$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. $(c{m}^{2}e{V}^{-1}{s}^{-1})$
• βe : electron beta. $(e{V}^{-1/2})$
• μh : hole zero-field mobility. $(c{m}^{2}e{V}^{-1}{s}^{-1})$
• βh : hole beta. $(e{V}^{-1/2})$

$usemunpfunc
11 μe βe μh βh 解析失敗 (不明函數 "\v"): {\displaystyle \v_{n,sat}}
 解析失敗 (不明函數 "\v"): {\displaystyle \v_{p,sat}}

Parameter Explanation

• μe : electron zero-field mobility. $(c{m}^{2}e{V}^{-1}{s}^{-1})$
• βe : electron beta. $(e{V}^{-1/2})$
• μh : hole zero-field mobility. $(c{m}^{2}e{V}^{-1}{s}^{-1})$
• βh : hole beta. $(e{V}^{-1/2})$
• $v_{n,sat}$ saturate electron velocity (cm/s)
• $v_{p,sat}$ saturate hole velocity (cm/s)

 ${\mu }_{n,temp}={\mu }_{0}exp(\beta \sqrt{E})$,  ${\mu }_{p,temp}={\mu }_{0}exp(\beta \sqrt{E})$ 

 If 解析失敗 (不明函數 "\v"): {\displaystyle  \mu_{n,temp} \times E > v_{n,sat}, then {\mu_n} = \frac{1\v_{n,sat}}{E} }

 If 解析失敗 (不明函數 "\v"): {\displaystyle  \mu_{n,temp} \times E > v_{n,sat}, then {\mu_n} = \frac{1\v_{n,sat}}{E} }