cold

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

Cold smearing function

For more details see [7].

\[\begin{split}C(E,k_BT,\mu) = \frac12 &+ \mathrm{erf}\Big(-\frac{E-\mu}{k_BT}-\frac1{\sqrt2}\Big) \\ &+ \frac1{\sqrt{2\pi}} \exp\Bigg\{-\Big[\frac{E-\mu}{k_BT}+\frac1{\sqrt2}\Big]^2\Bigg\}\end{split}\]

Parameters:

• E (ArrayLike) – energy evaluation points

• kT (float) – temperature broadening

• mu (float | TypeAliasForwardRef('~numpy.typing.ArrayLike')) – chemical potential

Returns:

the Cold smearing distribution function, same length as E

Return type:

numpy.ndarray