$RandomizedR

$RandomizedR is a special command to setup the random alloy structures. The format is

$RandomizedR
Region_Number_used Random_type location_N_used seeding_num
location_1 location_2 ...... location_N
Region_1 method P1 P2 P3 P4 P5  .... 
Region_2 method P1 P2 P3 P4 P5  .... 
...
Region_N method  P1 P2 P3 P4 P5  .... 

Method=0 fully random number
Method=1 P1=dx(um), P2=average_com, P3=sigma, P4=indium_low P5=delta- In%
Method=2 P1=dx(um), P2=average_com, P3=sigma, P4=indium_low P5=delta- In%

The difference between 1 and 2 are that Method-2 will not replace the trap-related coefficients, nonradiative lifetime, doping, impurity, and generation of the original region. 

The idea is to generate virtual regions. The region number is "location_N_used" 
The second line defines the ID of virtual regions (location_N_used). For example location_N_used=10
13 14 15 16 17 18 19 20 21 22 23    means these regions are virtual region
P1 is the lattice size. typically 2.83e-4 um. 
P2=average_com of this QW . For example 0.15 is 15% average indium composition
P3=sigma  -> broaden factor of averaging local indium composition. Typically 2-4 lattice size. Unit is um. 
P4=indium_low  define indium composition of virtual region 1. 
P5=delta-In%   defines the composition difference of each virtual region. It should be linear.

Note that no matter which method is used, the mobility, B, and C will use the original region setting.

Example:

$RandomizedR
6 1 20 -10
13 14 15 16 17 18 19 20 21 22 23 .... 32 
3 0                                       （QW location)
5 0
7 0
9 0
11  1  2.83e-4  0.15  9.8e-4 0.01 0.02
13  2  2.83e-4  0.15  9.8e-4 0.01 0.02         # use the original lifetime, doping, , impurity, traps, and generation of the original region.