Scientific notation on the axis (literature style) - how to change default font?

I need a literature-style scientific notation on both axes in matplotlib with specific font.

In my search I found this question with an answer for literature-style scientific notation from ImportanceOfBeingErnest:Show decimal places and scientific notation on the axis

There are no details about changing font though.

My code:

import numpy as npimport matplotlib.pyplot as pltimport matplotlib.ticker as mtickerfig,ax=plt.subplots(1,1,figsize=[7,7])x=np.linspace(0,0.1,10**3)y=x**2ax.plot(x,y)# code from ImportanceOfBeingErnestclass MathTextSciFormatter(mticker.Formatter):    def __init__(self, fmt="%1.2e"):        self.fmt = fmt    def __call__(self, x, pos=None):        s = self.fmt % x        decimal_point = '.'        positive_sign = '+'        tup = s.split('e')        significand = tup[0].rstrip(decimal_point)        sign = tup[1][0].replace(positive_sign, '')        exponent = tup[1][1:].lstrip('0')        if exponent:            exponent = '10^{%s%s}' % (sign, exponent)        if significand and exponent:            s =  r'%s{\times}%s' % (significand, exponent)        else:            s =  r'%s%s' % (significand, exponent)        return "${}$".format(s)# Format with 2 decimal placesplt.gca().xaxis.set_major_formatter(MathTextSciFormatter("%1.2e"))plt.gca().yaxis.set_major_formatter(MathTextSciFormatter("%1.2e"))# end of code from ImportanceOfBeingErnestplt.xticks(rotation=45,font="Arial",fontsize=20)for tick in ax.get_yticklabels():    tick.set_fontname("Arial")

Result:Graph from code

The literature-style scientific notation is implemented but none of the two methods of changing font work. Interestingly though, the fontsize can be changed.

Could anyone provide a solution for changing font with this notation?

matplotlib 3.5.3