Phonon mediated spin polarization in a one-dimensional Aubry-Andre-Harper chain

A comparative study of electronic transport and spin polarization between clean and Aubry-Andre-Harper chains in the presence of electron-electron (e-e) and electron-phonon (e-ph) interactions is presented. The entire system is simulated within a tight-binding framework based on the Hubbard-Holstein model. Transmission probability and spin polarization are evaluated using the Green's function method under the Hartree-Fock mean-field approximation through a self-consistent procedure. The transmission profile is found to be consistent with the band structure, which is also discussed. An overall enhancement of spin polarization induced by e-ph interaction is reported for the first time, to the best of our knowledge. Our analysis may be useful for studying controlled spin-selective electron transmission in the presence of e-ph coupling.