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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
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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: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/4798 |
| 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 |
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