finished prec model
[lectures/latex.git] / posic / talks / seminar_2010.tex
index 9743c73..67de04d 100644 (file)
@@ -26,6 +26,8 @@
 \usepackage{graphicx}
 \graphicspath{{../img/}}
 
+\usepackage{miller}
+
 \usepackage[setpagesize=false]{hyperref}
 
 \usepackage{semcolor}
 }
 
  \begin{itemize}
-  \item Fabrication of silicon carbide and different polytypes
-  \item Precipitation model of 3C-SiC in Si
+  \item Polyteps and fabrication of silicon carbide
+  \item Supposed precipitation mechanism of SiC in Si
   \item Utilized simulation techniques
         \begin{itemize}
          \item Molecular dynamics (MD) simulations
 
  \small
 
-\begin{tabular}{l c c c c c c}
+\begin{tabular}{l c c c c c c}
 \hline
  & 3C-SiC & 4H-SiC & 6H-SiC & Si & GaN & Diamond\\
 \hline
-Hardness [Mohs] & 9.6 & & & 6.5 & & 10 \\
+Hardness [Mohs] & \multicolumn{3}{c}{------ 9.6 ------}& 6.5 & - & 10 \\
 Band gap [eV] & 2.36 & 3.23 & 3.03 & 1.12 & 3.39 & 5.5 \\
-Break down field [$10^6$ V/cm] & & & & & & \\
-Saturation drift velocity [] & & & & & & \\
-Electron mobility [] & & & & & & \\
-Hole mobility [] & & & & & & \\
-Thermal conductivity [] & & & & & & \\
+Break down field [$10^6$ V/cm] & 4 & 3 & 3.2 & 0.6 & 5 & 10 \\
+Saturation drift velocity [$10^7$ cm/s] & 2.5 & 2.0 & 2.0 & 1 & 2.7 & 2.7 \\
+Electron mobility [cm$^2$/Vs] & 800 & 900 & 400 & 1100 & 900 & 2200 \\
+Hole mobility [cm$^2$/Vs] & 320 & 120 & 90 & 420 & 150 & 1600 \\
+Thermal conductivity [W/cmK] & 5.0 & 4.9 & 4.9 & 1.5 & 1.3 & 22 \\
 \hline
 \end{tabular}
 
+{\tiny
+ Values for $T=300$ K
+}
+
 \begin{picture}(0,0)(-160,-155)
  \includegraphics[width=7cm]{polytypes.eps}
 \end{picture}
+\begin{picture}(0,0)(-10,-185)
+ \includegraphics[width=3.8cm]{cubic_hex.eps}\\
+\end{picture}
+\begin{picture}(0,0)(-10,-175)
+ {\tiny cubic (twist)}
+\end{picture}
+\begin{picture}(0,0)(-60,-175)
+ {\tiny hexagonal (no twist)}
+\end{picture}
+\begin{pspicture}(0,0)(0,0)
+\psellipse[linecolor=green](5.7,3.03)(0.4,0.5)
+\end{pspicture}
+\begin{pspicture}(0,0)(0,0)
+\psellipse[linecolor=green](5.6,1.68)(0.4,0.2)
+\end{pspicture}
+\begin{pspicture}(0,0)(0,0)
+\psellipse[linecolor=red](10.7,1.13)(0.4,0.2)
+\end{pspicture}
 
 \end{slide}
 
@@ -285,4 +309,131 @@ Thermal conductivity [] & & & & & & \\
 
 \end{slide}
 
+\begin{slide}
+
+ {\large\bf
+  Fabrication of silicon carbide
+ }
+
+ \small
+
+ Alternative approach:
+ Ion beam synthesis (IBS) of burried 3C-SiC layers in Si\hkl(1 0 0)
+ \begin{itemize}
+  \item \underline{Implantation step 1}\\
+        180 keV C$^+$, $D=7.9\times 10^{17}$ cm$^{-2}$, $T_{\text{i}}=500\,^{\circ}\mathrm{C}$\\
+        $\Rightarrow$ box-like distribution of equally sized
+                       and epitactically oriented SiC precipitates
+                       
+  \item \underline{Implantation step 2}\\
+        180 keV C$^+$, $D=0.6\times 10^{17}$ cm$^{-2}$, $T_{\text{i}}=250\,^{\circ}\mathrm{C}$\\
+        $\Rightarrow$ destruction of SiC nanocrystals
+                      in growing amorphous interface layers
+  \item \underline{Annealing}\\
+        $T=1250\,^{\circ}\mathrm{C}$, $t=10\,\text{h}$\\
+        $\Rightarrow$ homogeneous, stoichiometric SiC layer
+                      with sharp interfaces
+ \end{itemize}
+
+ \begin{minipage}{6.3cm}
+ \includegraphics[width=6cm]{ibs_3c-sic.eps}\\[-0.2cm]
+ {\tiny
+  XTEM micrograph of single crystalline 3C-SiC in Si\hkl(1 0 0)
+ }
+ \end{minipage}
+ \begin{minipage}{6.3cm}
+ \begin{center}
+ {\color{blue}\bf\normalsize
+  Precipitation mechanism not yet fully understood!
+ }
+ \renewcommand\labelitemi{$\Rightarrow$}
+ \small
+ \underline{Understanding the SiC precipitation}
+ \begin{itemize}
+  \item significant technological progress in SiC thin film formation
+  \item perspectives for processes relying upon prevention of SiC precipitation
+ \end{itemize}
+ \end{center}
+ \end{minipage}
+\end{slide}
+
+\begin{slide}
+
+ {\large\bf
+  Supposed precipitation mechanism of SiC in Si
+ }
+
+ \scriptsize
+
+ \vspace{0.1cm}
+
+ \begin{minipage}{3.8cm}
+ Si \& SiC lattice structure\\[0.2cm]
+ \includegraphics[width=3.5cm]{sic_unit_cell.eps}\\[-0.3cm]
+ \hrule
+ \end{minipage}
+ \hspace{0.6cm}
+ \begin{minipage}{3.8cm}
+ \begin{center}
+ \includegraphics[width=3.3cm]{tem_c-si-db.eps}
+ \end{center}
+ \end{minipage}
+ \hspace{0.6cm}
+ \begin{minipage}{3.8cm}
+ \begin{center}
+ \includegraphics[width=3.3cm]{tem_3c-sic.eps}
+ \end{center}
+ \end{minipage}
+
+ \begin{minipage}{4cm}
+ \begin{center}
+ C-Si dimers (dumbbells)\\[-0.1cm]
+ on Si interstitial sites
+ \end{center}
+ \end{minipage}
+ \hspace{0.2cm}
+ \begin{minipage}{4.2cm}
+ \begin{center}
+ Agglomeration of C-Si dumbbells\\[-0.1cm]
+ $\Rightarrow$ dark contrasts
+ \end{center}
+ \end{minipage}
+ \hspace{0.2cm}
+ \begin{minipage}{4cm}
+ \begin{center}
+ Precipitation of 3C-SiC in Si\\[-0.1cm]
+ $\Rightarrow$ Moir\'e fringes\\[-0.1cm]
+ \& release of Si self-interstitials
+ \end{center}
+ \end{minipage}
+
+ \begin{minipage}{3.8cm}
+ \begin{center}
+ \includegraphics[width=3.3cm]{sic_prec_seq_01.eps}
+ \end{center}
+ \end{minipage}
+ \hspace{0.6cm}
+ \begin{minipage}{3.8cm}
+ \begin{center}
+ \includegraphics[width=3.3cm]{sic_prec_seq_02.eps}
+ \end{center}
+ \end{minipage}
+ \hspace{0.6cm}
+ \begin{minipage}{3.8cm}
+ \begin{center}
+ \includegraphics[width=3.3cm]{sic_prec_seq_03.eps}
+ \end{center}
+ \end{minipage}
+
+\begin{pspicture}(0,0)(0,0)
+\psline[linewidth=4pt]{->}(8.5,2)(9.0,2)
+\psellipse[linecolor=blue](11.5,5.8)(0.3,0.5)
+\rput{-20}{\psellipse[linecolor=blue](3.3,8.1)(0.3,0.5)}
+%\rput{-20}{\psellipse[linecolor=blue](6,6.5)(0.3,0.5)}
+\psline[linewidth=4pt]{->}(4.0,2)(4.5,2)
+\end{pspicture}
+\end{slide}
+
 \end{document}