2022-08-08 11:59:36 +01:00

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<ul>
<li>Introduction</li>
<ul><ul>
<li><a href="./0.1_Intro.html#themes">Themes</a></li>
</ul></ul>
<li>Chapter 1: The Long Range Falikov-Kimball Model</li>
<ul>
<li><a href="./1.1_FK_Intro.html#contributions">Contributions</a></li>
<li><a href="./1.1_FK_Intro.html#introduction">Introduction</a></li>
<ul>
<li><a href="./1.1_FK_Intro.html#localisation">Localisation</a></li>
<li><a href="./1.1_FK_Intro.html#falikov-kimball-and-hubbard-models">Falikov Kimball and Hubbard models</a></li>
<li><a href="./1.1_FK_Intro.html#localisation">Localisation</a></li>
<li><a href="./1.1_FK_Intro.html#numerical-methods">Numerical Methods</a></li>
<li><a href="./1.1_FK_Intro.html#markov-chain-monte-carlo-in-practice}">Markov Chain Monte-Carlo in Practice}</a></li>
</ul></ul>
<li>Chapter 2: The Amorphous Kitaev Model</li>
<ul>
<li><a href="./2.1_AMK_Intro.html#contributions">Contributions</a></li>
<li><a href="./2.1_AMK_Intro.html#introduction">Introduction</a></li>
<ul>
<li><a href="./2.1_AMK_Intro.html#amorphous-systems">Amorphous Systems</a></li>
<li><a href="./2.1_AMK_Intro.html#glossary">Glossary</a></li>
<li><a href="./2.1_AMK_Intro.html#the-kitaev-model">The Kitaev Model</a></li>
<li><a href="./2.1_AMK_Intro.html#the-majorana-hamiltonian">The Majorana Hamiltonian</a></li>
<li><a href="./2.1.2_AMK_Intro.html#gauge-fields">Gauge Fields</a></li>
<li><a href="./2.1.2_AMK_Intro.html#the-projector">The Projector</a></li>
<li><a href="./2.1.2_AMK_Intro.html#the-ground-state">The Ground State</a></li>
<li><a href="./2.1.2_AMK_Intro.html#phases-of-the-kitaev-model">Phases of the Kitaev Model</a></li>
<li><a href="./2.1.2_AMK_Intro.html#what-is-so-great-about-two-dimensions?">What is so great about two dimensions?</a></li>
</ul>
<li><a href="./2.2_AMK_Methods.html#methods">Methods</a></li>
<ul>
<li><a href="./2.2_AMK_Methods.html#voronisation">Voronisation</a></li>
<li><a href="./2.2_AMK_Methods.html#graph-representation">Graph Representation</a></li>
<li><a href="./2.2_AMK_Methods.html#colouring-the-bonds">Colouring the Bonds</a></li>
<li><a href="./2.2_AMK_Methods.html#mapping-between-flux-sectors-and-bond-sectors">Mapping between flux sectors and bond sectors</a></li>
<li><a href="./2.2_AMK_Methods.html#chern-markers">Chern Markers</a></li>
</ul>
<li><a href="./2.3_AMK_Results.html#results">Results</a></li>
<ul>
<li><a href="./2.3_AMK_Results.html#the-ground-state-flux-sector">The Ground State Flux Sector</a></li>
<li><a href="./2.3_AMK_Results.html#spontaneous-chiral-symmetry-breaking">Spontaneous Chiral Symmetry Breaking</a></li>
<li><a href="./2.3_AMK_Results.html#ground-state-phase-diagram">Ground State Phase Diagram</a></li>
<li><a href="./2.3_AMK_Results.html#anderson-transition-to-a-thermal-metal">Anderson Transition to a Thermal Metal</a></li>
</ul>
<li><a href="./2.3_AMK_Results.html#conclusion">Conclusion</a></li>
<li><a href="./2.3_AMK_Results.html#discussion">Discussion</a></li>
<ul>
<li><a href="./2.3_AMK_Results.html#limits-of-the-ground-state-conjecture">Limits of the ground state conjecture</a></li>
</ul>
<li><a href="./2.3_AMK_Results.html#outlook">Outlook</a></li>
<ul>
<li><a href="./2.3_AMK_Results.html#experimental-realisations-and-signatures">Experimental Realisations and Signatures</a></li>
<li><a href="./2.3_AMK_Results.html#generalisations">Generalisations</a></li>
</ul></ul>
<li>Conclusion</li>
<ul><ul>
<li><a href="./3.1_Conclusion.html#discussion">Discussion</a></li>
<li><a href="./3.1_Conclusion.html#future-work">Future Work</a></li>