add extra info for each page

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Tom Hodson 2022-08-27 13:03:20 +02:00
parent 941b83e767
commit c23fcc5acb
18 changed files with 111 additions and 5 deletions

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@ -84,4 +84,9 @@ nav.overall-table-of-contents > ul {
list-style: none;
margin-top: 1em;
}
}
// Page header
div#page-header {
p { margin-block-end: 0px;}
}

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@ -61,6 +61,10 @@ id="toc-quantum-spin-liquids">Quantum Spin Liquids</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>1 Introduction</p>
<hr />
</div>
<section id="interacting-quantum-many-body-systems" class="level1">
<h1>Interacting Quantum Many Body Systems</h1>
<p>When you take many objects and let them interact together, it is
@ -591,6 +595,9 @@ to the Falikov-Kimball Model, the Kitaev Honeycomb Model, disorder and
localisation. Then Chapter 3 introduces and studies the Long Range
Falikov-Kimball Model in one dimension while Chapter 4 focusses on the
Amorphous Kitaev Model.</p>
<p>Next Chapter: <a
href="../2_Background/2.1_FK_Model.html#the-falikov-kimball-model">2
Background</a></p>
</section>
<section id="bibliography" class="level1 unnumbered">
<h1 class="unnumbered">Bibliography</h1>

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@ -64,6 +64,10 @@ id="toc-long-ranged-ising-model">Long Ranged Ising model</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>2 Background</p>
<hr />
</div>
<section id="the-falikov-kimball-model" class="level1">
<h1>The Falikov Kimball Model</h1>
<section id="the-model" class="level2">
@ -415,6 +419,9 @@ j|^{-\alpha} S_i S_j\)</span> as the exponent of the interaction <span
class="math inline">\(\alpha\)</span> is varied.</figcaption>
</figure>
</div>
<p>Next Section: <a
href="../2_Background/2.2_HKM_Model.html#the-kitaev-honeycomb-model">The
Kitaev Honeycomb Model</a></p>
</section>
</section>
<section id="bibliography" class="level1 unnumbered">

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@ -74,6 +74,10 @@ Diagram</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>2 Background</p>
<hr />
</div>
<section id="the-kitaev-honeycomb-model" class="level1">
<h1>The Kitaev Honeycomb Model</h1>
<p><strong>papers</strong> Jos on dynamics
@ -136,6 +140,9 @@ role="doc-biblioref">1</a>]</span></li>
<h2>Phase Diagram</h2>
<div class="sourceCode" id="cb1"><pre
class="sourceCode python"><code class="sourceCode python"></code></pre></div>
<p>Next Section: <a
href="../2_Background/2.3_Disorder.html#bg-disorder-and-localisation">Disorder
and Localisation</a></p>
</section>
</section>
<section id="bibliography" class="level1 unnumbered">

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@ -70,6 +70,10 @@ id="toc-amorphous-magnetism">Amorphous Magnetism</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>2 Background</p>
<hr />
</div>
<section id="bg-disorder-and-localisation" class="level1">
<h1>Disorder and Localisation</h1>
<section id="localisation-anderson-many-body-and-disorder-free"
@ -169,6 +173,9 @@ timescales to the infinite limit.</p>
<p>-link to the FK model</p>
<p>-link to the Kitaev Model</p>
<p>-link to the physics of amorphous systems</p>
<p>Next Chapter: <a
href="../3_Long_Range_Falikov_Kimball/3.1_LRFK_Model.html#fk-model">3
The Long Range Falikov-Kimball Model</a></p>
</section>
</section>
<section id="bibliography" class="level1 unnumbered">

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@ -48,6 +48,10 @@ image:
-->
<!-- Main Page Body -->
<div id="page-header">
<p>3 The Long Range Falikov-Kimball Model</p>
<hr />
</div>
<p>This chapter expands on work presented in</p>
<p> <span class="citation"
data-cites="hodsonOnedimensionalLongrangeFalikovKimball2021"> [<a
@ -267,6 +271,8 @@ data-cites="fukuiOrderNClusterMonte2009"> [<a
href="#ref-fukuiOrderNClusterMonte2009"
role="doc-biblioref">30</a>]</span>. We only consider even system sizes
given that odd system sizes are not commensurate with a CDW state.</p>
<p>Next Section: <a
href="../3_Long_Range_Falikov_Kimball/3.2_LRFK_Methods.html#fk-methods">Methods</a></p>
</section>
<section id="bibliography" class="level1 unnumbered">
<h1 class="unnumbered">Bibliography</h1>

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@ -64,6 +64,10 @@ Conclusion</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>3 The Long Range Falikov-Kimball Model</p>
<hr />
</div>
<section id="fk-results" class="level1">
<h1>Results</h1>
<div id="fig:phase_diagram" class="fignos">
@ -465,6 +469,9 @@ H_{\mathrm{DM}} = &amp; \;U \sum_{i} (-1)^i \; d_i \;(c^\dag_{i}c_{i} -
\nonumber\end{aligned}\]</span></p>
<div class="sourceCode" id="cb1"><pre
class="sourceCode python"><code class="sourceCode python"></code></pre></div>
<p>Next Chapter: <a
href="../4_Amorphous_Kitaev_Model/4.1.2_AMK_Model.html#vortices-and-their-movements">4
The Amorphous Kitaev Model</a></p>
</section>
<section id="bibliography" class="level1 unnumbered">
<h1 class="unnumbered">Bibliography</h1>

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@ -137,6 +137,10 @@ Statistics</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>4 The Amorphous Kitaev Model</p>
<hr />
</div>
<section id="gauge-fields" class="level2">
<h2>Gauge Fields</h2>
<p>The bond operators <span class="math inline">\(u_{ij}\)</span> are
@ -1065,6 +1069,9 @@ href="#ref-hastingsDynamicallyGeneratedLogical2021"
role="doc-biblioref">16</a>,<a
href="#ref-kitaevFaulttolerantQuantumComputation2003"
role="doc-biblioref"><strong>kitaevFaulttolerantQuantumComputation2003?</strong></a>]</span>.</p>
<p>Next Section: <a
href="../4_Amorphous_Kitaev_Model/4.1_AMK_Model.html#amk-Model">The
Model</a></p>
</section>
</section>
<section id="bibliography" class="level1 unnumbered">

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@ -105,6 +105,10 @@ id="toc-open-boundary-conditions">Open boundary conditions</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>4 The Amorphous Kitaev Model</p>
<hr />
</div>
<p><strong>Contributions</strong></p>
<p>The material in this chapter expands on work presented in</p>
<p> <span class="citation"
@ -764,6 +768,8 @@ which we set to 1 when calculating the projector.</p>
anyway, an arbitrary pairing of the unpaired <span
class="math inline">\(b^\alpha\)</span> operators could be performed.
&lt;/i,j&gt;&lt;/i,j&gt;</p>
<p>Next Section: <a
href="../4_Amorphous_Kitaev_Model/4.2_AMK_Methods.html#amk-methods">Methods</a></p>
</section>
</section>
</section>

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@ -95,6 +95,10 @@ Markers</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>4 The Amorphous Kitaev Model</p>
<hr />
</div>
<div class="sourceCode" id="cb1"><pre
class="sourceCode python"><code class="sourceCode python"></code></pre></div>
<section id="amk-methods" class="level1">
@ -536,6 +540,8 @@ system.</p>
<p><strong>Expand on definition here</strong></p>
<p><strong>Discuss link between Chern number and Anyonic
Statistics</strong></p>
<p>Next Section: <a
href="../4_Amorphous_Kitaev_Model/4.3_AMK_Results.html#amk-results">Results</a></p>
</section>
</section>
<section id="bibliography" class="level1 unnumbered">

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@ -103,6 +103,10 @@ id="toc-amk-discussion">Discussion</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>4 The Amorphous Kitaev Model</p>
<hr />
</div>
<section id="amk-results" class="level1">
<h1>Results</h1>
<section id="the-ground-state-flux-sector" class="level2">
@ -661,6 +665,8 @@ href="#ref-Wu2009" role="doc-biblioref">47</a>]</span></p>
quantum many body phases albeit material candidates aplenty. We expect
our exact chiral amorphous spin liquid to find many generalisation to
realistic amorphous quantum magnets and beyond.</p>
<p>Next Chapter: <a
href="../5_Conclusion/5_Conclusion.html#discussion">5 Conclusion</a></p>
</section>
</section>
<section id="bibliography" class="level1 unnumbered">

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@ -48,11 +48,17 @@ image:
-->
<!-- Main Page Body -->
<div id="page-header">
<p>5 Conclusion</p>
<hr />
</div>
<section id="discussion" class="level2">
<h2>Discussion</h2>
</section>
<section id="outlook" class="level2">
<h2>Outlook</h2>
<p>Next Chapter: <a
href="../6_Appendices/A.1_Particle_Hole_Symmetry.html#particle-hole-symmetry">Appendices</a></p>
</section>

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@ -50,6 +50,10 @@ id="toc-particle-hole-symmetry">Particle-Hole Symmetry</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>Appendices</p>
<hr />
</div>
<section id="particle-hole-symmetry" class="level1">
<h1>Particle-Hole Symmetry</h1>
<p>The Hubbard and FK models on a bipartite lattice have particle-hole
@ -108,6 +112,9 @@ class="math inline">\(\mu = 0\)</span> and so must all the observables,
hence half filling <span class="math inline">\(\rho = 1\)</span> occurs
here. This symmetry and known observable acts as a useful test for the
numerical calculations.</p>
<p>Next Section: <a
href="../6_Appendices/A.2_Markov_Chain_Monte_Carlo.html#applying-mcmc-to-the-fk-model">Applying
MCMC to the FK model</a></p>
</section>
<section id="bibliography" class="level1 unnumbered">
<h1 class="unnumbered">Bibliography</h1>

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@ -58,6 +58,10 @@ model</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>Appendices</p>
<hr />
</div>
<section id="markov-chain-monte-carlo" class="level1">
<h1>Markov Chain Monte Carlo</h1>
<section id="applying-mcmc-to-the-fk-model" class="level2">
@ -137,6 +141,9 @@ walk progresses.</p>
<div class="sourceCode" id="cb1"><pre
class="sourceCode python"><code class="sourceCode python"></code></pre></div>
<p></ij></ij></p>
<p>Next Section: <a
href="../6_Appendices/A.3_Lattice_Generation.html#lattice-generation">Lattice
Generation</a></p>
</section>
</section>

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@ -48,10 +48,17 @@ Generation</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>Appendices</p>
<hr />
</div>
<section id="lattice-generation" class="level1">
<h1>Lattice Generation</h1>
<div class="sourceCode" id="cb1"><pre
class="sourceCode python"><code class="sourceCode python"></code></pre></div>
<p>Next Section: <a
href="../6_Appendices/A.4_Lattice_Colouring.html#lattice-colouring">Lattice
Colouring</a></p>
</section>

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@ -48,6 +48,10 @@ Colouring</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>Appendices</p>
<hr />
</div>
<section id="lattice-colouring" class="level1">
<h1>Lattice Colouring</h1>
<div class="sourceCode" id="cb1"><pre

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@ -48,6 +48,10 @@ Projector</a></li>
-->
<!-- Main Page Body -->
<div id="page-header">
<p>Appendices</p>
<hr />
</div>
<section id="app-the-projector" class="level1">
<h1>The Projector</h1>
</section>

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@ -1,31 +1,31 @@
<ul>
<li><a href="./1_Introduction/1_Intro.html#interacting-quantum-many-body-systems">Introduction</a></li>
<li><a href="./1_Introduction/1_Intro.html#interacting-quantum-many-body-systems">1 Introduction</a></li>
<ul>
<li><a href="./1_Introduction/1_Intro.html#interacting-quantum-many-body-systems">Interacting Quantum Many Body Systems</a></li>
<li><a href="./1_Introduction/1_Intro.html#mott-insulators">Mott Insulators</a></li>
<li><a href="./1_Introduction/1_Intro.html#quantum-spin-liquids">Quantum Spin Liquids</a></li>
</ul>
<li><a href="./2_Background/2.1_FK_Model.html#the-falikov-kimball-model">Background</a></li>
<li><a href="./2_Background/2.1_FK_Model.html#the-falikov-kimball-model">2 Background</a></li>
<ul>
<li><a href="./2_Background/2.1_FK_Model.html#the-falikov-kimball-model">The Falikov Kimball Model</a></li>
<li><a href="./2_Background/2.2_HKM_Model.html#the-kitaev-honeycomb-model">The Kitaev Honeycomb Model</a></li>
<li><a href="./2_Background/2.3_Disorder.html#disorder-and-localisation">Disorder and Localisation</a></li>
</ul>
<li><a href="./3_Long_Range_Falikov_Kimball/3.1_LRFK_Model.html#the-model">Chapter 3: The Long Range Falikov-Kimball Model</a></li>
<li><a href="./3_Long_Range_Falikov_Kimball/3.1_LRFK_Model.html#the-model">3 The Long Range Falikov-Kimball Model</a></li>
<ul>
<li><a href="./3_Long_Range_Falikov_Kimball/3.1_LRFK_Model.html#the-model">The Model</a></li>
<li><a href="./3_Long_Range_Falikov_Kimball/3.2_LRFK_Methods.html#methods">Methods</a></li>
<li><a href="./3_Long_Range_Falikov_Kimball/3.3_LRFK_Results.html#results">Results</a></li>
<li><a href="./3_Long_Range_Falikov_Kimball/3.3_LRFK_Results.html#discussion-and-conclusion">Discussion and Conclusion</a></li>
</ul>
<li><a href="./4_Amorphous_Kitaev_Model/4.1.2_AMK_Model.html#gauge-fields">Chapter 4: The Amorphous Kitaev Model</a></li>
<li><a href="./4_Amorphous_Kitaev_Model/4.1.2_AMK_Model.html#gauge-fields">4 The Amorphous Kitaev Model</a></li>
<ul>
<li><a href="./4_Amorphous_Kitaev_Model/4.1_AMK_Model.html#the-model">The Model</a></li>
<li><a href="./4_Amorphous_Kitaev_Model/4.2_AMK_Methods.html#methods">Methods</a></li>
<li><a href="./4_Amorphous_Kitaev_Model/4.3_AMK_Results.html#results">Results</a></li>
<li><a href="./4_Amorphous_Kitaev_Model/4.3_AMK_Results.html#discussion-and-conclusion">Discussion and Conclusion</a></li>
</ul>
<li><a href="./5_Conclusion/5_Conclusion.html#discussion">Conclusion</a></li>
<li><a href="./5_Conclusion/5_Conclusion.html#discussion">5 Conclusion</a></li>
<li><a href="./6_Appendices/A.1_Particle_Hole_Symmetry.html#particle-hole-symmetry">Appendices</a></li>
<ul>
<li><a href="./6_Appendices/A.1_Particle_Hole_Symmetry.html#particle-hole-symmetry">Particle-Hole Symmetry</a></li>