Year: 2010
Type: dissertation
Abstract: In this thesis we present details of the design, development and\napplication of a large scale exact diagonalisation code named\nDoQO (Diagonalisation of Quantum Observables). Among the\nfeatures of this code are its ability to exploit physical symmetries\nand the fact that it has been designed to run in parallel\nto take advantage of modern high performance computing resources.\nThe primary motivation for developing this code has\nbeen the investigation of exotic phases in quantum lattice models,\nand in particular of topological phases. A signicant portion\nof the thesis concerns the investigation of supersymmetric lattice\nmodels, which involves signicant use of the developed DoQO\ncode. These are a relatively new (2003) family of models consisting\nof spinless fermions hopping on a lattice with the interactions\ntuned to a point where the spectrum exhibits supersymmetry.\nThese models are extremely rich in the physics that they exhibit.\nAmong the phases believed to exist in these models are critical,\nsuper-frustrated and super-topological phases. DoQO was also\nemployed to investigate nite size eects in the Kitaev honeycomb\nlattice model. This is a spin model which exhibits both\nabelian and non abelian topological phases.
Author: Niall Moran
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W205732035