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 % A4 landscape (?)
  18 %
  19 %\def\breite{390mm}
  20 %\def\hoehe{319.2mm}
  21 %\def\anzspalten{4}
  22 %
  23 % A3 landscape
  24 %
  25 %\def\breite{420mm}
  26 %\def\hoehe{297mm}
  27 %\def\anzspalten{4}
  28 %
  29 % A3 portrait
  30 %
  31 %\def\breite{297mm}
  32 %\def\hoehe{420mm}
  33 %\def\anzspalten{3}
  34 %
  35 % A4 portrait
  36 %
  37 %\def\breite{210mm}
  38 %\def\hoehe{297mm}
  39 %\def\anzspalten{2}
  40 %
  41 % A0 portrait
  42 %
  43 %\def\breite{841mm}
  44 %\def\hoehe{1189mm}
  45 %\def\anzspalten{3}
  46 %
  47 % A0 / 2.82 portrait
  48 %
  49 \def\breite{298.23mm}
  50 \def\hoehe{421.63mm}
  51 \def\anzspalten{3}
  52 %
  53 %
  54 %
  55 % scaling procedure:
  56 %   ./poster_resize poster.ps S
  57 %
  58 % european sizes:
  59 %   A3: 29.73 x 42.04 cm
  60 %   A1: 59.5 x 84.1 cm
  61 %   A0: 84.1 x 118.9 cm
  62 %
  63
  64 % packages:
  65 %
  66 \usepackage{palatino}
  67 \usepackage[latin1]{inputenc}
  68 \usepackage{epsf}
  69 \usepackage{graphicx,psfrag,color,pstricks,pst-grad}
  70 \graphicspath{{../img/}}
  71 \usepackage{amsmath,amssymb}
  72 \usepackage{latexsym}
  73 \usepackage{calc}
  74 \usepackage{multicol}
  75 \usepackage[german]{babel}
  76
  77 % numbers, lengths and boxes:
  78 %
  79 \newsavebox{\dummybox}
  80 \newsavebox{\spalten}
  81 %
  82 \newlength{\bgwidth}\newlength{\bgheight}
  83 \setlength\bgheight{\hoehe} \addtolength\bgheight{-1mm}
  84 \setlength\bgwidth{\breite} \addtolength\bgwidth{-1mm}
  85 %
  86 \newlength{\kastenwidth}
  87 %
  88 \setlength\paperheight{\hoehe}
  89 \setlength\paperwidth{\breite}
  90 \special{papersize=\breite,\hoehe}
  91 %
  92 \topmargin -1in
  93 \marginparsep0mm
  94 \marginparwidth0mm
  95 \headheight0mm
  96 \headsep0mm
  97 %
  98 \setlength{\oddsidemargin}{-2.44cm}
  99 \addtolength{\topmargin}{-3mm}
 100 \textwidth\paperwidth
 101 \textheight\paperheight
 102 %
 103 \parindent0cm
 104 \parskip1.5ex plus0.5ex minus 0.5ex
 105 \pagestyle{empty}
 106 %
 107 \definecolor{recoilcolor}{rgb}{1,0,0}
 108 \definecolor{occolor}{rgb}{0,1,0}
 109 \definecolor{pink}{rgb}{0,1,1}
 110 %
 111 \def\UberStil{\normalfont\sffamily\bfseries\large}
 112 \def\UnterStil{\normalfont\sffamily\small}
 113 \def\LabelStil{\normalfont\sffamily\tiny}
 114 \def\LegStil{\normalfont\sffamily\tiny}
 115
 116 % commands:
 117 %
 118 \definecolor{JG}{rgb}{0.1,0.9,0.3}
 119 %
 120 \newenvironment{kasten}{%
 121         \begin{lrbox}{\dummybox}%
 122         \begin{minipage}{0.96\linewidth}}%
 123         {\end{minipage}%
 124         \end{lrbox}%
 125 \raisebox{-\depth}{\psshadowbox[framesep=1em]{\usebox{\dummybox}}}\\[0.5em]}
 126 %
 127 \newenvironment{spalte}{%
 128         \setlength\kastenwidth{1.2\textwidth}
 129         \divide\kastenwidth by \anzspalten
 130         \begin{minipage}[t]{\kastenwidth}}
 131         {\end{minipage}\hfill}
 132 %
 133 \renewcommand{\emph}[1]{{\color{red}\textbf{#1}}}
 134 %
 135 \def\op#1{\hat{#1}}
 136
 137 %
 138 % the document begins ...
 139 %
 140 \begin{document}
 141
 142 % background
 143 {\newrgbcolor{gradbegin}{0.1 0.1 0.1}%
 144  \newrgbcolor{gradend}{1 1 1}%
 145  \psframe[fillstyle=gradient,gradend=gradend,%
 146  gradbegin=gradbegin,gradmidpoint=0.5](\bgwidth,-\bgheight)%
 147 }
 148
 149 % header
 150 %\vfill
 151 \hfill
 152 \psshadowbox{\makebox[0.95\textwidth]{%
 153         %\hfill
 154         \parbox[c]{0.15\linewidth}{\includegraphics[height=4.5cm]{uni-logo.eps}}
 155         \parbox[c]{0.62\linewidth}{%
 156                 \begin{center}
 157                         \textbf{\Huge{Monte Carlo simulation study \\
 158                                       of a selforganization process \\
 159                                       leading to ordered precipitate structures}
 160                         }\\[0.7em]
 161                         \textsc{\LARGE \underline{F. Zirkelbach}, M. H"aberlen,
 162                                        J. K. N. Lindner, B. Stritzker
 163                         }\\[0.7em]
 164                         {\large Institut f"ur Physik, Universit"at Augsburg,
 165                          D-86135 Augsburg, Germany
 166                         }
 167                 \end{center}
 168         }
 169         \parbox[c]{0.15\linewidth}{%
 170                 \includegraphics[height=4.1cm]{Lehrstuhl-Logo.eps}
 171         }
 172         %\hfill
 173 }}
 174 \hfill\mbox{}\\[0.1cm]
 175
 176 %\vspace*{1.3cm}
 177
 178 % content, let's rock the columns
 179 \begin{lrbox}{\spalten}
 180         \parbox[t][\textheight]{1.3\textwidth}{%
 181                 %\vspace*{0.2cm}
 182                 \hfill
 183                 %\hspace{0.5cm}
 184 % first column
 185 \begin{spalte}
 186         \begin{kasten}
 187
 188         \section*{1 \hspace{0.1cm} {\color{blue}Experimental observations}}
 189
 190                 \subsection*{1.1 {\color{blue} Amorphous inclusions}}
 191                         \begin{center}
 192                                 \includegraphics[width=11cm]{k393abild1_e.eps}
 193                         \end{center}
 194                         Cross section TEM image:\\
 195                         $180 \, keV$ $C^+ \rightarrow Si$,
 196                         $T=150 \, ^{\circ} \mathrm{C}$,
 197                         Dose: $4.3 \times 10^{17} \, cm^{-2}$\\
 198                         black/white: crystalline/amorphous material\\
 199                         L: amorphous lamellae, S: spherical amorphous inclusions
 200
 201                 \subsection*{1.2 {\color{blue} Carbon distribution}}
 202                         \begin{center}
 203                                 \includegraphics[width=11cm]{eftem.eps}
 204                         \end{center}
 205                         Brightfield TEM and respective EFTEM image:\\
 206                         $180 \, keV$ $C^+ \rightarrow Si$,
 207                         $T=200 \, ^{\circ} \mathrm{C}$,
 208                         Dose: $4.3 \times 10^{17} \, cm^{-2}$\\
 209                         yellow/blue: high/low concentrations of carbon
 210
 211         \end{kasten}
 212
 213         \begin{kasten}
 214                 \section*{2 \hspace{0.1cm} {\color{blue}Model}}
 215
 216                         \begin{center}
 217                                 \includegraphics[width=11cm]{modell_ng_e.eps}
 218                         \end{center}
 219                         \begin{itemize}
 220 \item supersaturation of $C$ in $c-Si$\\
 221       $\rightarrow$ {\bf carbon induced} nucleation of spherical
 222       $SiC_x$-precipitates
 223 \item high interfacial energy between $3C-SiC$ and $c-Si$\\
 224       $\rightarrow$ {\bf amourphous} precipitates
 225 \item $20 - 30\,\%$ lower silicon density of $a-SiC_x$ compared to $c-Si$\\
 226       $\rightarrow$ {\bf lateral strain} (black arrows)
 227 \item reduction of the carbon supersaturation in $c-Si$\\
 228       $\rightarrow$ {\bf carbon diffusion} into amorphous volumina
 229       (white arrows)
 230 \item lateral strain (vertical component relaxating)\\
 231       $\rightarrow$ {\bf strain induced} lateral amorphization
 232                         \end{itemize}
 233         \end{kasten}
 234         \begin{kasten}
 235                 \section*{3 \hspace{0.1cm} {\color{blue}Simulation}}
 236
 237                 \subsection*{3.1 {\color{blue} Discretization of the target}}
 238                         \begin{center}
 239                                 \includegraphics[width=6cm]{gitter_e.eps}
 240                         \end{center}
 241                         Periodic boundary conditions in $x,y$-direction.\\
 242                         Start conditions: All volumes crystalline, zero carbon
 243                         concentration.
 244
 245                 \subsection*{3.3 {\color{blue} TRIM collision statistics}}
 246                 \begin{center}
 247                         \includegraphics[width=8cm]{trim_coll_e.eps}
 248                 \end{center}
 249                 \begin{center}
 250                 $\Rightarrow$ mean constant energy loss per collision of an ion
 251                 \end{center}
 252         \end{kasten}
 253 \end{spalte}
 254 \begin{spalte}
 255         \begin{kasten}
 256                 \subsection*{3.2 {\color{blue} Simulation algorithm}}
 257
 258                 \subsubsection*{3.2.1 Amorphization/Recrystallization}
 259                         \begin{itemize}
 260                                 \item random numbers according to the nuclear
 261                                       energy loss to determine the volume hit
 262                                       by an impinging ion
 263                                 \item compute local probability for
 264                                       amorphization:\\
 265 \[
 266  p_{c \rightarrow a}(\vec{r}) = {\color{green} p_b} + {\color{blue} p_c c_C(\vec{r})} + {\color{red} \sum_{\textrm{amorphous neighbours}} \frac{p_s c_C(\vec{r'})}{(r-r')^2}}
 267 \]
 268                                       and recrystallization:
 269 \[
 270  p_{a \rightarrow c}(\vec r) = (1 - p_{c \rightarrow a}(\vec r)) \Big(1 - \frac{\sum_{direct \, neighbours} \delta (\vec{r'})}{6} \Big) \, \textrm{,}
 271 \]
 272 \[
 273 \delta (\vec r) = \left\{
 274 \begin{array}{ll}
 275         1 & \textrm{volume at position $\vec r$ amorphous} \\
 276         0 & \textrm{otherwise} \\
 277 \end{array}
 278 \right.
 279 \]
 280                                 \item loop for the mean amount of hits by the
 281                                       ion
 282                         \end{itemize}
 283 Three contributions to the amorphization process controlled by:
 284 \begin{itemize}
 285         \item {\color{green} $p_b$} normal 'ballistic' amorphization
 286         \item {\color{blue} $p_c$} carbon induced amorphization
 287         \item {\color{red} $p_s$} stress enhanced amorphization
 288 \end{itemize}
 289
 290                 \subsubsection*{3.2.2 Carbon incorporation}
 291                         \begin{itemize}
 292                                 \item random numbers according to the
 293                                       implantation profile to determine the
 294                                       incorporation volume
 295                                 \item increase the amount of carbon atoms in
 296                                       that volume
 297                         \end{itemize}
 298                 \subsubsection*{3.2.3 Diffusion/Sputtering}
 299                         \begin{itemize}
 300                                 \item every $d_v$ steps transfer $d_r$ of the
 301                                       carbon atoms of crystalline volumina to
 302                                       an amorphous neighbour volume
 303                                 \item do the sputter routine after $n$ steps
 304                                       corresponding to $3 \, nm$ of substrat
 305                                       removal
 306                         \end{itemize}
 307
 308         \end{kasten}
 309         \begin{kasten}
 310                 \section*{4 \hspace{0.1cm} {\color{blue}Simulation results}}
 311
 312                 \subsection*{4.1 {\color{blue} Comparison with experiments}}
 313                         \begin{center}
 314                         \includegraphics[width=11cm]{dosis_entwicklung_ng_e_1-2.eps}
 315                         \end{center}
 316                         \begin{center}
 317                         \includegraphics[width=11cm]{dosis_entwicklung_ng_e_2-2.eps}
 318                         \end{center}
 319                         Simulation parameters:\\
 320                         $p_b=0.01$, $p_c=0.001$, $p_s=0.0001$, $d_r=0.05$,
 321                         $d_v=1 \times 10^6$.
 322         \end{kasten}
 323         \begin{kasten}
 324                 \subsection*{4.2 {\color{blue} Variation of the simulation parameters}}
 325                         \begin{center}
 326                         \includegraphics[width=11cm]{var_sim_paramters_en.eps}
 327                         \end{center}
 328                         Parameters of initial situation:\\
 329                         $p_b=0.01$, $p_c=0.001$, $p_s=0.0001$, $d_r=0.05$,
 330                         $d_v=1 \times 10^6$.
 331         \end{kasten}
 332 \end{spalte}
 333 \begin{spalte}
 334         \begin{kasten}
 335                 \subsection*{4.3 {\color{blue} Carbon distribution}}
 336                         \begin{center}
 337                         \includegraphics[width=11cm]{ac_cconc_ver2_e.eps}
 338                         \end{center}
 339
 340         \end{kasten}
 341         \begin{kasten}
 342                 \subsection*{4.4 {\color{blue} More structural/compositional
 343                                                information}}
 344                 \begin{center}
 345                         \includegraphics[width=8cm]{97_98_ng_e.eps} \\
 346                         Plane view of consecutive target layers $z$ and $z+1$
 347                 \end{center}
 348         \end{kasten}
 349         \begin{kasten}
 350                 \subsection*{4.5 \hspace{0.1cm} {\color{blue} Broad distribution
 351                              of lamellar structure - the recipe}}
 352                 \subsubsection*{4.5.1 Constant carbon concentration}
 353                         \makebox[11cm]{%
 354                                 \parbox[c]{5cm}{%
 355                         \begin{itemize}
 356                                 \item multiple implantation \\ steps
 357                                 \item energies: $180$ - $10 \, keV$
 358                                 \item higher temeprature\\
 359                                       $\rightarrow$ prevent amorphization
 360                         \end{itemize}
 361                         $\Rightarrow$ nearly constant carbon distribution
 362                         ($10 \, at.\%$)
 363                                 }
 364                                 \parbox[c]{6cm}{%
 365                         \includegraphics[width=6cm]{multiple_impl_cp_e.eps}
 366                                 }
 367                         }
 368                 \subsubsection*{4.5.2 2 MeV C$^+$ implantation
 369                                                step}
 370                         \begin{center}
 371                         \includegraphics[width=10cm]{multiple_impl_e.eps}
 372                         \end{center}
 373
 374         \end{kasten}
 375         \begin{kasten}
 376                 \section*{5 \hspace{0.1cm} {\color{red} Conclusions}}
 377                         \begin{itemize}
 378                 \item selforganized nanometric precipitates by ion irradiation
 379                 \item model describing the seoforganization process
 380                 \item precipitate structures traceable by simulation
 381                 \item detailed structural/compositional information
 382                 \item recipe for broad distributions of lamellar structure
 383                         \end{itemize}
 384         \end{kasten}
 385 \end{spalte}
 386 }
 387 \end{lrbox}
 388 \resizebox*{0.98\textwidth}{!}{%
 389 \usebox{\spalten}}\hfill\mbox{}\vfill
 390
 391 \end{document}