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{}\\[0cm]
 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 implantation range near surface\\
 228       $\rightarrow$ {\bf ralaxation} of {\bf vertical strain component}
 229 \item reduction of the carbon supersaturation in $c-Si$\\
 230       $\rightarrow$ {\bf carbon diffusion} into amorphous volumina
 231       (white arrows)
 232 \item remaining lateral strain\\
 233       $\rightarrow$ {\bf strain induced} lateral amorphization
 234                         \end{itemize}
 235         \end{kasten}
 236         \begin{kasten}
 237                 \section*{3 \hspace{0.1cm} {\color{blue}Simulation}}
 238
 239                 \subsection*{3.1 {\color{blue} Discretization of the target}}
 240                         \begin{center}
 241                                 \includegraphics[width=6cm]{gitter_e.eps}
 242                         \end{center}
 243                         Periodic boundary conditions in $x,y$-direction.\\
 244                         Start conditions: All volumes crystalline, zero carbon
 245                         concentration.
 246
 247                 \subsection*{3.3 {\color{blue} TRIM collision statistics}}
 248                 \begin{center}
 249                         \includegraphics[width=8cm]{trim_coll_e.eps}
 250                 \end{center}
 251                 \begin{center}
 252                 $\Rightarrow$ mean constant energy loss per collision of an ion
 253                 \end{center}
 254         \end{kasten}
 255 \end{spalte}
 256 \begin{spalte}
 257         \begin{kasten}
 258                 \subsection*{3.2 {\color{blue} Simulation algorithm}}
 259
 260                 \subsubsection*{3.2.1 Amorphization/Recrystallization}
 261                         \begin{itemize}
 262                                 \item random numbers distributed according to
 263                                       the nuclear energy loss to determine the
 264                                       volume hit by an impinging ion
 265                                 \item compute local probability for
 266                                       amorphization:\\
 267 \[
 268  p_{c \rightarrow a}(\vec{r}) = {\color{green} p_b} + {\color{blue} p_c c_C(\vec{r})} + {\color{red} \sum_{\textrm{amorphous neighbours}} \frac{p_s c_C(\vec{r'})}{(r-r')^2}}
 269 \]
 270                                       and recrystallization:
 271 \[
 272  p_{a \rightarrow c}(\vec r) = (1 - p_{c \rightarrow a}(\vec r)) \Big(1 - \frac{\sum_{direct \, neighbours} \delta (\vec{r'})}{6} \Big) \, \textrm{,}
 273 \]
 274 \[
 275 \delta (\vec r) = \left\{
 276 \begin{array}{ll}
 277         1 & \textrm{volume at position $\vec r$ amorphous} \\
 278         0 & \textrm{otherwise} \\
 279 \end{array}
 280 \right.
 281 \]
 282                                 \item loop for the mean amount of hits by the
 283                                       ion
 284                         \end{itemize}
 285 Three contributions to the amorphization process controlled by:
 286 \begin{itemize}
 287         \item {\color{green} $p_b$} normal 'ballistic' amorphization
 288         \item {\color{blue} $p_c$} carbon induced amorphization
 289         \item {\color{red} $p_s$} stress enhanced amorphization
 290 \end{itemize}
 291
 292                 \subsubsection*{3.2.2 Carbon incorporation}
 293                         \begin{itemize}
 294                                 \item random numbers distributed according to
 295                                       the implantation profile to determine the
 296                                       incorporation volume
 297                                 \item increase the amount of carbon atoms in
 298                                       that volume
 299                         \end{itemize}
 300                 \subsubsection*{3.2.3 Diffusion/Sputtering}
 301                         \begin{itemize}
 302                                 \item every $d_v$ steps transfer $d_r$ of the
 303                                       carbon atoms of crystalline volumina to
 304                                       an amorphous neighbour volume
 305                                 \item do the sputter routine after $n$ steps
 306                                       corresponding to $3 \, nm$ of substrat
 307                                       removal
 308                         \end{itemize}
 309
 310         \end{kasten}
 311         \begin{kasten}
 312                 \section*{4 \hspace{0.1cm} {\color{blue}Simulation results}}
 313
 314                 \subsection*{4.1 {\color{blue} Comparison with experiments}}
 315                         \begin{center}
 316                         \includegraphics[width=11cm]{dosis_entwicklung_ng_e_1-2.eps}
 317                         \end{center}
 318                         \begin{center}
 319                         \includegraphics[width=11cm]{dosis_entwicklung_ng_e_2-2.eps}
 320                         \end{center}
 321                         Simulation parameters:\\
 322                         $p_b=0.01$, $p_c=0.001$, $p_s=0.0001$, $d_r=0.05$,
 323                         $d_v=1 \times 10^6$.
 324         \end{kasten}
 325         \begin{kasten}
 326                 \subsection*{4.2 {\color{blue} Variation of the simulation parameters}}
 327                         \begin{center}
 328                         \includegraphics[width=11cm]{var_sim_paramters_en.eps}
 329                         \end{center}
 330                         Parameters of initial situation:\\
 331                         $p_b=0.01$, $p_c=0.001$, $p_s=0.0001$, $d_r=0.05$,
 332                         $d_v=1 \times 10^6$.
 333         \end{kasten}
 334 \end{spalte}
 335 \begin{spalte}
 336         \begin{kasten}
 337                 \subsection*{4.3 {\color{blue} Carbon distribution}}
 338                         \begin{center}
 339                         \includegraphics[width=11cm]{ac_cconc_ver2_e.eps}
 340                         \end{center}
 341
 342         \end{kasten}
 343         \begin{kasten}
 344                 \subsection*{4.4 {\color{blue} More structural/compositional
 345                                                information}}
 346                 \begin{center}
 347                         \includegraphics[width=8cm]{97_98_ng_e.eps} \\
 348                         Plane view of consecutive target layers $z$ and $z+1$
 349                 \end{center}
 350         \end{kasten}
 351         \begin{kasten}
 352                 \subsection*{4.5 \hspace{0.1cm} {\color{blue} Broad distribution
 353                              of lamellar structure - the recipe}}
 354                 \subsubsection*{4.5.1 Constant carbon concentration}
 355                         \makebox[11cm]{%
 356                                 \parbox[c]{5cm}{%
 357                         \begin{itemize}
 358                                 \item multiple implantation\\
 359                                       steps
 360                                 \item energies: $180$ - $10 \, keV$
 361                                 \item temeprature: $500 ^{\circ} \mathrm{C}$\\
 362                                       $\rightarrow$ prevent amorphization
 363                         \end{itemize}
 364                         $\Rightarrow$ nearly constant carbon distribution
 365                         ($10 \, at.\%$)
 366                                 }
 367                                 \parbox[c]{6cm}{%
 368                         \includegraphics[width=6cm]{multiple_impl_cp_e.eps}
 369                                 }
 370                         }
 371                 \subsubsection*{4.5.2 2 MeV C$^+$ implantation
 372                                                step}
 373                         \begin{center}
 374                         \includegraphics[width=10cm]{multiple_impl_e.eps}
 375                         \end{center}
 376                         Starting point for materials with high photoluminescence.\\
 377                         Dihu Chen et al. Opt. Mater. 23 (2003) 65.
 378
 379         \end{kasten}
 380         \begin{kasten}
 381                 \section*{5 \hspace{0.1cm} {\color{red} Conclusion}}
 382                         \begin{itemize}
 383                 \item selforganized nanometric precipitates by ion irradiation
 384                 \item model describing the seoforganization process
 385                 \item set of parameters reproducing the experimental observations
 386                 \item precipitation process traceable by simulation
 387                 \item detailed structural/compositional information
 388                 \item recipe for broad distributions of lamellar structure
 389                         \end{itemize}
 390         \end{kasten}
 391 \end{spalte}
 392 }
 393 \end{lrbox}
 394 \resizebox*{0.98\textwidth}{!}{%
 395 \usebox{\spalten}}\hfill\mbox{}\vfill
 396
 397 \end{document}