ELECTRONS ON DIELECTRIC
SUBSTRATE
z
-e
DILECTRIC
For z>> a
s
(atomic spacing of substrate)
ç
translational invariance
in xy plane
U(x,y,z) = U(z) =
-Qe
2
/z
Free particle
1D hydrogen atom
with proton of charge Qe
z
p=1
p=2
p=3
~
~
U
o
Rydberg series
For most dielectrics:
e>2
, Q>0.13
<z>
1
< 5A
o
~ a
s
ç
Sensitivity to surface structure
ç
No translational invariance
ç
Trapping