Watts, Paul and Vala, Jiri
(2011)
Existence of zero-energy modes in the finite edged Kitaev honeycomb model.
Journal of Statistical Mechanics: Theory and Experiment (P06020).
pp. 1-18.
ISSN 1742-5468
Abstract
We describe how the Kitaev honeycomb model with a finite number
of sites on a torus may be easily generalised to cylindrical and rectangular
topologies using a recently developed fermionisation technique. We then look
for criteria which determine if zero-energy modes exist for these cases in the
absence of an external magnetic field. For the cylindrical case, we determine the
combination of spin–spin coupling strengths and vortex configurations which give
zero modes and construct them explicitly, and for the rectangular case we show
that no zero modes can exist.
| Item Type: |
Article
|
| Additional Information: |
The definitive version of this article is available at Existence of zero-energy modes in the finite edged Kitaev honeycomb model. Watts and J Vala J. Stat. Mech. (2011) P06020 doi:10.1088/1742-5468/2011/06/P06020 |
| Keywords: |
solvable lattice models; zero-energy modes; finite edged Kitaev honeycomb model; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematical Physics |
| Item ID: |
6312 |
| Identification Number: |
https://doi.org/10.1088/1742-5468/2011/06/P06020 |
| Depositing User: |
Dr. Jiri Vala
|
| Date Deposited: |
24 Aug 2015 13:41 |
| Journal or Publication Title: |
Journal of Statistical Mechanics: Theory and Experiment |
| Publisher: |
Institute of Physics |
| Refereed: |
Yes |
| URI: |
|
| 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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