cold

sisl.physics.cold(E, kT=0.1, mu=0.0)

Cold smearing function

For more details see [6].

$$\begin{array}{rl}C(E,k_{B}T,\mu )=\frac{1}{2}& +\mathrm{erf}(-\frac{E-\mu }{k_{B}T}-\frac{1}{\sqrt{2}})\\ & +\frac{1}{\sqrt{2\pi }}\exp \{-[\frac{E-\mu }{k_{B}T}+\frac{1}{\sqrt{2}}{]}^2\}\end{array}$$

Parameters:

• E (ArrayLike) – energy evaluation points

• kT (float) – temperature broadening

• mu (float | ArrayLike) – chemical potential

Returns:

the Cold smearing distribution function, same length as E

Return type:

numpy.ndarray