$mobility-model-arora

The Arora mobility model ([Arora1982]) 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.

image1

The total concentration of ionized impurities is given by ND+NA.

Note: 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

alpha_mn

alpha_mp

exponent

n-alpha-mu-min

p-alpha-mu-min

µdn

µdp

reference mobility parameter

n-mu-d

p-mu-d

alpha_dn

alpha_dp

exponent

n-alpha-mu-d

p-alpha-mu-d

N0n

N0p

reference impurity parameter

n-n0

p-n0

alpha_Nn

alpha_Np

exponent

n-alpha-n0

p-alpha-n0

Aan

Aap

reference exponent parameter

n-a-a

p-a-a

alpha_an

alpha_ap

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 !