gftool.fermi_fct_inv

gftool.fermi_fct_inv(fermi, beta)

Inverse of the Fermi function.

This is e.g. useful for integrals over the derivative of the Fermi function.

Parameters:

fermifloat or float np.ndarray

The values of the Fermi function.

betafloat

The inverse temperature \(beta = 1/k_B T\).

Returns:

float or float np.ndarray

The inverse of the Fermi function fermi_fct(fermi_fct_inv, beta)=fermi.

See also

fermi_fct

Examples

>>> eps = np.linspace(-15, 15, num=500)
>>> fermi = gt.fermi_fct(eps, beta=1)
>>> np.allclose(eps, gt.fermi_fct_inv(fermi, beta=1))
True