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

fermi_fct_invfloat 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