11 research outputs found
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
Additional file 2: Table S1. of Construction of relatedness matrices using genotyping-by-sequencing data
Barcode sequence, common adapters and PCR primers used. (XLSX 14Â kb
Boletín de Segovia: Número 135 - 1841 noviembre 11
Copia digital. Madrid : Ministerio de Cultura. Subdirección General de Coordinación Bibliotecaria, 200
Statistical analysis: R code from Male–female relatedness at specific SNP-linkage groups influences cryptic female choice in Chinook salmon (<i>Oncorhynchus tshawytscha</i>)
Statistical analysis: R cod
Extracting genes using gff2fasta.pl from Male–female relatedness at specific SNP-linkage groups influences cryptic female choice in Chinook salmon (<i>Oncorhynchus tshawytscha</i>)
Extracting genes using gff2fasta.p
Supplementary Materials and Methods from Male–female relatedness at specific SNP-linkage groups influences cryptic female choice in Chinook salmon (<i>Oncorhynchus tshawytscha</i>)
Supplementary Materials and Method
Additional file 2: of Genetic diversity of a New Zealand multi-breed sheep population and composite breedsâ 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 14Â kb
Results: Supplementary Figures and Tables from Male–female relatedness at specific SNP-linkage groups influences cryptic female choice in Chinook salmon (<i>Oncorhynchus tshawytscha</i>)
Results: Supplementary Figures and Table
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 breedsâ history revealed by a high-density SNP chip
Ancestral and recent effective population size. (DOCX 17Â kb