- #1
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Hi!
I'm trying to understand the dependence of spin hall voltage on various parameters of the material. I have been going through this paper, and it is mentioned that $$V_{SH} = 2 \pi R_s L j_x n \mu_B$$
In the equation, only ##L## and ##j_x## seem to be the variables. Does increasing ##L## keeping ##j_x## fixed, increase the spin hall voltage linearly (as seen from the equation)? If I simply increase ##L##, is it correct to say that I cannot magically increase the spin Hall voltage simply because ##j_x## will decrease as ##L^{-2}##?
Also, from the paper, doing a quick dimension analysis, I get the RHS as ##[IL T^{-1}]## whereas voltage has a dimension of ##[ML^2 I T^{-3}]##. Where am I going wrong?
I'm trying to understand the dependence of spin hall voltage on various parameters of the material. I have been going through this paper, and it is mentioned that $$V_{SH} = 2 \pi R_s L j_x n \mu_B$$
In the equation, only ##L## and ##j_x## seem to be the variables. Does increasing ##L## keeping ##j_x## fixed, increase the spin hall voltage linearly (as seen from the equation)? If I simply increase ##L##, is it correct to say that I cannot magically increase the spin Hall voltage simply because ##j_x## will decrease as ##L^{-2}##?
Also, from the paper, doing a quick dimension analysis, I get the RHS as ##[IL T^{-1}]## whereas voltage has a dimension of ##[ML^2 I T^{-3}]##. Where am I going wrong?