I have a plot with two y-axis on a shared x-axis, and I want to make them align at y=0 so that I can draw a horizontal line to highlight the zero tick. currently the two axis are not aligned and I have to draw two line which is terrible. How can I achieve this?

Assuming that you created the plots with a shared axis, you just have to modify the range of y to be centered at zero or have a similar offset multiplier in both plots (i.e set ax.set_ylim(-6,6)
for both plots). The following code is an example.
from matplotlib import pyplot as plt
import numpy as np
#Create some Fake Data
x =np.arange(-10,10)
y = x+np.random.rand(20)
y2 = 0.5*x-3.*np.random.rand(20)
#Figure
fig = plt.figure(figsize=(12,6))
#First subplot with zero line not even
ax1 = plt.subplot(121)
ax2 = ax1.twinx()
ax1.plot(x,y,c='r')
ax2.plot(x,y2,c='b')
ax1.axhline(0)
#Second Subplot with zero line the same on both axes
ax3 = plt.subplot(122)
ax4 = ax3.twinx()
ax3.plot(x,y,c='r')
ax4.plot(x,y2,c='b')
ax3.axhline(0)
#If you set your limits on both sides to have the same interval you will get the same zero line
ax3.set_ylim(-10,10)
ax4.set_ylim(-6,6)
plt.show()
I had the same issue, and what I did was to change the extents of the y-axis, depending on the ratio of the min to max limits. If you set the ratio of the y-axes to be the same, the zero point should be the same.
fig, ax1 = plt.subplots()
ax1.plot(...) # Plot first data set
ax2 = ax1.twinx()
ax2.plot(...) # Plot second data set
ax1_ylims = ax1.axes.get_ylim() # Find y-axis limits set by the plotter
ax1_yratio = ax1_ylims[0] / ax1_ylims[1] # Calculate ratio of lowest limit to highest limit
ax2_ylims = ax2.axes.get_ylim() # Find y-axis limits set by the plotter
ax2_yratio = ax2_ylims[0] / ax2_ylims[1] # Calculate ratio of lowest limit to highest limit
# If the plot limits ratio of plot 1 is smaller than plot 2, the first data set has
# a wider range range than the second data set. Calculate a new low limit for the
# second data set to obtain a similar ratio to the first data set.
# Else, do it the other way around
if ax1_yratio < ax2_yratio:
ax2.set_ylim(bottom = ax2_ylims[1]*ax1_yratio)
else:
ax1.set_ylim(bottom = ax1_ylims[1]*ax2_yratio)
plt.tight_layout()
plt.show()
This is my first answer, so I hope it is sufficient and okay.
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