Mobility of 2D material, sigma=N*e*mu with N surface density

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Hyo X
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I have measured the conductivity of a 2D material.
I want to use σ=N⋅e⋅μ to find the mobility μ=σ/(N⋅e).
https://en.wikipedia.org/wiki/Electron_mobility#Relation_to_conductivity

I have measured N using a spectroscopic/imaging technique to get a Surface Density with units [cm^-2].
Mobility is normally [cm^2/(V⋅s)] but with my N units I get [cm/(V⋅s)].
Does anyone have a good reference for calculating mobility in 2D materials? Do 2D materials have mobility in different units than bulk/3D materials?

Thanks for your time.
 
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