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How do I derive the 2D electron density used in nano MOSFET calculations?

In nanomos-2.5, the density of charge is obtained by multiplying the square of the wavefunction by a prefactor: with semiclassical method, that prefactor is given by
2*2*(sqrt(mx*my)*m_e*k_B*Temp)/(2*pi^1.5*h_bar^2)

while in the full ballistic transport, it is given by

2*sqrt(mx*m_e*(k_B*Temp/q)*q/(2*pi^3))/h_bar.

Could someone tell me how these two factors are derived or a good reference?

Thank you.

George

Tags:

1. nano MOSFET

Asked by George Pau - 1 month ago - 0 responses