Solving F-N Tunneling Equation Unit Match Problem

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Ghazanfar
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Hi, Everyone, Hope you are fine and doing great. I am new here and need to ask how can we match both sides of F-N tunneling equation in unit. I am attaching the equation, i am working on but i could not solve the unit match problem.
Equation: ln(I_D,FNT / V_D^2) = ln(A_eff q^3 m_0 / (8 pi h phi_B d^2 m*)) - (8 pi sqrt(2 m*) phi_B^(3/2) d) / (3 h q V_D).

if the left term has unit A/V2 then how can we solve 2nd term in the right side to have exactly same units. Please help...attached is the link from which i took this equation.
Ultimate thin vertical p–n junction composed of two-dimensional layered molybdenum disulfide (https://www.nature.com/articles/ncomms7564)
 
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  • Equation: ln(I_D,FNT / V_D^2) = ln(A_eff q^3 m_0 / (8 pi h phi_B d^2 m*)) - (8 pi sqrt(2 m*) phi_B^(3/2) d) / (3 h q V_D).
    upload_2017-12-13_11-3-43.png
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Discussion

The term on the left is a transcendental function, and therefore to make sense must have no units.