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The influence of the electrons interaction with longitudinal acoustic phononson magnetoeletric and spin-related transport effects are investigated. Thephysical system under consideration has been assumed to be a two dimensionalelectron gas system with both Rashba and Dreesselhaus spin-orbit couplings. Inthe works which have been previously performed in this field it has been shownthat in the non-equilibrium regime, the Rashba and Dreesselhaus couplings cannot be responsible for spin-current where in the absence of other interactionssuch as lattice vibrations identically vanishes. In the current work we haveemployed a semi-classical method by using the Boltzmann approach. It was shownthat the spin-current of the system, in general, does not go all the way tozero at any value of the spin-orbit couplings. It was also shown that the spinaccumulation of the system can be influenced by the electron-phonon coupling.

Acoustic phonons mediated non-equilibrium spin current in the presence of Rashba and Dresselhaus spin-orbit couplings