i{\bf k}\cdot({\bf R}+{\bf r}_0)}\right)\\ \left[{\sigma^{h}}(-{\bf k}),\left[-t_{\rm hole}\mathcal{T}_{\rm hole}({\bf R},{\bf r}_0),{\sigma^{h}}({\bf k})\right]\right] &=& 0t_{\rm hole}\mathcal{T}_{\rm hole}({\bf R},{\bf r}_0)\left(