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In the following paragraph, we show that the ISHE observed in our samples is intrinsic in nature and originates from the inter-d-band excitations. The ISHE spin–charge conversion current is given by the equation40, I = wθ λ tanh(d⁄(2λ ))(2e⁄ℏ)j 0, where w—channel width (same for all samples), θ —spin Hall angle, λ —spin diffusion length, d—channel thickness, ℏ—reduced Planck constant, j 0—injected spin current density at the YIG/Pt interface.
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