Topological states of matter and noncommutative geometry
Download (1.64 MB)
-
Altmetric Citations
Description
This thesis examines topological states of matter from the perspective of noncommutative geometry and KK-theory. Examples of such topological states of matter include the quantum Hall e ect and topological insulators. For the quantum Hall e ect, we consider a continuous model and show that the Hall conductance can be expressed in terms of the index pairing of the Fermi projection of a disordered Hamiltonian with a spectral triple encoding the geometry of the sample's momentum space. The...[Show more]
Collections | Open Access Theses |
---|---|
Date published: | 2015 |
Type: | Thesis (PhD) |
URI: | http://hdl.handle.net/1885/16960 |
DOI: | 10.25911/5d6cfd6408e6d |
Download
File | Description | Size | Format | Image |
---|---|---|---|---|
Bourne Thesis 2015.pdf | 1.64 MB | Adobe PDF |
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.
Updated: 17 November 2022/ Responsible Officer: University Librarian/ Page Contact: Library Systems & Web Coordinator