  The failure of spatial inversion symmetry in noncentrosymmetric materials
introduces two different types of spin-independent and spin-dependent electron
hopping. The spin-dependent term can be translated into a quasi-spin-orbit
coupling and may affect the electronic structure. In the locally
noncentrosymmetric crystals, the presence of a sublattice degree of freedom
generates a distinction between the inter- and intra-sublattice hopping
integrals. The spin-dependent part of the former (latter), which is even (odd)
under parity, is called symmetric (antisymmetric) quasi-spin-orbit coupling.
Here, we show the consequences of such quasi-spin-orbit couplings on the
electronic band structure and study their characteristic features via the
quasiparticle interference method. We extend our discussions to a realistic
class of materials, known as transition metal oxides.
