Microscopic Analysis of Lattice Distortion Effects in Rashba Systems

We theoretically study the effects of dynamical lattice distortion in a three-dimensional Rashba system based on a tight-binding model. Considering an $sp$-electron system on a tetragonal lattice with broken inversion symmetry, lattice distortions are incorporated through hopping-integral and crystal-axis modulations. The effective Hamiltonian for the $p_z$- or $s$-derived band is found to have Rashba modulation terms, which induce various types of spin currents, such as Rashba, quadrupolar, perpendicular, and helicity currents. The results are compared with those obtained by the method of local coordinate transformation.