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126 lines
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HTML
126 lines
6.0 KiB
HTML
---
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title: Conclusion
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<meta name="generator" content="pandoc" />
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<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes" />
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<title>Conclusion</title>
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<ul>
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<li><a href="#chap:5-conclusion" id="toc-chap:5-conclusion">5 Conclusion</a></li>
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<li><a href="#material-realisations" id="toc-material-realisations">Material Realisations</a>
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<ul>
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<li><a href="#amorphous-materials" id="toc-amorphous-materials">Amorphous Materials</a></li>
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<li><a href="#metal-organic-frameworks" id="toc-metal-organic-frameworks">Metal Organic Frameworks</a></li>
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</ul></li>
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<li><a href="#discussion" id="toc-discussion">Discussion</a></li>
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<li><a href="#outlook" id="toc-outlook">Outlook</a></li>
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<!-- Table of Contents -->
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<!-- <nav id="TOC" role="doc-toc">
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<ul>
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<li><a href="#chap:5-conclusion" id="toc-chap:5-conclusion">5 Conclusion</a></li>
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<li><a href="#material-realisations" id="toc-material-realisations">Material Realisations</a>
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<ul>
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<li><a href="#amorphous-materials" id="toc-amorphous-materials">Amorphous Materials</a></li>
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<li><a href="#metal-organic-frameworks" id="toc-metal-organic-frameworks">Metal Organic Frameworks</a></li>
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</ul></li>
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<li><a href="#discussion" id="toc-discussion">Discussion</a></li>
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<li><a href="#outlook" id="toc-outlook">Outlook</a></li>
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<li><a href="#bibliography" id="toc-bibliography">Bibliography</a></li>
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<div id="page-header">
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<p>5 Conclusion</p>
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<hr />
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</div>
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<section id="chap:5-conclusion" class="level1">
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<h1>5 Conclusion</h1>
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<p>Using exactly solvable systems as a way to look at the physics of many-body interacting systems. Another theme from the two models is that longer range correlations from criticality in the LRFK model and anti-correlations in the topological disorder in the AK model, lead to a wider range of effects that short range correlations.</p>
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<p>paragraph about topological order as new addition to the pantheon of spontaneously broken symmetries</p>
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<p>FK model as a way to probe the Mott insulator state. Also the Mott insulator gives rise to the QSl and the doped Mott Insulator may be the source of the sought after High-<span class="math inline">\(T_c\)</span> superconductor. The concept of quantum orders is relevant because for instance, if we can classify the kinds of order in the MI state, we can classify the kinds of high-<span class="math inline">\(T_c\)</span> theories that can emerge from them.</p>
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<p>Xiao-Gang Wen <span class="citation" data-cites="wenQuantumOrdersSymmetric2002"> [<a href="#ref-wenQuantumOrdersSymmetric2002" role="doc-biblioref">1</a>]</span> when talks about quantum orders as a those that arise within quantum states at zero temperature, included QSLs, FQH states and superconductors<a href="#fn1" class="footnote-ref" id="fnref1" role="doc-noteref"><sup>1</sup></a>. He also argues that the High-<span class="math inline">\(T_c\)</span> superconductors is in terms of them being doped Mott insulators so that we should try to understand the QSL which emerges from the undoped Mott insulator (at half filling).</p>
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<p>The existence of distinct, spatially limited quasiparticle excitations is not obvious.</p>
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<p>emergent gauge physics, could condensed matter systems be useful in understanding the standard model too?</p>
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<p>Electron-electron interactions play a dominant role in determining electronic and thermodynamic properties in these strongly correlated materials.</p>
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<p>Specific examples where strongly correlated materials may figure prominently are high temperature superconductors and hard magnets without rare earth elements.</p>
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</section>
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<section id="material-realisations" class="level1">
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<h1>Material Realisations</h1>
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<section id="amorphous-materials" class="level2">
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<h2>Amorphous Materials</h2>
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</section>
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<section id="metal-organic-frameworks" class="level2">
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<h2>Metal Organic Frameworks</h2>
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</section>
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</section>
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<section id="discussion" class="level1">
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<h1>Discussion</h1>
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</section>
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<section id="outlook" class="level1">
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<h1>Outlook</h1>
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<p>Next Chapter: <a href="../6_Appendices/A.1.2_Fermion_Free_Energy.html">Appendices</a></p>
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</section>
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<section id="bibliography" class="level1 unnumbered">
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<h1 class="unnumbered">Bibliography</h1>
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<div id="refs" class="references csl-bib-body" role="doc-bibliography">
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<div id="ref-wenQuantumOrdersSymmetric2002" class="csl-entry" role="doc-biblioentry">
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<div class="csl-left-margin">[1] </div><div class="csl-right-inline">X.-G. Wen, <em><a href="https://doi.org/10.1103/PhysRevB.65.165113">Quantum Orders and Symmetric Spin Liquids</a></em>, Phys. Rev. B <strong>65</strong>, 165113 (2002).</div>
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</div>
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</div>
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</section>
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<section class="footnotes footnotes-end-of-document" role="doc-endnotes">
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<hr />
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<ol>
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<li id="fn1" role="doc-endnote"><p>Wen argues that superconductors cannot be characterised be a local order parameter in the way that superfluids can.<a href="#fnref1" class="footnote-back" role="doc-backlink">↩︎</a></p></li>
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</ol>
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</section>
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</main>
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</body>
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</html>
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