476 research outputs found
Potential barrier of Graphene edges
We calculated row resolved density of states, charge distribution and work
function of graphene's zigzag and armchair edge (either clean or terminated
alternatively with H, O or OH group). The zigzag edge saturated via OH group
has the lowest work function of 3.76 eV, while the zigzag edge terminated via O
has the highest work function of 7.74 eV. The angle-dependent potential barrier
on the edge is fitted to a multi-pole model and is explained by the charge
distribution.Comment: 16 pages, 8 figures. Copyright (2011) American Institute of Physics.
This article may be downloaded for personal use only. Any other use requires
prior permission of the author and the American Institute of Physics. This
article appeared in (J. Appl. Phys. 109 (2011) 114308) and may be found at
(http://link.aip.org/link/?JAP/109/114308
An improved Liouville type theorem for Beltrami flows
In this note, we improved the Liouville type theorem for the Beltrami flows.
Two different methods are used to prove it. One is the monotonicity method, and
the other is proof by contradiction. The conditions that we proposed on
Beltrami flows are significantly weaker than previously known conditions.Comment: to appear in Nonlinearit
Analytical treatment of cold field electron emission from a nanowall emitter
This paper presents an elementary, approximate analytical treatment of cold
field electron emission (CFE) from a classical nanowall. A simple model is used
to bring out some of the basic physics of a class of field emitter where
quantum confinement effects exist transverse to the emitting direction. A
high-level methodology is presented for developing CFE equations more general
than the usual Fowler-Nordheim-type (FN-type) equations, and is applied to the
classical nanowall. If the nanowall is sufficiently thin, then significant
transverse-energy quantization effects occur, and affect the overall form of
theoretical CFE equations; also, the tunnelling barrier shape exhibits
"fall-off" in the local field value with distance from the surface. A conformal
transformation technique is used to derive an analytical expression for the
on-axis tunnelling probability.Comment: 48 pages, 4 figure
- …