pythtb.Wannier.Omega_OD#

property Wannier.Omega_OD#

Off-diagonal gauge-dependent spread \(\Omega_{\mathrm{OD}}\).

Part of the decomposition of the quadratic spread into gauge-invariant (\(\widetilde{\Omega}\)) and gauge-dependent (\(\widetilde{\Omega}\)) parts,

\[\Omega = \widetilde{\Omega} + \Omega_I = \Omega_{\rm OD} + \Omega_{\rm D} + \Omega_I\]

The off-diagonal part \(\Omega_{\rm OD}\) is computed via

\[\Omega_{\rm OD} = \frac{1}{N_k} \sum_{\mathbf{k}, \mathbf{b}} w_b \sum_{m\neq n} |M_{mn}^{(\mathbf{b})}(\mathbf{k})|^2\]

Returns:

Raises: