Author Topic: WKB approximation  (Read 2175 times)

0 Members and 1 Guest are viewing this topic.

Offline Lopa

  • New QuantumATK user
  • *
  • Posts: 3
  • Country: in
  • Reputation: 0
    • View Profile
WKB approximation
« on: January 14, 2020, 07:53 »
I am using QATK ver 2016.4 perpetual licence.

We have used Brenner (ASAP) potential parameter set for calculating the classical potential of a phonon (for SiNR and GeNR). Tersoff SiGe potential set is used with frozen phonon method. To calculate the phonon properties, i.e. forces and dynamical matrix 180 small displacements measuring 0.01 Ǻ are applied. The heat current is calculated considering the contribution of both electron and phonon. The transport calculations are carried out with the Landauer theory and the non-equilibrium Green’s function (NEGF) framework in Atomistix Tool Kit (ATK).

Is WKB approximation valid under such a scenario?
« Last Edit: January 14, 2020, 09:20 by Petr Khomyakov »

Offline Petr Khomyakov

  • QuantumATK Staff
  • Supreme QuantumATK Wizard
  • *****
  • Posts: 1290
  • Country: dk
  • Reputation: 25
    • View Profile
Re: WKB approximation
« Reply #1 on: January 16, 2020, 11:54 »
I am using QATK ver 2016.4 perpetual licence.

Is WKB approximation valid under such a scenario?

How is this question related to QuantumATK? QuantumATK has no methodology based on a semiclassical WKB approximation. To the best of my knowledge, WKB has a very limited range of validity for modern electron (quantum) transport problems, where quantum effects are important.