82
V. L. Borblik
0
100
200
300
400
500
-10
0
10
20
30
40
50
w
w n
-w p
Depletion widths, nm
r
0 , nm
N A =5x10
18
cm
-3 , N D =5x10
17
cm
-3
a
0
100
200
300
400
500
-60
-40
-20
0
20
40
60
N A =5x10
17
cm
-3 , N D =5x10
18
cm
-3
w
w n
Depletion widths, nm
r
0 , nm
-w p
b
0
100
200
300
400
500
-60
-40
-20
0
20
40
60
80
w
w w n
w n
-w p
Depletion widths. nm
r
0 , nm
N A = N D
5x10
18 cm
-3
5x10
17 cm
-3
-w p
c
Fig. 2 Dependence of the depletion widths in the core w p , in the shell w n , and of the total depletion
width w on radius of the p-n junction at N A >> N D (a), N A << N D (b) and N A = N D (c) (an
abscissa equal to zero corresponds to metallurgical boundary of the p-n junction)
shell faster than in direction of the core. Note also that the “mysterious” increase in
depletion depth in semi-limited semiconductor nanostructures with cylindrical and
spherical geometry (as in [1–3]) has the same nature.
3 Nanowire Radial p-n Heterojunction
3.1 Theory
Let us assign number 1 to the p-core and number 2 to the n-shell. Then, in the
depletion approximation, profile of the potential V is determined by next Poisson
equations for two regions
V. L. Borblik
0
100
200
300
400
500
-10
0
10
20
30
40
50
w
w n
-w p
Depletion widths, nm
r
0 , nm
N A =5x10
18
cm
-3 , N D =5x10
17
cm
-3
a
0
100
200
300
400
500
-60
-40
-20
0
20
40
60
N A =5x10
17
cm
-3 , N D =5x10
18
cm
-3
w
w n
Depletion widths, nm
r
0 , nm
-w p
b
0
100
200
300
400
500
-60
-40
-20
0
20
40
60
80
w
w w n
w n
-w p
Depletion widths. nm
r
0 , nm
N A = N D
5x10
18 cm
-3
5x10
17 cm
-3
-w p
c
Fig. 2 Dependence of the depletion widths in the core w p , in the shell w n , and of the total depletion
width w on radius of the p-n junction at N A >> N D (a), N A << N D (b) and N A = N D (c) (an
abscissa equal to zero corresponds to metallurgical boundary of the p-n junction)
shell faster than in direction of the core. Note also that the “mysterious” increase in
depletion depth in semi-limited semiconductor nanostructures with cylindrical and
spherical geometry (as in [1–3]) has the same nature.
3 Nanowire Radial p-n Heterojunction
3.1 Theory
Let us assign number 1 to the p-core and number 2 to the n-shell. Then, in the
depletion approximation, profile of the potential V is determined by next Poisson
equations for two regions
