$usemunpfunc

Function for organic material. We usually assume the carrier mobility is depend on electrical field and follow Poole-Frenkel field dependent mobility equation.

Mobility follow this equation

$\mu=\mu_0 exp(\beta\sqrt{E})$

Where　

• $\mu_0$ is the zero-field mobility
• $\beta$ is the factor of mobility increasing
• $E$ is the electric field.

Format

$usemunpfunc
1 μe βe μh βh

Parameter Explanation

$\mu_n=\mu_0 exp(\beta\sqrt{E})$,  $\mu_p=\mu_0 exp(\beta\sqrt{E})$ 

• μe : electron zero-field mobility. $(cm^{2}eV^{-1}s^{-1})$
• βe : electron beta. $(eV^{-1/2})$
• μh : hole zero-field mobility. $(cm^{2}eV^{-1}s^{-1})$
• βh : hole beta. $(eV^{-1/2})$

$usemunpfunc
11 μe βe μh βh $\mu_{n,sat}$ $\mu_{p,sat}$

Parameter Explanation

• μe : electron zero-field mobility. $(cm^{2}eV^{-1}s^{-1})$
• βe : electron beta. $(eV^{-1/2})$
• μh : hole zero-field mobility. $(cm^{2}eV^{-1}s^{-1})$
• βh : hole beta. $(eV^{-1/2})$
• $\mu_{n,sat}$ saturate electron mobility
• $\mu_{p,sat}$ saturate hole mobility

 $\mu_{n,temp}=\mu_0 exp(\beta\sqrt{E})$,  $\mu_{p,temp}=\mu_0 exp(\beta\sqrt{E})$ 
 $\frac{1}{\mu_n} = \frac{1}{\mu_{n,temp}} + \frac{1}{\mu_{n,sat}}$
 $\frac{1}{\mu_p} = \frac{1}{\mu_{p,temp}} + \frac{1}{\mu_{p,sat}}$