initial commit
This commit is contained in:
1
.gitattributes
vendored
Normal file
1
.gitattributes
vendored
Normal file
@@ -0,0 +1 @@
|
||||
* text=auto
|
||||
19
.gitignore
vendored
Normal file
19
.gitignore
vendored
Normal file
@@ -0,0 +1,19 @@
|
||||
.idea
|
||||
dist
|
||||
|
||||
*.aux
|
||||
*.fdb_latexmk
|
||||
*.fls
|
||||
*.tdo
|
||||
*.toc
|
||||
*.log
|
||||
*.pdf
|
||||
*.jpg
|
||||
*.bbl
|
||||
*.bcf
|
||||
*.blg
|
||||
*.run.xml
|
||||
*.csv
|
||||
*.out
|
||||
|
||||
*.nb
|
||||
263
bibliography.bib
Normal file
263
bibliography.bib
Normal file
@@ -0,0 +1,263 @@
|
||||
@article{Gao2008,
|
||||
doi = {10.1007/s10909-007-9688-z},
|
||||
url = {https://doi.org/10.1007/s10909-007-9688-z},
|
||||
year = {2008},
|
||||
month = jan,
|
||||
publisher = {Springer Science and Business Media {LLC}},
|
||||
volume = {151},
|
||||
number = {1-2},
|
||||
pages = {557--563},
|
||||
author = {J. Gao and J. Zmuidzinas and A. Vayonakis and P. Day and B. Mazin and H. Leduc},
|
||||
title = {Equivalence of the Effects on the Complex Conductivity of Superconductor due to Temperature Change and~External Pair Breaking},
|
||||
journal = {Journal of Low Temperature Physics}
|
||||
}
|
||||
|
||||
@article{Nam1967,
|
||||
doi = {10.1103/physrev.156.470},
|
||||
url = {https://doi.org/10.1103/physrev.156.470},
|
||||
year = {1967},
|
||||
month = apr,
|
||||
publisher = {American Physical Society ({APS})},
|
||||
volume = {156},
|
||||
number = {2},
|
||||
pages = {470--486},
|
||||
author = {Sang Boo Nam},
|
||||
title = {Theory of Electromagnetic Properties of Superconducting and Normal Systems. {I}},
|
||||
journal = {Physical Review}
|
||||
}
|
||||
|
||||
@book{SolyomV3,
|
||||
doi = {10.1007/978-3-642-04518-9},
|
||||
url = {https://doi.org/10.1007/978-3-642-04518-9},
|
||||
year = {2010},
|
||||
publisher = {Springer Berlin Heidelberg},
|
||||
author = {Jen{\H{o}} S{\'{o}}lyom},
|
||||
title = {Fundamentals of the Physics of Solids},
|
||||
subtitle = {Normal, Broken-Symmetry, and Correlated Systems},
|
||||
volume = {3},
|
||||
}
|
||||
|
||||
@article{Henkel1999,
|
||||
doi = {10.1007/s003400050823},
|
||||
url = {https://doi.org/10.1007/s003400050823},
|
||||
year = {1999},
|
||||
month = dec,
|
||||
publisher = {Springer Science and Business Media {LLC}},
|
||||
volume = {69},
|
||||
number = {5-6},
|
||||
pages = {379--387},
|
||||
author = {C. Henkel and S. P\"{o}tting and M. Wilkens},
|
||||
title = {Loss and heating of particles in small and noisy traps},
|
||||
journal = {Applied Physics B}
|
||||
}
|
||||
|
||||
@article{QubitRelax,
|
||||
doi = {10.1103/physreva.86.010301},
|
||||
url = {https://doi.org/10.1103/physreva.86.010301},
|
||||
year = {2012},
|
||||
month = jul,
|
||||
publisher = {American Physical Society ({APS})},
|
||||
volume = {86},
|
||||
number = {1},
|
||||
author = {Luke S. Langsjoen and Amrit Poudel and Maxim G. Vavilov and Robert Joynt},
|
||||
title = {Qubit relaxation from evanescent-wave Johnson noise},
|
||||
journal = {Physical Review A}
|
||||
}
|
||||
|
||||
@incollection{Pippard,
|
||||
doi = {10.1016/s0065-2539(08)60130-4},
|
||||
url = {https://doi.org/10.1016/s0065-2539(08)60130-4},
|
||||
year = {1954},
|
||||
publisher = {Elsevier},
|
||||
pages = {1--45},
|
||||
author = {A.B. Pippard},
|
||||
title = {Metallic Conduction at High Frequencies and Low Temperatures},
|
||||
booktitle = {Advances in Electronics and Electron Physics Volume 6}
|
||||
}
|
||||
|
||||
@article{Churchill2016,
|
||||
doi = {10.1103/physrevb.94.235422},
|
||||
url = {https://doi.org/10.1103/physrevb.94.235422},
|
||||
year = {2016},
|
||||
month = dec,
|
||||
publisher = {American Physical Society ({APS})},
|
||||
volume = {94},
|
||||
number = {23},
|
||||
author = {R. J. Churchill and T. G. Philbin},
|
||||
title = {Electromagnetic reflection, transmission, and energy density at boundaries of nonlocal media},
|
||||
journal = {Physical Review B}
|
||||
}
|
||||
|
||||
@book{AGD,
|
||||
author = {Abrikosov, A A and Dzyaloshinskii, I and Gorkov, L P and Silverman, Richard A},
|
||||
title = {Methods of quantum field theory in statistical physics},
|
||||
publisher = {Dover},
|
||||
address = {New York, NY},
|
||||
year = {1975},
|
||||
}
|
||||
|
||||
@article{Zimmermann1991,
|
||||
doi = {10.1016/0921-4534(91)90771-p},
|
||||
url = {https://doi.org/10.1016/0921-4534(91)90771-p},
|
||||
year = {1991},
|
||||
month = nov,
|
||||
publisher = {Elsevier {BV}},
|
||||
volume = {183},
|
||||
number = {1-3},
|
||||
pages = {99--104},
|
||||
author = {W. Zimmermann and E.H. Brandt and M. Bauer and E. Seider and L. Genzel},
|
||||
title = {Optical conductivity of {BCS} superconductors with arbitrary purity},
|
||||
journal = {Physica C: Superconductivity}
|
||||
}
|
||||
|
||||
@article{Ford1984,
|
||||
doi = {10.1016/0370-1573(84)90098-x},
|
||||
url = {https://doi.org/10.1016/0370-1573(84)90098-x},
|
||||
year = {1984},
|
||||
month = nov,
|
||||
publisher = {Elsevier {BV}},
|
||||
volume = {113},
|
||||
number = {4},
|
||||
pages = {195--287},
|
||||
author = {G.W. Ford and W.H. Weber},
|
||||
title = {Electromagnetic interactions of molecules with metal surfaces},
|
||||
journal = {Physics Reports}
|
||||
}
|
||||
|
||||
@article{Agarwal1975,
|
||||
doi = {10.1103/physreva.11.230},
|
||||
url = {https://doi.org/10.1103/physreva.11.230},
|
||||
year = {1975},
|
||||
month = jan,
|
||||
publisher = {American Physical Society ({APS})},
|
||||
volume = {11},
|
||||
number = {1},
|
||||
pages = {230--242},
|
||||
author = {G. S. Agarwal},
|
||||
title = {Quantum electrodynamics in the presence of dielectrics and conductors. I. Electromagnetic-field response functions and black-body fluctuations in finite geometries},
|
||||
journal = {Physical Review A}
|
||||
}
|
||||
|
||||
@article{Nam1967_Part2,
|
||||
doi = {10.1103/physrev.156.487},
|
||||
url = {https://doi.org/10.1103/physrev.156.487},
|
||||
year = {1967},
|
||||
month = apr,
|
||||
publisher = {American Physical Society ({APS})},
|
||||
volume = {156},
|
||||
number = {2},
|
||||
pages = {487--493},
|
||||
author = {Sang Boo Nam},
|
||||
title = {Theory of Electromagnetic Properties of Strong-Coupling and Impure Superconductors. {II}},
|
||||
journal = {Physical Review}
|
||||
}
|
||||
|
||||
@article{Tenberg2019,
|
||||
doi = {10.1103/physrevb.99.205306},
|
||||
url = {https://doi.org/10.1103/physrevb.99.205306},
|
||||
year = {2019},
|
||||
month = may,
|
||||
publisher = {American Physical Society ({APS})},
|
||||
volume = {99},
|
||||
number = {20},
|
||||
author = {Stefanie B. Tenberg and Serwan Asaad and Mateusz T. M{\k{a}}dzik and Mark A. I. Johnson and Benjamin Joecker and Arne Laucht and Fay E. Hudson and Kohei M. Itoh and A. Malwin Jakob and Brett C. Johnson and David N. Jamieson and Jeffrey C. McCallum and Andrew S. Dzurak and Robert Joynt and Andrea Morello},
|
||||
title = {Electron spin relaxation of single phosphorus donors in metal-oxide-semiconductor nanoscale devices},
|
||||
journal = {Physical Review B}
|
||||
}
|
||||
|
||||
@article{Kolkowitz2015,
|
||||
doi = {10.1126/science.aaa4298},
|
||||
url = {https://doi.org/10.1126/science.aaa4298},
|
||||
year = {2015},
|
||||
month = jan,
|
||||
publisher = {American Association for the Advancement of Science ({AAAS})},
|
||||
volume = {347},
|
||||
number = {6226},
|
||||
pages = {1129--1132},
|
||||
author = {S. Kolkowitz and A. Safira and A. A. High and R. C. Devlin and S. Choi and Q. P. Unterreithmeier and D. Patterson and A. S. Zibrov and V. E. Manucharyan and H. Park and M. D. Lukin},
|
||||
title = {Probing Johnson noise and ballistic transport in normal metals with a single-spin qubit},
|
||||
journal = {Science}
|
||||
}
|
||||
|
||||
@book{llv9,
|
||||
place={Oxford},
|
||||
title={Statistical Physics. Part 2},
|
||||
volume={9},
|
||||
publisher={Pergamon Press},
|
||||
author={Lifshitz, Evgenii Mikhailovich. and Pitaevskii, Lev Petrovich.},
|
||||
year={1980}
|
||||
}
|
||||
|
||||
@book{Tinkham,
|
||||
title={Introduction to Superconductivity},
|
||||
author={Michael Tinkham},
|
||||
edition = 2,
|
||||
isbn={9780486435039},
|
||||
lccn={95022378},
|
||||
series={Dover Books on Physics},
|
||||
year={2004},
|
||||
publisher={Dover Publications},
|
||||
location={Mineola, N.Y.},
|
||||
}
|
||||
|
||||
@article{Mattis,
|
||||
doi = {10.1103/physrev.111.412},
|
||||
url = {https://doi.org/10.1103/physrev.111.412},
|
||||
year = {1958},
|
||||
month = jul,
|
||||
publisher = {American Physical Society ({APS})},
|
||||
volume = {111},
|
||||
number = {2},
|
||||
pages = {412--417},
|
||||
author = {D. C. Mattis and J. Bardeen},
|
||||
title = {Theory of the Anomalous Skin Effect in Normal and Superconducting Metals},
|
||||
journal = {Physical Review}
|
||||
}
|
||||
|
||||
@book{FetterWalecka,
|
||||
address = {Boston},
|
||||
author = {Fetter, A. L. and Walecka, J. D.},
|
||||
publisher = {McGraw-Hill},
|
||||
title = {Quantum Theory of Many-Particle Systems},
|
||||
year = 1971
|
||||
}
|
||||
|
||||
@article{Lindhard,
|
||||
title = {ON THE PROPERTIES OF A GAS OF CHARGED PARTICLES},
|
||||
author = {Lindhard, J},
|
||||
abstractNote = {},
|
||||
doi = {},
|
||||
journal = {Kgl. Danske Videnskab. Selskab Mat.-fys. Medd.},
|
||||
number = 8,
|
||||
volume = 28,
|
||||
year = {1954},
|
||||
month = {1}
|
||||
}
|
||||
|
||||
@article{OwenScalapino,
|
||||
doi = {10.1103/physrevlett.28.1559},
|
||||
url = {https://doi.org/10.1103/physrevlett.28.1559},
|
||||
year = {1972},
|
||||
month = jun,
|
||||
publisher = {American Physical Society ({APS})},
|
||||
volume = {28},
|
||||
number = {24},
|
||||
pages = {1559--1561},
|
||||
author = {C. S. Owen and D. J. Scalapino},
|
||||
title = {Superconducting State under the Influence of External Dynamic Pair Breaking},
|
||||
journal = {Physical Review Letters}
|
||||
}
|
||||
|
||||
@article{BCS,
|
||||
doi = {10.1103/physrev.108.1175},
|
||||
url = {https://doi.org/10.1103/physrev.108.1175},
|
||||
year = {1957},
|
||||
month = dec,
|
||||
publisher = {American Physical Society ({APS})},
|
||||
volume = {108},
|
||||
number = {5},
|
||||
pages = {1175--1204},
|
||||
author = {J. Bardeen and L. N. Cooper and J. R. Schrieffer},
|
||||
title = {Theory of Superconductivity},
|
||||
journal = {Physical Review}
|
||||
}
|
||||
33
do.sh
Normal file
33
do.sh
Normal file
@@ -0,0 +1,33 @@
|
||||
#!/usr/bin/env sh
|
||||
# Do - The Simplest Build Tool on Earth.
|
||||
# Documentation and examples see https://github.com/8gears/do
|
||||
|
||||
set -Eeuo pipefail # -e "Automatic exit from bash shell script on error" -u "Treat unset variables and parameters as errors"
|
||||
|
||||
build() {
|
||||
echo "I am ${FUNCNAME[0]}ing"
|
||||
latexmk -pdflatex="luahblatex %O %S" -pdf -dvi- -ps- -quiet -logfilewarninglist
|
||||
}
|
||||
|
||||
all() {
|
||||
build
|
||||
}
|
||||
|
||||
clean() {
|
||||
echo "I am ${FUNCNAME[0]}ing"
|
||||
latexmk -C
|
||||
rm -f *.bbl *.run.xml
|
||||
}
|
||||
|
||||
tidy() {
|
||||
echo "I am ${FUNCNAME[0]}ing"
|
||||
latexmk -c
|
||||
}
|
||||
|
||||
_hidden() {
|
||||
echo "I am a hidden task and won't appear in the usage desciption because I start with an _ (underscore). If you know me you can still call me directly"
|
||||
}
|
||||
|
||||
"$@" # <- execute the task
|
||||
|
||||
[ "$#" -gt 0 ] || printf "Usage:\n\t./do.sh %s\n" "($(compgen -A function | grep '^[^_]' | paste -sd '|' -))"
|
||||
42
main.tex
Normal file
42
main.tex
Normal file
@@ -0,0 +1,42 @@
|
||||
\documentclass{article}
|
||||
|
||||
%other packages
|
||||
\usepackage{amsmath}
|
||||
\usepackage{amssymb}
|
||||
\usepackage{physics}
|
||||
|
||||
\usepackage[
|
||||
style=phys, articletitle=false, biblabel=brackets, chaptertitle=false, pageranges=false, url=true
|
||||
]{biblatex}
|
||||
|
||||
\usepackage{graphicx}
|
||||
\usepackage{todonotes}
|
||||
\usepackage{siunitx}
|
||||
|
||||
\usepackage[compat=1.0.0]{tikz-feynman}
|
||||
|
||||
\usepackage{cleveref}
|
||||
|
||||
\title{Notes on the free energy calculation for Owen-Scalapino}
|
||||
\date{2020-12-15}
|
||||
|
||||
\addbibresource{./bibliography.bib}
|
||||
|
||||
\graphicspath{{./figures/}}
|
||||
|
||||
\newcommand{\pf}{p_{\mathrm{F}}}
|
||||
\newcommand{\vf}{v_{\mathrm{F}}}
|
||||
\newcommand{\corr}{\mu^\ast}
|
||||
\DeclareMathOperator{\sgn}{sgn}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\maketitle
|
||||
|
||||
We are interested in the free energy calculation because we want to be able to correctly limit the range of superconducting behaviour for Owen-Scalapino.
|
||||
As seen in~\cite{OwenScalapino}, the superconducting state is restricted in its temperature range, with the traditional $T_c$ lowered and with an additional lower critical temperature below which the material returns to the normal state.
|
||||
There are some subtleties with how we need to handle this calculation in the OS case, which we will discuss.
|
||||
|
||||
\printbibliography
|
||||
|
||||
\end{document}
|
||||
Reference in New Issue
Block a user