Studies of braided non-Abelian anyons using anyonic tensor networks

The content of this thesis can be broadly summarised into two categories: first, I constructed modified numerical algorithms based on tensor networks to simulate systems of anyons in low dimensions, and second, I used those methods to study the topological phases the anyons form when they braid around one another. In the first phase of my thesis, I extended the anyonic tensor network algorithms, by incorporating U(1) symmetry to give a modified ansatz, Anyon-U(1) tensor networks, which are capable of simulating anyonic systems at any rational filling fraction. In the second phase, I used the numerical methods to study some models of non-Abelian anyons that naturally allows for exchange of anyons. I proposed a lattice model of anyons, which I dubbed anyonic Hubbard model, which is a pair of coupled chains of anyons (or simply called anyonic ladder). Each site of the ladder can either host a single anyonic charge, or it can be empty. The anyons are able to move around, interact with one another, and exchange positions with other anyons, when vacancies exist. Exchange of anyons is a non-trivial process which may influence the formation of different kinds of new phases of matter. I studied this model using the two prominent species of anyons: Fibonacci and Ising anyons, and made a number of interesting discoveries about their phase diagrams. I identified new phases of matter arising from both the interaction between these anyons and their exchange braid statistics.Comment: 150 pages, PhD thesis, Macquarie University, Sydney. Chapter 6 of this thesis titled "Phase transitions in braided non-Abelian anyonic system" contains results which are yet to be finalised and publishe

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A description of the results of the cross platform (385 K CGH and SNP50 chip) verification of CNV regions [72, 73]. (PDF 8 kb

Additional file 3: of Genomic prediction and genome-wide association study for dagginess and host internal parasite resistance in New Zealand sheep

Output of protein domain matches from InterProScan 5 search of the 100kbp window around SNP s22390 located at OAR15: 40210579 on OARv3.1. (CSV 110 kb

Additional file 2: Table S1. of Construction of relatedness matrices using genotyping-by-sequencing data

Barcode sequence, common adapters and PCR primers used. (XLSX 14 kb

Boletín de Segovia: Número 135 - 1841 noviembre 11

Copia digital. Madrid : Ministerio de Cultura. Subdirección General de Coordinación Bibliotecaria, 200

Additional file 2: of Genetic diversity of a New Zealand multi-breed sheep population and composite breeds’ history revealed by a high-density SNP chip

Average linkage disequilibrium (r2) between adjacent SNP pairs by chromosome and per each sire breed-group. (DOCX 14 kb

Additional file 1: of Genetic diversity of a New Zealand multi-breed sheep population and composite breeds’ history revealed by a high-density SNP chip

Genetic resources: composite breeds’ history. (DOCX 19 kb

Additional file 3: of Genetic diversity of a New Zealand multi-breed sheep population and composite breeds’ history revealed by a high-density SNP chip

Ancestral and recent effective population size. (DOCX 17 kb

Guerra y Nación. La guerra civil colombiana de 1851

The relations between wars and processes of social structuring have a relevant place in social sciences. This article refers to the colombian civil war of 1851, as the stage for the construction of the Nation-State, from its political and social determinants, the political and military actions of the parties, the regional elites, the clergy, the people, and the implications of the war in the context at the time in the XIXth Century. The sources for this analysis are memoirs, chronicles, official correspondence, and press.Las relaciones entre guerras y procesos de estructuración social ocupan un lugar importante en las ciencias sociales. Este artículo aborda la guerra civil colombiana de 1851 como escenario de construcción del Estado-nación, desde la perspectiva de sus determinantes políticos y sociales, las acciones político-militares de los partidos, las élites regionales, el clero, los sectores populares y las implicaciones de la guerra en el contexto del medio siglo XIX. Las fuentes de análisis son memorias, crónicas, correspondencia oficial y prensa