Fig. 4: Quadrupole symmetry of the spin conductivity.
From: Phonon-mediated spin transport in quantum paraelectric metals
a Real part of the spin conductivity (\({{{\rm{Re}}}}[{\sigma }_{xy}^{z}({{{\boldsymbol{q}}}})]\)) as a function of q = (qx, qy, 0) (in units of qx/kF and qy/kF) obtained from a numerical integration using the formula in Eq. (15). b \({{{\rm{Re}}}}[{\sigma }_{xy}^{z}({{{\boldsymbol{q}}}})]\) along the line qy = 0, showcasing the quadratic dependence on \({q}_{x}^{2}\). a The color scale indicates the magnitude of the spin conductivity divided by the overall factor \(\frac{{g}^{2}e{\hslash }^{6}}{{m}^{2}{M}_{ph}}\). b The parameter values used are as follows: EF = 3eV, vF = 106m/s, τ = 10−14s, c = 104m/s, Eg = 1meV, and T = 1K.
