Table 1 Non-vanishing components of longitudinal conductivity

From: Phonon-mediated spin transport in quantum paraelectric metals

i

α

\({\sigma }_{ii}^{\alpha }({{{\boldsymbol{q}}}})\)

y

x

χ0(−2qzqy)

z

x

χ0(2qyqz)

x

y

χ0(2qzqx)

z

y

χ0(−2qxqz)

x

z

χ0(−2qyqx)

y

z

χ0(2qxqy)

  1. \({\sigma }_{ii}^{\alpha }({{{\boldsymbol{q}}}})\) for i, α = {x, y, z} denotes the longitudinal conductivity for spin currents, as defined in Eq. (17). Here, i denotes both the spin current and the external electric field direction, while α denotes the spin quantization axis direction. q = (qx, qy, qz) denotes a wave vector of external electric fields. χ0 is a q-independent constant, as defined in Eq. (19).
Back to article page