Transcript 投影片 1
Boron doping effect
1. Effect on structure
B
a. C: 3 sp2 (3 ) and 1 2pz (1 ) bonds
B: 3 sp2 (3 )
b. Bond length: C-C = 1.42 Å, B-C = 1.55 Å
c. Electrical ring current (resonance) disappears when B substitutes C
2. Effect on electronic profile
CB
metallic
EF
VB
CB
EF
CNT
Eg
VB
Semiconductor
CB *
EF
VB
BC3 tube
Free electronic-like (metallic)
2. Effect on electronic profiles
CB
metallic
EF
VB
EF depression to VB edge
more than 2 sub-bands crossing at EF
i.e. conductance increases
CB
EF
Random doping of B in CNT
New Eg
Eg
BC3 state (acceptor)
VB
Semiconductor
Eg reduction by EF depression
B-doping
a. EF depression Eg reduction (semiconductor tube) and number of conduction
channel increase (conductance > 4e2/h, metallic tube).
b. Creation of acceptor state near to VB edge and increase in hole carrier density
(11016 spins/g for CNTs, 61016 spins/g for BCNTs).
c. Electron scattering density increase by B-doping centers (i.e. shorter mean free
path and relaxation time compared with CNTs, = 0.4 ps and 4-10 ps for BCNTs
and CNTs)
d. The actual conductivity depends on
competition between scattering density
scattering
and increase in hole carrier (in practice,
the latter > the former, so conductance )
B+
e-
e. Electron hopping magnitude in -band increase
Overlap of -electron wave function
hopping
e-
-band (CB)
-band (VB)
-band (CB)
B dopant
BC3 state
f. Less influence on conductivity upon strain application
For CNT
R
Deflection angle
Resistance reduction is due to (i) temporary formation of sp3 at bend region
and (ii) increasing hopping magnitude upon bending
Temporary formation of sp3 character upon bending
bending
Planar sp2
Tetrahedral sp3
-band
-band
planar
-band
e- hopping
bending
For BCNTs
-band is blocked by bending
-band
BC3-state is less affected by
bending, so channel remains opened
for conduction.
(note that tube bending induced distortion only
occurs in -wave function and valence band
essentially remains intact, if, only if, distortion
also takes place in valence band the tube fracture
occurs)