11 April 2023 4 9K Report

I am currently studying Siesta (specifically Transiesta) to investigate electronic transport in materials. However, I am confused about the assumptions and applicability of the NEGF method and this software.

  • Is it necessary for NEGF or Transiesta to assume ballistic transport of electrons? If so, how can I ensure this when building a model? A solid-state physics professor believes that "To use the non-equilibrium Green's function method, both conditions of ballistic transport and no reflection at the contacts must be satisfied" while I read in a doctoral dissertation that "Landauer's formula mainly focuses on ballistic transport, but NEGF has a wider range of applications." Can I assume that NEGF does not require the assumption of ballistic transport when solving the model, and that the assumption is only used when calculating the transmission coefficient and current using Landauer's formula?
  • In the tutorial zerothi/ts-tbt-sisl-tutorial/ts_02(github.com), it is mentioned that "applying a bias to a bulk system is wrong" and "if you can't immediately figure this out, try and create a longer system by replacing device = elec.tile(3, axis=0) with, say: device = elec.tile(6, axis=0) and redo the calculation for a given bias. then compare the potential profiles." I know that applying a voltage to a pristine system has no physical meaning, but why is it also wrong to apply a voltage to a bulk system? From the hint given, it seems that the author simply increased the size of the device model by a factor of two along the current direction. Is this error related to ballistic transport, i.e., when the device size is no longer much smaller than the electron's mean free path? Is my understanding correct? Here are their potential profiles(the potential in the figures has been amplified by a factor of ten for better visualization). I cannot discern the meaning the author is trying to convey.
  • Please correct me if I have any misconceptions, as I am not a student majoring in physics. Thank you.

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