pythtb.Wannier.Omega_OD

property Wannier.Omega_OD

Off-diagonal part of gauge-dependent spread.

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

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