Dependence of mobility of charge carriers in semiconductor on the applied electricfield
1) The mobility versus the electric field behaves like the following graph:



The black line is the effective mobility while the red line is the plot of the universal mobility. This is experimental data, so there might differ from calculations, but the tendencies are the same. 

2) Mobility is mainly affected by: 


Lattice scattering (phonons) (Sah et al)
Ionized impurity scattering (Caughey &amp; Thomas)
Scattering by lattice imperfections (such as surface scattering) (Selberherr, Yamaguchi)
Carrier-carrier scattering (Dorkel &amp; Leturcq)
Neutral impurity scattering 
Velocity saturation by high electric fields (Sodini et al)


Some books which may help you are: 

-Quantum transport: Atom to transistor, S. Datta

-Electronic device architectures for the nano-CMOS era. From ultimate CMOS scaling to beyond CMOS devices, Ferry, Goodnick, and Bird

-Physical properties of semiconductors, C.M. Wolfe

-Semiconductor material and device characterization, D.K. Schroder

-Introduction to solid state physics, C. Kittel