ChemicalPotential

graphenemodeling.graphene.monolayer.ChemicalPotential(n, T=0, model='LowEnergy')

Returns the chemical potential given the carrier density.

Essentially the inverse of Carrier Density.

Parameters:

• n (array-like, m ^-2) – Carrier density
• T (scalar, K) – Temperature

Returns:

Return type:

array-like

Notes

When T=0 and model='LowEnergy' simultaneously, a closed form expression is used.

\[E_F = \hbar v_F\sqrt{\pi n}\]

For T>0, we use a numerical routine regardless of model.