nlsop/poster/nlsop_ibmm2006.tex

   1 \documentclass[10pt]{scrartcl}
   2
   3 % howto ...
   4 %
   5 % resize to A0 (900 x 1100 mm) full poster size
   6 %        or A4 or Letter size
   7 %
   8 % resize factor:
   9 %        2*sqrt(2) = 2.828    (for A0)
  10 %        2         = 2.00     (for A1)
  11 %
  12 %
  13 % format definition:
  14 %
  15 % special format, scaled by 2.82 -> A0
  16 %
  17 \def\breite{390mm}
  18 \def\hoehe{319.2mm}
  19 \def\anzspalten{4}
  20 %
  21 % A3 landscape
  22 %
  23 %\def\breite{420mm}
  24 %\def\hoehe{297mm}
  25 %\def\anzspalten{4}
  26 %
  27 % A3 portrait
  28 %
  29 %\def\breite{297mm}
  30 %\def\hoehe{420mm}
  31 %\def\anzspalten{3}
  32 %
  33 % A4 portrait
  34 %
  35 %\def\breite{210mm}
  36 %\def\hoehe{297mm}
  37 %\def\anzspalten{2}
  38 %
  39 %
  40 %
  41 % scaling procedure:
  42 %   ./poster_resize poster.ps S
  43 %
  44 % european sizes:
  45 %   A3: 29.73 x 42.04 cm
  46 %   A1: 59.5 x 84.1 cm
  47 %   A0: 84.1 x 118.9 cm
  48 %
  49
  50 % packages:
  51 %
  52 \usepackage{palatino}
  53 \usepackage[latin1]{inputenc}
  54 \usepackage{epsf}
  55 \usepackage{graphicx,psfrag,color,pstricks,pst-grad}
  56 \graphicspath{{../img/}}
  57 \usepackage{amsmath,amssymb}
  58 \usepackage{latexsym}
  59 \usepackage{calc}
  60 \usepackage{multicol}
  61 \usepackage[german]{babel}
  62
  63 % numbers, lengths and boxes:
  64 %
  65 \newsavebox{\dummybox}
  66 \newsavebox{\spalten}
  67 %
  68 \newlength{\bgwidth}\newlength{\bgheight}
  69 \setlength\bgheight{\hoehe} \addtolength\bgheight{-1mm}
  70 \setlength\bgwidth{\breite} \addtolength\bgwidth{-1mm}
  71 %
  72 \newlength{\kastenwidth}
  73 %
  74 \setlength\paperheight{\hoehe}
  75 \setlength\paperwidth{\breite}
  76 \special{papersize=\breite,\hoehe}
  77 %
  78 \topmargin -1in
  79 \marginparsep0mm
  80 \marginparwidth0mm
  81 \headheight0mm
  82 \headsep0mm
  83 %
  84 \setlength{\oddsidemargin}{-2.44cm}
  85 \addtolength{\topmargin}{-3mm}
  86 \textwidth\paperwidth
  87 \textheight\paperheight
  88 %
  89 \parindent0cm
  90 \parskip1.5ex plus0.5ex minus 0.5ex
  91 \pagestyle{empty}
  92 %
  93 \definecolor{recoilcolor}{rgb}{1,0,0}
  94 \definecolor{occolor}{rgb}{0,1,0}
  95 \definecolor{pink}{rgb}{0,1,1}
  96 %
  97 \def\UberStil{\normalfont\sffamily\bfseries\large}
  98 \def\UnterStil{\normalfont\sffamily\small}
  99 \def\LabelStil{\normalfont\sffamily\tiny}
 100 \def\LegStil{\normalfont\sffamily\tiny}
 101
 102 % commands:
 103 %
 104 \definecolor{JG}{rgb}{0.1,0.9,0.3}
 105 %
 106 \newenvironment{kasten}{%
 107         \begin{lrbox}{\dummybox}%
 108         \begin{minipage}{0.96\linewidth}}%
 109         {\end{minipage}%
 110         \end{lrbox}%
 111 \raisebox{-\depth}{\psshadowbox[framesep=1em]{\usebox{\dummybox}}}\\[0.5em]}
 112 %
 113 \newenvironment{spalte}{%
 114         \setlength\kastenwidth{1.2\textwidth}
 115         \divide\kastenwidth by \anzspalten
 116         \begin{minipage}[t]{\kastenwidth}}
 117         {\end{minipage}\hfill}
 118 %
 119 \renewcommand{\emph}[1]{{\color{red}\textbf{#1}}}
 120 %
 121 \def\op#1{\hat{#1}}
 122
 123 %
 124 % the document begins ...
 125 %
 126 \begin{document}
 127
 128 % background
 129 {\newrgbcolor{gradbegin}{0.1 0.1 0.1}%
 130  \newrgbcolor{gradend}{1 1 1}%
 131  \psframe[fillstyle=gradient,gradend=gradend,%
 132  gradbegin=gradbegin,gradmidpoint=0.5](\bgwidth,-\bgheight)%
 133 }
 134
 135 % header
 136 \vfill
 137 \hfill
 138 \psshadowbox{\makebox[0.95\textwidth]{%
 139         \hfill
 140         \parbox[c]{0.1\linewidth}{\includegraphics[height=4.5cm]{uni-logo.eps}}
 141         \parbox[c]{0.7\linewidth}{%
 142                 \begin{center}
 143                         \textbf{\Huge{Monte Carlo simulation study of a
 144                                       selforganization process\\
 145                                       leading to ordered precipitate structures}
 146                         }\\[0.7em]
 147                         \textsc{\LARGE \underline{F. Zirkelbach}, M. H"aberlen,
 148                                        J. K. N. Lindner, B. Stritzker
 149                         }\\[0.7em]
 150                         {\large Institut f"ur Physik, Universit"at Augsburg,
 151                          D-86135 Augsburg, Germany
 152                         }
 153                 \end{center}
 154         }
 155         \parbox[c]{0.1\linewidth}{%
 156                 \includegraphics[height=4.1cm]{Lehrstuhl-Logo.eps}
 157         }
 158         \hfill
 159 }}
 160 \hfill\mbox{}\\[0.5cm]
 161
 162 %\vspace*{1.3cm}
 163
 164 % content, let's rock the columns
 165 \begin{lrbox}{\spalten}
 166         \parbox[t][\textheight]{1.3\textwidth}{%
 167                 %\vspace*{0.2cm}
 168                 \hfill
 169 % first column
 170 \begin{spalte}
 171         \begin{kasten}
 172
 173         \section*{1 \hspace{0.1cm} {\color{blue}Experimental observations}}
 174
 175                 \subsection*{1.1 {\color{blue} Amorphous inclusions}}
 176                         \begin{center}
 177                                 \includegraphics[width=11cm]{k393abild1_e.eps}
 178                         \end{center}
 179                         Cross section TEM image:\\
 180                         $180 \, keV$ $C^+ \rightarrow Si$,
 181                         $T=150 \, ^{\circ} \mathrm{C}$,
 182                         Dose: $4.3 \times 10^{17} \, cm^{-2}$\\
 183                         black/white: crystalline/amorphous material\\
 184                         L: amorphous lamellae, S: spherical amorphous inclusions
 185
 186                 \subsection*{1.2 {\color{blue} Carbon distribution}}
 187                         \begin{center}
 188                                 \includegraphics[width=11cm]{eftem.eps}
 189                         \end{center}
 190                         Brightfield TEM and respective EFTEM image:\\
 191                         $180 \, keV$ $C^+ \rightarrow Si$,
 192                         $T=200 \, ^{\circ} \mathrm{C}$,
 193                         Dose: $4.3 \times 10^{17} \, cm^{-2}$\\
 194                         yellow/blue: high/low concentrations of carbon
 195
 196         \end{kasten}
 197
 198         \begin{kasten}
 199                 \section*{2 \hspace{0.1cm} {\color{blue}Model}}
 200
 201                         \begin{center}
 202                                 \includegraphics[width=11cm]{modell_ng_e.eps}
 203                         \end{center}
 204                         \begin{itemize}
 205 \item supersaturation of $C$ in $c-Si$\\
 206       $\rightarrow$ {\bf carbon induced} nucleation of spherical
 207       $SiC_x$-precipitates
 208 \item high interfacial energy between $3C-SiC$ and $c-Si$\\
 209       $\rightarrow$ {\bf amourphous} precipitates
 210 \item $20 - 30\,\%$ lower silicon density of $a-SiC_x$ compared to $c-Si$\\
 211       $\rightarrow$ {\bf lateral strain} (black arrows)
 212 \item reduction of the carbon supersaturation in $c-Si$\\
 213       $\rightarrow$ {\bf carbon diffusion} into amorphous volumina
 214       (white arrows)
 215 \item lateral strain (vertical component relaxating)\\
 216       $\rightarrow$ {\bf strain induced} lateral amorphization
 217                         \end{itemize}
 218         \end{kasten}
 219 \end{spalte}
 220 \begin{spalte}
 221         \begin{kasten}
 222                 \section*{3 \hspace{0.1cm} {\color{blue}Simulation}}
 223
 224                 \subsection*{3.1 {\color{blue} Discretization of the target}}
 225                         \begin{center}
 226                                 \includegraphics[width=6cm]{gitter_e.eps}
 227                         \end{center}
 228
 229                 \subsection*{3.2 {\color{blue} Simulation algorithm}}
 230
 231                 \subsubsection*{3.2.1 Amorphization/Recrystallization}
 232                         \begin{itemize}
 233                                 \item random numbers according to the nuclear
 234                                       energy loss to determine the volume hit
 235                                       by an impinging ion
 236                                 \item compute local probability for
 237                                       amorphization:\\
 238 \[
 239  p_{c \rightarrow a}(\vec{r}) = {\color{green} p_b} + {\color{blue} p_c c_C(\vec{r})} + {\color{red} \sum_{\textrm{amorphous neighbours}} \frac{p_s c_C(\vec{r'})}{(r-r')^2}}
 240 \]
 241                                       and recrystallization:
 242 \[
 243  p_{a \rightarrow c}(\vec r) = (1 - p_{c \rightarrow a}(\vec r)) \Big(1 - \frac{\sum_{direct \, neighbours} \delta (\vec{r'})}{6} \Big) \, \textrm{,}
 244 \]
 245 \[
 246 \delta (\vec r) = \left\{
 247 \begin{array}{ll}
 248         1 & \textrm{volume at position $\vec r$ amorphous} \\
 249         0 & \textrm{otherwise} \\
 250 \end{array}
 251 \right.
 252 \]
 253                                 \item loop for the mean amount of hits by the
 254                                       ion
 255                         \end{itemize}
 256 Three contributions to the amorphization process controlled by:
 257 \begin{itemize}
 258         \item {\color{green} $p_b$} normal 'ballistic' amorphization
 259         \item {\color{blue} $p_c$} carbon induced amorphization
 260         \item {\color{red} $p_s$} stress enhanced amorphization
 261 \end{itemize}
 262
 263                 \subsubsection*{3.2.2 Carbon incorporation}
 264                         \begin{itemize}
 265                                 \item random numbers according to the
 266                                       implantation profile to determine the
 267                                       incorporation volume
 268                                 \item increase the amount of carbon atoms in
 269                                       that volume
 270                         \end{itemize}
 271                 \subsubsection*{3.2.3 Diffusion/Sputtering}
 272                         \begin{itemize}
 273                                 \item every $d_v$ steps transfer $d_r$ of the
 274                                       carbon atoms of crystalline volumina to
 275                                       an amorphous neighbour volume
 276                                 \item do the sputter routine after $n$ steps
 277                                       corresponding to $3 \, nm$ of substrat
 278                                       removal
 279                         \end{itemize}
 280         \end{kasten}
 281 \end{spalte}
 282 \begin{spalte}
 283         \begin{kasten}
 284                 \section*{4 \hspace{0.1cm} {\color{blue}Simulation results}}
 285
 286                 \subsection*{4.1 {\color{blue} Comparison with experiments}}
 287                         \begin{center}
 288                         \includegraphics[width=11cm]{dosis_entwicklung_ng_e_1-2.eps}
 289                         \end{center}
 290                         \begin{center}
 291                         \includegraphics[width=11cm]{dosis_entwicklung_ng_e_2-2.eps}
 292                         \end{center}
 293         \end{kasten}
 294         \begin{kasten}
 295                 \subsection*{4.2 {\color{blue} Carbon distribution}}
 296                         \begin{center}
 297                         \includegraphics[width=11cm]{ac_cconc_ver2_e.eps}
 298                         \end{center}
 299
 300         \end{kasten}
 301 \end{spalte}
 302 % fourth column
 303 \begin{spalte}
 304         \begin{kasten}
 305                 \subsection*{4.3 {\color{blue} More structural/compositional
 306                                                information}}
 307                 \begin{center}
 308                         \includegraphics[width=8cm]{97_98_ng_e.eps} \\
 309                         Plane view of consecutive target layers $z$ and $z+1$
 310                 \end{center}
 311         \end{kasten}
 312         \begin{kasten}
 313                 \subsection*{4.4 \hspace{0.1cm} {\color{blue} Broad distribution
 314                              of lamellar structure - the recipe}}
 315                 \subsubsection*{4.4.1 Constant carbon concentration}
 316                         \makebox[11cm]{%
 317                                 \parbox[c]{6cm}{%
 318                         \includegraphics[width=6cm]{multiple_impl_cp_e.eps}
 319                                 }
 320                                 \parbox[c]{5cm}{%
 321                         \begin{itemize}
 322                                 \item multiple implantation \\ steps
 323                                 \item energies: $180$ - $10 \, keV$
 324                         \end{itemize}
 325                         $\Rightarrow$ nearly constant carbon distribution
 326                         ($10 \, at.\%$)
 327                                 }
 328                         }
 329                 \subsubsection*{4.4.2 2 MeV C$^+$ implantation
 330                                                step}
 331                         \begin{center}
 332                         \includegraphics[width=10cm]{multiple_impl_e.eps}
 333                         \end{center}
 334
 335         \end{kasten}
 336         \begin{kasten}
 337                 \section*{5 \hspace{0.1cm} {\color{red} Conclusions}}
 338                         \begin{itemize}
 339                 \item selforganized nanometric precipitates by ion irradiation
 340                 \item model describing the seoforganization process
 341                 \item precipitate structures traceable by simulation
 342                 \item detailed structural/compositional information
 343                 \item recipe for broad distributions of lamellar structure
 344                         \end{itemize}
 345         \end{kasten}
 346 \end{spalte}
 347 }
 348 \end{lrbox}
 349 \resizebox*{0.98\textwidth}{!}{%
 350 \usebox{\spalten}}\hfill\mbox{}\vfill
 351
 352 \end{document}