ass5: Look at Ozcan's results
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ozcan-linear.png
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ozcan-linear.png
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@ -165,4 +165,20 @@ Results from previous neutron measurements are found to be consistent with the X
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month = jun,
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year = {1993},
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pages = {3999--4002},
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}
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}
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@article{paglione_quantum_2016,
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title = {Quantum {Critical} {Quasiparticle} {Scattering} within the {Superconducting} {State} of {CeCoIn} 5},
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volume = {117},
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issn = {0031-9007, 1079-7114},
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url = {https://link.aps.org/doi/10.1103/PhysRevLett.117.016601},
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doi = {10.1103/PhysRevLett.117.016601},
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language = {en},
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number = {1},
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urldate = {2022-05-18},
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journal = {Physical Review Letters},
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author = {Paglione, Johnpierre and Tanatar, M. A. and Reid, J.-Ph. and Shakeripour, H. and Petrovic, C. and Taillefer, Louis},
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month = jun,
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year = {2016},
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pages = {016601},
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}
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superconductivity_assignment5_kvkempen.pdf
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superconductivity_assignment5_kvkempen.pdf
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@ -212,7 +212,29 @@ They are, however, kept constant, and $\lambda$ is what is varied by changing th
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With knowledge about $\lambda(0)$ from other sources, $\lambda(T)$ is determined by determining $\Delta \lambda$ from $\delta f$.
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Now the superfluid density can be determined.
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In \cite{ozcan}, heavy-fermion superconductor \ce{CeCoIn5} is investigated using the TDO technique to measure its penetration depth.
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It is an unconventional superconductor, and the question is what type of wave-symmetry it exhibits.
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The paper found a non-linear $\lambda(T)$ relation.
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See figure \ref{fig:linear-lambda} for their results.
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They do conclude that the material is in a $d_{x^2-y^2}$ superconductor ground state.
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I would expect there to be no nodes in the band gap energy, in this case, which however is the case.
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The authors also seem puzzled at the beginning.
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They suspect strong-scattering impurities to alter the $\lambda(T)$ relation.
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To exclude this possibility, they checked a couple of possible explanations.
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Purity was checked and impurity content was determined to be a factor 100 smaller than the deviation in $\lambda(T)$ would imply.
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Other theories were also ruled out, on impossibility of far-fetchedness.
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They conclude by proposing non-Fermi-liquid renormalisation in both the normal and superconducting state of \ce{CeCoIn5} to take place, yielding the well fitting relation as seen in the inset of figure \ref{fig:linear-lambda}.
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This means that their would be quantum criticality in the superconducting state, i.e. a phase transition at zero temperature.
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That would be exotic.
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In conclusion, the behavior of \ce{CeCoIn5} was not explained with certainty at the point this paper was published (2003), although quantum criticality was a possibility.
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However, years later (2014), further research supports their hypothesis \cite{paglione_quantum_2016}.
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\begin{figure}
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\centering
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\includegraphics[width=.6\textwidth]{ozcan-linear.png}
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\caption{For \ce{CeCoIn5}, $\lambda(T) \propto T^2/(T-T^*)$ is plotted in the main plot. In the inset, the concluding hypothesis of the authors \cite{ozcan} is presented, i.e. $\lambda(T) \propto T^{1.5}$.}
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\label{fig:linear-lambda}
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\end{figure}
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\bibliographystyle{vancouver}
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\bibliography{references.bib}
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