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mobility-model-arora

The Arora mobility model is used to simulate the doping dependent mobility in Si and takes into account the scattering of the carriers by charged impurity ions which leads to a degradation of the carrier mobility (ionized impurity scattering). This model is temperature dependent.

N.D.Arora, J.R.Hauser, D.J.Roulston
Electron and hole mobilities in silicon as a function of concentration and temperature
IEEE Trans. Electron Devices, ED-29, 292, 1982

    

The total concentration of ionized impurities is given by ND+NA.
Note: In nextnano³ we use the nominal dopant concentration as specified in the input file and not the ionized one.

Parameter in formula Description Input parameter
electrons holes   electrons holes
µminn µminp reference mobility parameter n-mu-min p-mu-min
alphamn alphamp exponent n-alpha-mu-min p-alpha-mu-min
µdn µdp reference mobility parameter n-mu-d p-mu-d
alphadn alphadp exponent n-alpha-mu-d p-alpha-mu-d
N0n N0p reference impurity parameter n-n0 p-n0
alphaNn alphaNp exponent n-alpha-n0 p-alpha-n0
Aan Aap reference exponent parameter n-a-a p-a-a
alphaan alphaap exponent n-alpha-a-a p-alpha-a-a
ND NA concentration of ionized donors/acceptors
T T lattice temperature
T0 T0 temperature (300 K)

 

!-------------------------------------------------------------!
$mobility-model-arora                                optional !
                                                              !
 material-name                       character       required !
 number-of-parameters                integer         required !
                                                              !
!++++++++++++++++++++++++++++++++++++
! for binaries, e.g. GaAs
!++++++++++++++++++++++++++++++++++++
 n-mu-min                            double          optional ! [cm2/Vs]
 n-alpha-mu-min                      double          optional ! []
 n-mu-d                              double          optional ! [cm2/Vs]
 n-alpha-mu-d                        double          optional ! []
 n-n0                                double          optional ! [cm-3]
 n-alpha-n0                          double          optional ! []
 n-a-a                               double          optional ! []
 n-alpha-a-a                         double          optional ! []
                                                              !
 p-mu-min                            double          optional ! [cm2/Vs]
 p-alpha-mu-min                      double          optional ! []
 p-mu-d                              double          optional ! [cm2/Vs]
 p-alpha-mu-d                        double          optional ! []
 p-n0                                double          optional ! [cm-3]
 p-alpha-n0                          double          optional ! []
 p-a-a                               double          optional ! []
 p-alpha-a-a                         double          optional ! []
                                                              !
                                                              !
!++++++++++++++++++++++++++++++++++++
! for ternaries, e.g. Al(x)Ga(1-x)As
!++++++++++++++++++++++++++++++++++++
 n-bow-mu-min                        double          optional ! [cm2/Vs]
for alloys
 n-bow-alpha-mu-min                  double          optional ! []      
for alloys
 n-bow-mu-d                          double          optional ! [cm2/Vs]
for alloys
 n-bow-alpha-mu-d                    double          optional ! []      
for alloys
 n-bow-n0                            double          optional ! [cm-3]   
for alloys
 n-bow-alpha-n0                      double          optional ! []      
for alloys
 n-bow-a-a                           double          optional ! []      
for alloys
 n-bow-alpha-a-a                     double          optional ! []      
for alloys
                                                              !
 p-bow-mu-min                        double          optional ! [cm2/Vs]
for alloys
 p-bow-alpha-mu-min                  double          optional ! []      
for alloys
 p-bow-mu-d                          double          optional ! [cm2/Vs]
for alloys
 p-bow-alpha-mu-d                    double          optional ! []      
for alloys
 p-bow-n0                            double          optional ! [cm-3]   
for alloys
 p-bow-alpha-n0                      double          optional ! []      
for alloys
 p-bow-a-a                           double          optional ! []      
for alloys
 p-bow-alpha-a-a                     double          optional ! []      
for alloys
                                                              !
$end_mobility-model-arora                            optional !
!-------------------------------------------------------------!

 

Syntax

material-name = Si
Name of material to which this set of parameters applies. Name has to be listed in $default-materials.

number-of-parameters = 16
Control parameter if the number of parameters provided is the same as demanded.

The parameters are specified as shown in the tables above. There are two sets, one for electrons (n-) and one for holes (p-).

!++++++++++++++++++++++++++++++++++++
! for ternaries, e.g. Al(x)Ga(1-x)As
!++++++++++++++++++++++++++++++++++++
The specifiers containing "*-bow-*" are for alloys, i.e. ternaries.
By default, linear interpolation is used if the bowing parameter is zero.

material-name         = Al(x)Ga(1-x)As
number-of-parameters  = 4
n-bow-mu-min          = 0d0  ! [cm2/Vs]  
Bowing parameters are zero if linear interpolation is used.
...