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title: Interacting quantum many body systems I have known and loved
layout: default
permalink: /thesis/
---
        
  <ul>
  <li>Introduction</li>
      <ul><ul>
      <li><a href="./0.1_Intro.html#themes">Themes</a></li>
  </ul></ul>
  <li>The Long Range Falikov-Kimball Model</li>
    <ul>
    <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>
  </ul></ul>
  <li>The Amorphous Kitaev Model</li>
    <ul>
    <li><a href="./2.1_AMK_Intro.html#introduction">Introduction</a></li>
      <ul>
      <li><a href="./2.1_AMK_Intro.html#chapter-outline">Chapter outline</a></li>
      <li><a href="./2.1_AMK_Intro.html#kitaev-heisenberg-model">Kitaev-Heisenberg Model</a></li>
    </ul>
    <li><a href="./2.1_AMK_Intro.html#an-in-depth-look-at-the-kitaev-model">An in-depth look at the Kitaev Model</a></li>
      <ul>
      <li><a href="./2.1_AMK_Intro.html#commutation-relations">Commutation relations</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#coloring-the-bonds">Coloring the Bonds</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">The Ground State</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#the-flux-gap">The Flux Gap</a></li>
    </ul>
    <li><a href="./2.3_AMK_Results.html#conclusion">Conclusion</a></li>
      <ul>
      <li><a href="./2.3_AMK_Results.html#discussion">Discussion</a></li>
      <li><a href="./2.3_AMK_Results.html#future-work">Future Work</a></li>
      <li><a href="./2.3_AMK_Results.html#fluxes-and-the-ground-state">Fluxes and the Ground State</a></li>
      <li><a href="./2.3_AMK_Results.html#zero-temperature-phase-diagram">Zero Temperature Phase Diagram</a></li>