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---
title: Introduction
excerpt: Why do we do Condensed Matter theory at all?
layout: none
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---
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<title>Introduction</title>
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{% include header.html %}
<main>
<nav id="TOC" role="doc-toc">
<ul>
<li><a href="#themes" id="toc-themes">Themes</a></li>
</ul>
</nav>
<div class="sourceCode" id="cb1"><pre
class="sourceCode python"><code class="sourceCode python"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a><span class="op">%%</span>html</span></code></pre></div>
<p>One of the most interesting and perhaps surprising features of many
body physics is the existence of distinct phases of matter.</p>
<p>Why does liquid turn to ice? Well there are two key ingredients.
First we need a system composed of a large number of objects and second
we need those objects to interact with eachother.</p>
<p>It turns out that the more objects there are, the greater the effect
that their interactions has on the whole. A hundred <span
class="math inline">\(H_2O\)</span> molecules cant actually form the
nice regular structure that characterises ice, instead youd get more of
a blob. However, any human scale amount of water contains an
unimaginable huge number of molecules.</p>
<p>Phases come about when the interactions between individuals
components serve the reinforce</p>
<p>When a many body, interacting system can display radically different
properties depending on the system parameters</p>
<h2 id="themes">Themes</h2>
<ul>
<li><p>many body</p></li>
<li><p>interactions</p></li>
<li><p>quantum</p></li>
<li><p>topology</p></li>
<li><p>disorder</p></li>
<li><p>quasiparticles</p></li>
<li><p>topological order</p></li>
<li><p>protected edge states</p></li>
<li><p>abelian and non-abelian anyons</p></li>
<li><p>localisation</p></li>
<li><p>lengthscales</p></li>
</ul>
<div class="sourceCode" id="cb2"><pre
class="sourceCode python"><code class="sourceCode python"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a>__ Connection between </span></code></pre></div>
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