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	\fancyhead[L]{\sffamily Radboud University Nijmegen}
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\title{Superconductivity - Assignment 1}
\author{
	Kees van Kempen (s4853628)\\
	\texttt{k.vankempen@student.science.ru.nl}
}
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\begin{document}

\section{Electron-phonon coupling in elements}
The data on critical temperatures $T_c$ and (approximately) room temperature resistivity $\rho_{\SI{300}{\kelvin}}$ is from varies sources, as can be found in the table in appendix \ref{appendix:scelements}.

\begin{figure}[H]
	\includegraphics[width=\textwidth]{sc_elements.pdf}
	\caption{In this plot of the critical temperature $T_c$ versus the room temperature resistivity $\rho_{300K}$ for elemental superconductors, not one clear relation can be distinguished. For most elements, resistivity is taken at room temperature $T = \SI{300}{\kelvin}$. If it was unavailable in consulted references, the value at the temperature closest to \SI{300}{\kelvin} was chosen. See the table in appendix \ref{appendix:scelements} for the raw data including their source. The mess in the left bottom corner was hard to filter out. A log-log plot was attempted and improved separation, but obscured the observed form.}
\end{figure}

As a way to quantize the (lack of) linear correlation, the calculated Pearson correlation coefficient $r = 0.165415$, suggesting a slightly positive but uncertain correlation.
% I used df.corr() to calculate $r$.

\section{Exam question electrodynamics in superconductors}
No idea yet.

\section{Difference between type-I and type-II superconductors}
Type-I superconductors are thought to be described by BCS theory.
They are phonon-mediated.
They have different phase diagrams from type-II superconductors,
with two critical fields but one critical temperature.
There is a superconducting phase and a vortex phase.

Something about quantized flux by the Meissner-Ochsenfeld effect.

\bibliographystyle{vancouver}
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\appendix
\section{Superconducting elements}
\label{appendix:scelements}
\input{sc_elements.tex}

\end{document}