Hi Folks,(adsbygoogle = window.adsbygoogle || []).push({});

In the quantum transport, specially in calculating nano transistors' characteristics, we use a set of equations to find electron's density and specteral function. I want to know where they came from. The equations are :

[G]: Green's function matrix

[A(E)]: Spectral function

f1: fermi function in source

f2: fermi function in drain

H: Hamiltonian

[itex] [G] = [EI - H - \Sigma_{1} - \Sigma_{2} ]^{-1} [/itex]

Equ1: [itex] [A(E)] = i [G - G\dagger] [/itex]

Equ2: [itex] [G^{n}(E)] = [G \Gamma_{1} G \dagger] f1 + [G \Gamma_{2} G\dagger] f2 [/itex]

Could anyone say how I can prove these equations from Green's function definition?

Thanks

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Quantum Transport Equations in Nanoelectronics

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads - Quantum Transport Equations | Date |
---|---|

A Physical meaning of terms in the Qi, Wu, Zhang model | Jan 20, 2018 |

A Light polarization in charged exciton in Voigt configuration | Dec 11, 2017 |

A Why must colloidal quantum dots be semiconductors? | Sep 20, 2017 |

I How to understand diffusive and ballistic transport? | Nov 18, 2016 |

**Physics Forums - The Fusion of Science and Community**