Share and Export
Share and Export
Kells, G., Kailasvuori, J., Slingerland, Joost and Vala, Jiri (2011) Kaleidoscope of topological phases with multiple Majorana species. New Journal of Physics (NJP), 13. 095014. ISSN 1367-2630
Preview
Available under License Creative Commons Attribution Non-commercial Share Alike.
Download (2MB) | Preview
Abstract
Exactly solvable lattice models for spins and non-interacting
fermions provide fascinating examples of topological phases, some of them
exhibiting the localized Majorana fermions that feature in proposals for
topological quantum computing. The Chern invariant
ν
is an important
characterization of such phases. Here we look at the square–octagon variant
of Kitaev’s honeycomb model. It maps to spinful paired fermions and enjoys
a rich phase diagram featuring distinct Abelian and non-Abelian phases with
ν
=
0
,
±
1
,
±
2
,
±
3 and
±
4. The
ν
= ±
1 and
ν
= ±
3 phases all support localized
Majorana modes and are examples of Ising and SU
(
2
)
2
anyon theories,
respectively
| Item Type: | Article |
|---|---|
| Keywords: | Kaleidoscope; topological phases; multiple Majorana species; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 4798 |
| Depositing User: | Dr. Joost Slingerland |
| Date Deposited: | 05 Mar 2014 17:16 |
| Journal or Publication Title: | New Journal of Physics (NJP) |
| Publisher: | Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft |
| Refereed: | Yes |
| Related URLs: | |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
Downloads
Downloads per month over past year
Origin of downloads
Repository Staff Only (login required)
- Item control page
