89 lines
3.3 KiB
TeX
89 lines
3.3 KiB
TeX
\documentclass[a4paper, 11pt]{article}
|
|
\usepackage[utf8]{inputenc}
|
|
|
|
% Took inspiration from
|
|
% https://www.overleaf.com/latex/templates/tarea-mfm-ii/rkqcbsjyyksm
|
|
|
|
% From aga-homework.cls
|
|
\usepackage[
|
|
a4paper,
|
|
headheight = 20pt,
|
|
margin = 1in,
|
|
tmargin = \dimexpr 1in - 10pt \relax
|
|
]{geometry}
|
|
|
|
\usepackage{fancyhdr} % for headers and footers
|
|
\usepackage{graphicx} % for including figures
|
|
%\usepackage{mathpazo} % use Palation font
|
|
%\usepackage{amsmath} % use AMS math package
|
|
%\usepackage{amssymb} % use AMS symbols
|
|
%\usepackage{amsthm} % for writing proofs
|
|
%\usepackage{array} % for setting up arguments to columns
|
|
\usepackage{booktabs} % for professional tables
|
|
%\usepackage%
|
|
% [tworuled, linesnumbered, noend, noline]%
|
|
% {algorithm2e} % for typesetting pseudo-code
|
|
%\usepackage{xcolor} % for colored text (comments in algorithms)
|
|
%\usepackage{trimspaces, xstring} % for multiple author parsing
|
|
\setlength{\headheight}{14pt}
|
|
|
|
|
|
\fancypagestyle{plain}{
|
|
\fancyhf{}
|
|
\fancyhead[L]{\sffamily Radboud University Nijmegen}
|
|
\fancyhead[R]{\sffamily Superconductivity (NWI-NM117), Q3+Q4}
|
|
\fancyfoot[R]{\sffamily\bfseries\thepage}
|
|
\renewcommand{\headrulewidth}{0.5pt}
|
|
\renewcommand{\footrulewidth}{0.5pt}
|
|
}
|
|
\pagestyle{fancy}
|
|
|
|
\usepackage{siunitx}
|
|
\usepackage{hyperref}
|
|
%\usepackage{href}
|
|
%\usepackage[nottoc,numbib]{tocbibind}
|
|
\usepackage{float}
|
|
|
|
\title{Superconductivity - Assignment 1}
|
|
\author{
|
|
Kees van Kempen (s4853628)\\
|
|
\texttt{k.vankempen@student.science.ru.nl}
|
|
}
|
|
\AtBeginDocument{\maketitle}
|
|
|
|
|
|
\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}
|
|
\bibliography{references.bib}
|
|
|
|
\appendix
|
|
\section{Superconducting elements}
|
|
\label{appendix:scelements}
|
|
\input{sc_elements.tex}
|
|
|
|
\end{document}
|