| Issue |
Europhys. Lett.
Volume 69, Number 5, March 2005
|
|
|---|---|---|
| Page(s) | 784 - 790 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2004-10403-3 | |
| Published online | 26 January 2005 | |
Confinement of Bloch waves in 
nanostructures
on 
1
LEPES-CNRS - BP 166, 38042 Grenoble cedex 9, France
2
LPM2C-CNRS - BP 166, 38042 Grenoble cedex 9, France
Received:
27
September
2004
Accepted:
22
December
2004
Two-dimensional or 
layers on
surface present two surface states in the vicinity
of the Fermi level and form a two-dimensional surface electron
gas. We have performed density functional theory (DFT)
calculations of a realistic one-dimensional nanostructure of
on to study confinement effects of
this electron gas. The calculated square modulus of the wave
function shows complex modulations related to the quantum
interference patterns observed by scanning tunneling microscopy
(STM). For each quantised state, the modulation involves at least
three components consistent with the scattering of Bloch waves. A
Fourier analysis of the real space modulations is used to
construct the surface states dispersion curves. They are compared
to the direct calculation of the ideal 
surface electronic structure and to the 
curves deduced
from conductance images in STM experiments.
PACS: 73.20.At – Surface states, band structure, electron density of states / 72.10.Fk – Scattering by point defects, dislocations, surfaces, and other imperfections (including Kondo effect) / 71.15.Mb – Density functional theory, local density approximation, gradient and other corrections
© EDP Sciences, 2005
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