Fast evaluation of interaction integrals for confined systems with machine learning

Autor: Mreńca-Kolasińska, Alina, Kolasiński, Krzysztof, Szafran, Bartłomiej
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. B 102, 075422 (2020)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.102.075422
Popis: The calculation of interaction integrals is a bottleneck for the treatment of many-body quantum systems due to its high numerical cost. We conduct configuration interaction calculations of the few-electron states confined in III-V semiconductor 2D structures using a shallow neural network to calculate the two-electron integrals, that can be used for general isotropic interaction potentials. This approach allows for a speed up of the evaluation of the energy levels and a controllable accuracy.
Comment: 9 pages, 10 figures
Databáze: arXiv