SLIDE 5 Temperature dependent carrier trapping lifetime (TDTL)
Simulated trapping coefficients (Ktr) as a function of temperature for trapping level with activation energy
0.4eV and 0.23eV in Si. NC,e,Ntr(T) - the effective density of band states for trapped carriers, ∆n(T) - the excess carrier density. The as-recorded MW-PC transients in CZ Si sample irradiated with fluence 41016 e/cm2 after heat treatment 280˚C at different scan temperatures.
- E. Gaubas, E. Simoen and J. Vanhellemont, Review-Carrier lifetime spectroscopy for defect characterization in semiconductor materials and devices, ECS J. Solid
State Sci. Technol. 5, (2016) P3108.
) ( for ) 33 34 exp( fixed for ) 3 2 exp(
33 34 3 / 2
T n , kT E B T const n , kT E A T
peak tr peak C peak tr peak
0.0 0.1 0.2 0.3 0.4 0.5 100 200 300
Tpeak (K) Etr (eV)
nC A=10-1 A=10-4 n(T) B=10-1 B=10-4
(d)
100 200 300 400 500 10 10
1
10
2
10
3
10
1
10
4
10
7
10
10
10
13
10
16
10
19
n(T) Ktr1 NC,e,Ntr1(T) Ktr2 NC,e,Ntr2(T) Ksum Etr1=0.4 eV Etr2=0.23 eV
n, NC,e,Ntr (cm
Ktr T (K) (b)
A=nC/K K=NC,VT-3/2 B=(300300-4.25F/K)
Peak temperature (within TDTL spectrum) dependence
- n trapping centre activation
energy (Etr) simulated for the fixed ∆nC=const and temperature varied ∆n(T) excess carrier density
Tpeak for which the largest Ktr, ascribed to a single type trapping centres, is obtained, can be found by solving the transcendental equations: