SKM 2023 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 31: Focus Session: Frontiers of Electronic-Structure Theory V (joint session O/HL)
HL 31.4: Talk
Wednesday, March 29, 2023, 15:45–16:00, TRE Ma
Time-linear quantum transport simulations with correlated nonequilibrium Green's functions — •Riku Tuovinen1, Yaroslav Pavlyukh2, Enrico Perfetto3, and Gianluca Stefanucci3 — 1Department of Physics, Nanoscience Center, University of Jyväskylä, Finland — 2Department of Theoretical Physics, Wroclaw University of Science and Technology, Poland — 3Dipartimento di Fisica, Università di Roma Tor Vergata, Italy
We present a time-linear scaling method for open and correlated quantum systems. The method inherits from many-body theory [1] the possibility of selecting the most relevant scattering processes, thereby paving the way for real-time characterizations of correlated ultrafast phenomena in quantum transport. The open system dynamics is described in terms of an embedding correlator from which the transient current can be calculated via the Meir-Wingreen formula [2]. We efficiently implement the method through a combination with recent time-linear schemes for closed systems [3]. Electron-electron and electron-phonon interactions can be treated on equal footing while preserving all fundametal conservation laws. We employ the method by studying transport of correlated electron-hole pairs in semiconductors [4].
[1] G. Stefanucci and R. van Leeuwen, Nonequilibrium Many-Body Theory of Quantum Systems (CUP 2013).
[2] Y. Meir and N. S. Wingreen, PRL 68, 2512 (1992).
[3] N. Schlünzen, J.-P. Joost, and M. Bonitz, PRL 124 (2020) 076601.
[4] R. Tuovinen, Y. Pavlyukh, E. Perfetto, and G. Stefanucci, arXiv:2211.15635 (2022).