Solving F-N Tunneling Equation Unit Match Problem

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The forum discussion addresses the challenge of matching units in the F-N tunneling equation, specifically focusing on a scenario where the left term has units of A/V². The user seeks assistance in aligning the right side of the equation to achieve unit consistency. The equation originates from the study of a thin vertical p-n junction composed of two-dimensional layered molybdenum disulfide, as referenced in the article from Nature. The left term is identified as a transcendental function, which necessitates a unitless representation for proper interpretation.

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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.
upload_2017-12-13_11-3-43.png

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

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