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@@ -1293,7 +1293,7 @@ <h3 id="main-problem-and-dependencies">Main Problem and Dependencies</h3>
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<span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">pi</span><span class="p">,</span> <span class="n">sin</span><span class="p">,</span> <span class="n">cos</span><span class="p">,</span> <span class="n">sqrt</span>
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</code></pre></div></p>
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<h3 id="subproblems">Subproblems</h3>
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<p><strong>1.1 Write a Haldane model Hamiltonian on a hexagonal lattice, given the following parameters: wavevector components $k_x$ and $k_y$ (momentum) in the x and y directions, lattice spacing $a$, nearest-neighbor coupling constant $t_1$, next-nearest-neighbor coupling constant $t_2$, phase $\phi$ for the next-nearest-neighbor hopping, and the on-site energy $m$.</strong></p>
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<p><strong>1.1 Write a Haldane model Hamiltonian on a hexagonal lattice, given the following parameters: wavevector components $$k_x$$ and $k_y$ (momentum) in the x and y directions, lattice spacing $a$, nearest-neighbor coupling constant $t_1$, next-nearest-neighbor coupling constant $t_2$, phase $\phi$ for the next-nearest-neighbor hopping, and the on-site energy $m$.</strong></p>
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<p><strong><em>Scientists Annotated Background:</em></strong>
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Source: Haldane, F. D. M. (1988). Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the" parity anomaly". Physical review letters, 61(18).</p>
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<p>We denote ${\mathbf{a}_i}$ are the vectors from a B site to its three nearest-neighbor A sites, and ${\mathbf{b}_i}$ are next-nearest-neighbor distance vectors, then we have

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