Commit 97026bd7 authored by Simon Spannagel's avatar Simon Spannagel
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Manual: Document RuchKino model for GaAs

parent 49da756c

doc/usermanual/chapters/models.tex

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@@ -267,6 +267,31 @@ where $\mu_{m}(N)$ is the Masetti mobility from Equation~\eqref{eq:mob:mas}, and 


This model can be selected in the configuration file via the parameter \parameter{mobility_model = "masetti_canali"}.



\subsection{Ruch-Kino Model}



The Ruch-Kino mobility model~\cite{ruchkino} parametrizes electron and hole mobility in GaAs sensor material.

The model parameters implemented in \apsq is taken from measurements~\cite{Bergmann_2020}.



The mobility is parametrized as

\begin{align}

    \label{eq:mob:rkgaas}

    \mu_e(E) &= \mu_{0,e} &\quad \textrm{for} \quad E < E_0 \nonumber \\

             &= \mu_{0,e} / \sqrt{1 + \left(E - E_0\right)^2 / E_c^2} &\quad \textrm{for} \quad E \geq E_0 \nonumber \\

    \mu_h(E) &= \mu_{0,h}.

\end{align}



The values implemented in \apsq are:

\begin{align*}

      E_0   &= \SI{3.1e3}{V \per cm} \\

      E_c   &= \SI{1.36e3}{V \per cm} \\

      \mu_{0,e}   &= \SI{7.6e3}{cm^2 \per V \per s} \\

      \mu_{0,h}   &= \SI{3.2e2}{cm^2 \per V \per s} \\

\end{align*}

for electrons and holes, respectively.



This model can be selected in the configuration file via the parameter \parameter{mobility_model = "ruch_kino"}.





\subsection{Constant Mobility}



Some simulations require constant charge carrier mobility values $\mu = \textrm{const}$.

doc/usermanual/references.bib

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@@ -707,6 +707,35 @@ doi = {10.1109/TNS.2004.839096} 
    url = {http://personalpages.to.infn.it/~cartigli/Weightfield2/index.html}

}



@article{ruchkino,

  title = {Transport Properties of GaAs},

  author = {Ruch, J. G. and Kino, G. S.},

  journal = {Phys. Rev.},

  volume = {174},

  issue = {3},

  pages = {921--931},

  numpages = {0},

  year = {1968},

  month = {Oct},

  publisher = {American Physical Society},

  doi = {10.1103/PhysRev.174.921},

  url = {https://link.aps.org/doi/10.1103/PhysRev.174.921}

}



@article{Bergmann_2020,

	doi = {10.1088/1748-0221/15/03/c03013},

	url = {https://doi.org/10.1088/1748-0221/15/03/c03013},

	year = 2020,

	month = {mar},

	publisher = {{IOP} Publishing},

	volume = {15},

	number = {03},

	pages = {C03013--C03013},

	author = {B. Bergmann and P. Azzarello and P. Broulim and P. Burian and L. Meduna and M. Paniccia and C. Perrina and S. Pospisil and L. Tlustos and X. Wu},

	title = {Detector response and performance of a 500um thick {GaAs} attached to Timepix3 in relativistic particle beams},

	journal = {Journal of Instrumentation},

}



@article{omar,

    title = "Drift velocity and diffusivity of hot carriers in germanium: Model calculations",

    journal = "Solid-State Electronics",