build based on 476f08d

dev/.documenter-siteinfo.json

@@ -1 +1 @@
-{"documenter":{"julia_version":"1.11.2","generation_timestamp":"2024-12-07T13:40:37","documenter_version":"1.8.0"}}
+{"documenter":{"julia_version":"1.11.2","generation_timestamp":"2024-12-31T14:51:15","documenter_version":"1.8.0"}}

dev/examples/HomobilayerTMD/index.html

@@ -24,14 +24,14 @@
 emin, emax = -100.0, 30.0
 plt = plot()
 plot!(plt, bands₁, ylim=(emin, emax), color="blue", title="")
-plot!(plt, bands₂, ylim=(emin, emax), color=&quot;blue&quot;, title=&quot;&quot;)</code></pre><img src="10ad1162.svg" alt="Example block output"/><p>The bands are two-fold degenerate due to the valley degrees of freedom. Note that due to the spin-valley lock in WSe₂, such a degeneracy can also be viewed as the spin degeneracy.</p><p>Then we compute the Berry curvature and Chern number of the topmost moire band:</p><pre><code class="language-julia hljs">berry = WSe₂(:BC, BerryCurvature(BrillouinZone(recipls, 48), [dimension(WSe₂)]))
-plot(berry)</code></pre><img src="efc3dbe5.svg" alt="Example block output"/><p>The perpendicular displacement field can induced a layer dependent potential, which will lead to the splitting of the two spins:</p><pre><code class="language-julia hljs">update!(WSe₂; Vᶻ=8.0)
+plot!(plt, bands₂, ylim=(emin, emax), color=&quot;blue&quot;, title=&quot;&quot;)</code></pre><img src="0ac11608.svg" alt="Example block output"/><p>The bands are two-fold degenerate due to the valley degrees of freedom. Note that due to the spin-valley lock in WSe₂, such a degeneracy can also be viewed as the spin degeneracy.</p><p>Then we compute the Berry curvature and Chern number of the topmost moire band:</p><pre><code class="language-julia hljs">berry = WSe₂(:BC, BerryCurvature(BrillouinZone(recipls, 48), [dimension(WSe₂)]))
+plot(berry)</code></pre><img src="47f067c3.svg" alt="Example block output"/><p>The perpendicular displacement field can induced a layer dependent potential, which will lead to the splitting of the two spins:</p><pre><code class="language-julia hljs">update!(WSe₂; Vᶻ=8.0)
 bands₁ = WSe₂(:EB, EnergyBands(ReciprocalPath(recipls, hexagon&quot;Γ-K₁-M₁-Γ&quot;, length=100)))
 bands₂ = WSe₂(:EB, EnergyBands(ReciprocalPath(recipls, hexagon&quot;Γ-K₄-M₄-Γ&quot;, length=100)))
 
 plt = plot()
 plot!(plt, bands₁, ylim=(emin, emax), color=&quot;blue&quot;, title=&quot;&quot;)
-plot!(plt, bands₂, ylim=(emin, emax), color=&quot;blue&quot;, title=&quot;&quot;)</code></pre><img src="58bc35a4.svg" alt="Example block output"/><p>For the topologically trivial topmost moire band, it forms a triangular lattice. The effective tight-binding model of this sole band can be obtained:</p><pre><code class="language-julia hljs">lattice = MoireTriangular(6, reciprocals(recipls))
+plot!(plt, bands₂, ylim=(emin, emax), color=&quot;blue&quot;, title=&quot;&quot;)</code></pre><img src="f6663c1c.svg" alt="Example block output"/><p>For the topologically trivial topmost moire band, it forms a triangular lattice. The effective tight-binding model of this sole band can be obtained:</p><pre><code class="language-julia hljs">lattice = MoireTriangular(6, reciprocals(recipls))
 hilbert = Hilbert(Fock{:f}(1, 2), length(lattice))
 tba = Algorithm(
     :tba,
@@ -40,7 +40,7 @@
 plt = plot()
 plot!(plt, bands₁, ylim=(emin, emax), color=&quot;blue&quot;, title=&quot;&quot;)
 plot!(plt, bands₂, ylim=(emin, emax), color=&quot;blue&quot;, title=&quot;&quot;)
-plot!(plt, bands₃, ylim=(emin, emax), color=&quot;red&quot;, lw=4, alpha=0.3, title=&quot;&quot;)</code></pre><img src="3449f051.svg" alt="Example block output"/><h2 id="Nontrivial-Band-Topology"><a class="docs-heading-anchor" href="#Nontrivial-Band-Topology">Nontrivial Band Topology</a><a id="Nontrivial-Band-Topology-1"></a><a class="docs-heading-anchor-permalink" href="#Nontrivial-Band-Topology" title="Permalink"></a></h2><p>With another set of parameters [<a href="https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.132.036501">Phys. Rev. Lett. 132, 036501 (2024)</a>] that was proposed to be suitable for twisted bilayer MoTe₂, the top two moire bands have opposite Chern numbers.</p><p>First, we calculate the energy bands with such a set of parameters in a single valley:</p><pre><code class="language-julia hljs">using MoireSuperlattices
+plot!(plt, bands₃, ylim=(emin, emax), color=&quot;red&quot;, lw=4, alpha=0.3, title=&quot;&quot;)</code></pre><img src="3736f7df.svg" alt="Example block output"/><h2 id="Nontrivial-Band-Topology"><a class="docs-heading-anchor" href="#Nontrivial-Band-Topology">Nontrivial Band Topology</a><a id="Nontrivial-Band-Topology-1"></a><a class="docs-heading-anchor-permalink" href="#Nontrivial-Band-Topology" title="Permalink"></a></h2><p>With another set of parameters [<a href="https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.132.036501">Phys. Rev. Lett. 132, 036501 (2024)</a>] that was proposed to be suitable for twisted bilayer MoTe₂, the top two moire bands have opposite Chern numbers.</p><p>First, we calculate the energy bands with such a set of parameters in a single valley:</p><pre><code class="language-julia hljs">using MoireSuperlattices
 using Plots
 using QuantumLattices
 using TightBindingApproximation
@@ -52,7 +52,7 @@
 )
 recipls = MoTe₂.frontend.reciprocallattice.translations
 bands = MoTe₂(:EB, EnergyBands(ReciprocalPath(recipls, hexagon&quot;Γ-K₁-M₁-Γ&quot;, length=100)))
-plot(bands, ylim=(-50.0, 10.0), color=&quot;blue&quot;, title=&quot;&quot;)</code></pre><img src="345a97b0.svg" alt="Example block output"/><p>Then we compute the Berry curvature and Chern numbers of the top two moire bands:</p><pre><code class="language-julia hljs">berry = MoTe₂(
+plot(bands, ylim=(-50.0, 10.0), color=&quot;blue&quot;, title=&quot;&quot;)</code></pre><img src="c40686f5.svg" alt="Example block output"/><p>Then we compute the Berry curvature and Chern numbers of the top two moire bands:</p><pre><code class="language-julia hljs">berry = MoTe₂(
     :BC, BerryCurvature(BrillouinZone(recipls, 48), [dimension(MoTe₂), dimension(MoTe₂)-1])
 )
-plot(berry)</code></pre><img src="2454506a.svg" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../Visualization/">« Visualization of Moire Superlattices by Twist</a><a class="docs-footer-nextpage" href="../../manual/">Manual »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.8.0 on <span class="colophon-date" title="Saturday 7 December 2024 13:36">Saturday 7 December 2024</span>. Using Julia version 1.11.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+plot(berry)</code></pre><img src="33e6b5be.svg" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../Visualization/">« Visualization of Moire Superlattices by Twist</a><a class="docs-footer-nextpage" href="../../manual/">Manual »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.8.0 on <span class="colophon-date" title="Tuesday 31 December 2024 14:46">Tuesday 31 December 2024</span>. Using Julia version 1.11.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>