Issue |
EPL
Volume 112, Number 4, November 2015
|
|
---|---|---|
Article Number | 47004 | |
Number of page(s) | 5 | |
Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
DOI | https://doi.org/10.1209/0295-5075/112/47004 | |
Published online | 10 December 2015 |
Modified Kortweg-de Vries equation approach to zero-energy states of graphene
1 Department of Physics, Tamkang University - Tamsui 25137, Taiwan
2 Physics & Applied Mathematics Unit, Indian Statistical Institute - Kolkata 700 108, India
Received: 31 August 2015
Accepted: 19 November 2015
We utilize the relation between soliton solutions of the modified Kortweg-de Vries (mKdV) and the combined mKdV-KdV equation and the Dirac equation to construct electrostatic fields which yield exact zero-energy states in graphene. The examples considered here are fairly general and it has also been shown that some of these examples reproduce the previously known results when parameters are chosen suitably.
PACS: 73.22.Pr – Electronic structure of graphene / 03.65.Pm – Relativistic wave equations / 47.35.Fg – Solitary waves
© EPLA, 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.