Landauer-Biittiker formula

It looks as simple as the Landauer-Biittiker formula, but it is not trivial, because the spectral density A(e) = —21mGR(e) now depends on the distribution function of the electrons in the fluctuating molecule and hence the applied voltage, cpR = —cpR = V/2 [123]. Indeed, GR(e) can be found from (201)... 

Then, the conventional density matrix calculation procedure can be replaced by the above G -based method (Fig. 11.7). Using the converged electron density, we can calculate transmission coefficients as a function of energy and current (/) at the given bias voltage (Vb) through the Landauer-Biittiker formula as follows ... 

Biittiker M, Imry Y, Landauer R, Pinhas S (1985) Generalized many-channel conductance formula with application to small rings. Phys Rev B 31(10) 6207... 

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