A diagrammatic description of the equations of motion, current and noise within the second-order von Neumann approach

@article{Karlstrom2013ADD,
  title={A diagrammatic description of the equations of motion, current and noise within the second-order von Neumann approach},
  author={O. Karlstrom and C. Emary and P. Zedler and J. Pedersen and C. Bergenfeldt and P. Samuelsson and T. Brandes and A. Wacker},
  journal={Journal of Physics A},
  year={2013},
  volume={46},
  pages={065301}
}
  • O. Karlstrom, C. Emary, +5 authors A. Wacker
  • Published 2013
  • Mathematics, Physics
  • Journal of Physics A
  • We investigate the second-order von Neumann approach from a diagrammatic point of view and demonstrate its equivalence with the resonant tunneling approximation. The investigation of higher order diagrams shows that the method correctly reproduces the equation of motion for the single-particle reduced density matrix of an arbitrary non-interacting many-body system. This explains why the method reproduces the current exactly for such systems. We go on to show, however, that diagrams not included… CONTINUE READING
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