In the warped surface states of Bi2Te3 the linear spin Hall response is purely out-of-plane, and a second-order intrinsic in-plane spin current polarized along the field survives, but the claimed extrinsic collinear spin current is exactly zero by time-reversal symmetry.
Shen, Three-dimensional topological insulators, in Topological Insulators: Dirac Equation in Condensed Matter(Springer Singapore, Singapore, 2017) pp
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Non-linear spin current in the surface states of topological insulators
In the warped surface states of Bi2Te3 the linear spin Hall response is purely out-of-plane, and a second-order intrinsic in-plane spin current polarized along the field survives, but the claimed extrinsic collinear spin current is exactly zero by time-reversal symmetry.