and another plot goes (doping)

729fd87f · Anton Akhmerov · c78ce08a · 729fd87f · c78ce08a
Commit 729fd87f authored 6 years ago by Anton Akhmerov
--- a/code/semiconductors.py
+++ b/code/semiconductors.py
@@ -11,21 +11,23 @@ from scipy.integrate import quad
 import common
 from common import draw_classic_axes

+E_V, E_C, E_F = -1.2, 1.8, .4
+E_D, E_A = E_C - .7, E_V + .5
+m_h, m_e = 1, .5
+

 def plot_dos():
    E = np.linspace(-3, 3, 1000)
    fig, ax = pyplot.subplots()

-    E_V, E_C, E_F = -.5, 1, 0.3
-    m_h, m_e = 1, .5
    n_F = 1/(np.exp(2*(E - E_F)) + 1)
    g_e = m_e * sqrt_plus(E - E_C)
    g_h = m_h * sqrt_plus(E_V - E)
    sqrt_plus = lambda x: np.sqrt(x * (x >= 0))
    ax.plot(E, g_h, label="$g_e$")
    ax.plot(E, g_e, label="$g_h$")
-    ax.plot(E, g_h * (1-n_F), label="$n_h$")
-    ax.plot(E, g_e * n_F, label="$n_e$")
+    ax.plot(E, 10 * g_h * (1-n_F), label="$n_h$")
+    ax.plot(E, 10 * g_e * n_F, label="$n_e$")
    ax.plot(E, n_F, label="$n_F$", linestyle='dashed')
    ax.set_ylim(top=1.5)

@@ -37,9 +39,33 @@ def plot_dos():
    draw_classic_axes(ax, xlabeloffset=.2)
    fig.savefig('intrinsic_DOS.svg')

+def plot_doping():    
+    E = np.linspace(-3, 3, 1000)
+    fig, ax = pyplot.subplots()
+
+    n_F = 1/(np.exp(2*(E - E_F)) + 1)
+    g_e = m_e * sqrt_plus(E - E_C)
+    g_h = m_h * sqrt_plus(E_V - E)
+    sqrt_plus = lambda x: np.sqrt(x * (x >= 0))
+    ax.plot(E, g_h, label="$g_e$")
+    ax.plot(E, g_e, label="$g_h$")
+
+    sigma = 0.01
+    g_D = np.exp(-(E_D - E)**2 / sigma**2)
+    g_A = .7 * np.exp(-(E_A - E)**2 / sigma**2)
+    ax.plot(E, g_D, label='$g_D$')
+    ax.plot(E, g_A, label='$g_A$')
+    ax.legend()
+    ax.set_xticks([E_V, E_C, E_A, E_D])
+    ax.set_xticklabels(['$E_V$', '$E_C$', '$E_A$', '$E_D$'])
+    draw_classic_axes(ax, xlabeloffset=.2)
+    fig.savefig('doping.svg')
+

 def main():
    os.chdir('docs/figures')
+    plot_dos()
+    plot_doping()

 if __name__ == "__main__":
    main()
--- a/docs/figures/doping.svg
+++ b/docs/figures/doping.svg
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