Facebook and YouTube, promise consumer engagement in which users can break down those hierarchical barriers preventing authentic expression. Under the guise of presumed mediational accuracy, the resulting feedback loop between …


Does The Pcaob Inspection Have An Effect On Audit Fees And Audit Quality?, Elizabeth Schwartzhoff Johnson Jan 2015

Does The Pcaob Inspection Have An Effect On Audit Fees And Audit Quality?, Elizabeth Schwartzhoff Johnson

LSU Doctoral Dissertations

I investigate the effects of the issuance of the PCAOB Part II report on audit fees and audit quality. The PCAOB replaced the peer review auditor program with an independent inspection of audit firms. Upon completion of each inspection, the PCAOB issues inspection reports that include a public portion (Part I) of identified audit deficiencies, and most include a nonpublic portion (Part II) of identified quality control weaknesses which is not disclosed publicly unless the audit firm does not sufficiently complete remediation during the next 12 months. Upon issuance of the Part II report, I find that audit firms experience …


Motor Learning Effects Of Two Types Of Stressors: Implications For Practice Specificity, Christopher Adam Aiken Jan 2015

Motor Learning Effects Of Two Types Of Stressors: Implications For Practice Specificity, Christopher Adam Aiken

LSU Doctoral Dissertations

Various types of stress have been found to have both positive and negative effects on motor performance (Szalma & Hancock, 2011; Van Gemmert & Van Galen, 1997). One potential explanation for these diverse findings is that stress increases the amount of neuromotor noise in the system (Van Gemmert, 1997). Low levels of stress may have an activating effect on the system which may improve motor performance whereas larger levels of stress decrease motor performance. Research has also suggested that increases in stress increase effort (Hockey, 1997) which may in turn facilitate motor learning (Lee, Swinnen, & Serrien, 1994). The primary …


The Relationship Between Supervision, Job Satisfaction, And Burnout Among Live-In And Live-On Housing And Residence Life Professionals, Tracy Latonya Reed Jan 2015

The Relationship Between Supervision, Job Satisfaction, And Burnout Among Live-In And Live-On Housing And Residence Life Professionals, Tracy Latonya Reed

LSU Doctoral Dissertations

The current study investigated the relationship between supervision, job satisfaction, and burnout among live-in and live-on Housing and Residence Life professionals. The literature review consists of empirical research for each construct presented (supervision, job satisfaction, and burnout). The study sample consisted of live-in and live-on Housing and Residence Life professionals employed at colleges and universities across the United States and abroad. Multiple regression and Multivariate analyses were used to answer specific research questions. Results confirmed that there was a statistically significant relationship between supervision, job satisfaction, and burnout. Findings are thoroughly reviewed and compared to previous research in the field. …


A Market-Based Approach For Valuing Ecosystem Services On Coastal Properties, Michelle A. Savolainen Jan 2015

A Market-Based Approach For Valuing Ecosystem Services On Coastal Properties, Michelle A. Savolainen

LSU Doctoral Dissertations

As part of ongoing efforts to assess ecosystem services provided by wetlands, this research focuses on estimating the private monetary value of wetland services to residential property owners in Louisiana and Alabama using a hedonic price model. Understanding that tradeoffs must be made with limited resources, valuing ecosystem services is important for policy and decision making purposes, such as determining how much public and private financial resources should be put towards wetland maintenance and restoration. Data on property transactions, wetland coverage, and built infrastructure were collected for the analysis. Based on theory and results from a Box-Cox model, the log-linear …


All The Science That Is Fit To Blog: An Analysis Of Science Blogging Practices, Paige Brown Jarreau Jan 2015

All The Science That Is Fit To Blog: An Analysis Of Science Blogging Practices, Paige Brown Jarreau

LSU Doctoral Dissertations

This dissertation examines science blogging practices, including motivations, routines and content decision rules, across a wide range of science bloggers. Previous research has largely failed to investigate science blogging practices from science bloggers’ perspective or to establish a sociological framework for understanding how science bloggers decide what to blog about. I address this gap in previous research by conducting qualitative in-depth interviews with 50 science bloggers and an extensive survey of blogging motivations, approaches, content decisions rules, values and editorial constraints for over 600 active science bloggers. Results reveal that science blog content is shaped heavily by not only individual …


Has Teacher Tenure’S Time Passed?, Charles J. Russo Jan 2015

Has Teacher Tenure’S Time Passed?, Charles J. Russo

Educational Leadership Faculty Publications

A recent trial court order (Vergara v. State of California 2014), which Governor Jerry Brown has already appealed (Nagourney 2014), has sent shock waves through the ranks of teachers and their unions because it threatens what is perhaps educators’ most cherished prize: tenure.

In Vergara, the court invalidated five statutes addressing tenure, procedural safeguards relating to teacher dismissal, and seniority as violating the equal protection clause in the California constitution. The court ruled that the challenged laws “impose a real and appreciable impact on students’ fundamental right to equality of education and that they impose a disproportionate burden on poor …


Green Bank Telescope And Swift X-Ray Telescope Observations Of The Galactic Center Radio Magnetar Sgr J1745–2900, Ryan S. Lynch, Robert F. Archibald, Victoria M. Kaspi, Paul Scholz Jan 2015

Green Bank Telescope And Swift X-Ray Telescope Observations Of The Galactic Center Radio Magnetar Sgr J1745–2900, Ryan S. Lynch, Robert F. Archibald, Victoria M. Kaspi, Paul Scholz

Faculty & Staff Scholarship

We present results from eight months of Green Bank Telescope 8.7 GHz observations and nearly 18 months of Swift X-ray telescope observations of the radio magnetar SGR J1745–2900. We tracked the radio and X-ray flux density, polarization properties, profile evolution, rotation, and single-pulse behavior. We identified two main periods of activity. The first is characterized by approximately 5.5 months of relatively stable evolution in radio flux density, rotation, and profile shape, while in the second these properties varied substantially. Specifically, a third profile component emerged and the radio flux also became more variable. The single pulse properties also changed, most …


Social Functioning In Schizotypy: An Exploration Of Communicative Effectiveness Through Speech Analysis And Observer Rated Performance In A Socially Demanding Task, Tracey Lauren Auster Jan 2015

Social Functioning In Schizotypy: An Exploration Of Communicative Effectiveness Through Speech Analysis And Observer Rated Performance In A Socially Demanding Task, Tracey Lauren Auster

LSU Doctoral Dissertations

Individuals with schizotypal traits have demonstrated sub-clinical symptoms of psychosis (e.g. perceptual disturbances, self-reported social functioning impairment, self-reported memory problems, and delusions). However, the evidence has been mixed regarding what impairments exist, particularly with regards to social functioning domains. As schizotypy is posited to reflect an underlying vulnerability for development of clinical levels of psychosis/risk conversion, individuals with these traits are an important group to study in order to identify these vulnerabilities. Research has indicated that current measures of social functioning (whether they are localized objective measures of verbal and non-verbal communication or global self-report of functioning) are missing some …


Dwelling Poetically, Proceeding Orphically: The Platonic Tradition And The Heideggerian Humanism Of Ernesto Grassi, Geoffrey Alexander Leeves Bain Jan 2015

Dwelling Poetically, Proceeding Orphically: The Platonic Tradition And The Heideggerian Humanism Of Ernesto Grassi, Geoffrey Alexander Leeves Bain

LSU Doctoral Dissertations

Martin Heidegger exerted an immense influence over twentieth century thought by providing profound insights into the nature of Being as well as scathing social critiques, focused on the destructive force of late modern technological reductionism. As part of Heidegger’s project, he elaborated upon a sophisticated history of Being in which two great monsters of Platonism and Humanism are cast as Antichrist and False Prophet. Subsequently, however, his own student Ernesto Grassi argued that Renaissance Humanism was not a stepping stone towards subjectivism and technological thinking, but rather stood in conformity with the fundamental essence of Heidegger’s own project. This study …


Towards The Realization Of Systematic, Self-Consistent Typical Medium Theory For Interacting Disordered Systems, Chinedu Ekuma Ekuma Jan 2015

Towards The Realization Of Systematic, Self-Consistent Typical Medium Theory For Interacting Disordered Systems, Chinedu Ekuma Ekuma

LSU Doctoral Dissertations

This work is devoted to the development of a systematic method for studying electron localization. The developed method is Typical Medium Dynamical Cluster Approximation (TMDCA) using the Anderson-Hubbard model. The TMDCA incorporates non-local correlations beyond the local typical environment in a self-consistent way utilizing the momentum resolved typical-density-of-states and the non-local hybridization function to characterize the localization transition. For the (non-interacting) Anderson model, I show that the TMDCA provides a proper description of the Anderson localization transition in one, two, and three dimensions. In three-dimensions, as a function of cluster size, the TMDCA systematically recovers the re-entrance behavior of the …