Motivated by recent discovery of strongly spin-orbit coupled two-dimensional
(2D) electron gas near the surface of Rashba semiconductors BiTeX (X=Cl, Br,
I), we calculate thermoelectric responses of spin polarization in 2D Rashba
model using an exact solution of the linearized Boltzmann equation for elastic
scattering. When the Fermi energy EFβ lies below the band crossing point we
find a non-Edelstein electric-field induced spin polarization which is linear
in EFβ. We show that the Mott-like relation between spin polarizations
induced by the temperature gradient and electric field breaks down
significantly when EFβ lies in the vicinity of the band crossing point. As
the temperature tends to zero, the temperature-gradient induced spin
polarization vanishes. These results differ from previous ones obtained by
relaxation time approximations.Comment: 9 pages, 3 figure