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Commit 129644f5 authored by Anton Akhmerov's avatar Anton Akhmerov
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migrate aliasing to code

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code/band_structures.py
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......@@ -57,6 +57,26 @@ def phonons_1d():
pyplot.savefig('phonons3.svg')
def aliasing():
x = np.linspace(-.2, 2.8, 500)
fig, ax = pyplot.subplots()
ax.plot(x, np.cos(pi*(x - .3)), label=r'$k=\pi/a$')
ax.plot(x, np.cos(3*pi*(x - .3)), label=r'$k=3\pi/a$')
ax.plot(x, np.cos(5*pi*(x - .3)), label=r'$k=5\pi/a$')
sites = np.arange(3) + .3
ax.scatter(sites, np.cos(pi*(sites - .3)), c='k', s=64, zorder=5)
ax.set_xlabel('$x$')
ax.set_ylabel('$u_n$')
ax.set_xlim((-.1, 3.2))
ax.set_ylim((-1.3, 1.3))
ax.legend(loc='lower right')
draw_classic_axes(ax)
ax.annotate(s='', xy=(.3, -1.1), xytext=(1.3, -1.1),
arrowprops=dict(arrowstyle='<->', shrinkA=0, shrinkB=0))
ax.text(.3 + .5, -1.25, '$a$', ha='center')
pyplot.savefig('phonons4.svg')
def tight_binding_1d():
pyplot.figure()
k = np.linspace(-pi, pi, 300)
......
docs/figures/phonons4.svg deleted 100644 → 0
+ 0
− 286
View file @ 8559a997
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