International Physics Conference, St. Petersburg, October 23-27, 2023, St. Petersburg

Quantum transport in fractal lattices with Coulomb interaction

N. N. Konobeeva, R. R. Trofimov, M. B. Belonenko

Volgograd State University, 400062 Volgograd, Russia

Abstract: In this paper, we study quantum transport, namely, the dynamics of the electron density in a fractal lattice during the propagation of electrons in it. The fractal lattice is composed of nanowires and has the form of a Sierpinski triangle in the direction perpendicular to the direction of electron propagation. The fundamental point is to take into account the Coulomb repulsion of electrons at one lattice site.

Keywords: quantum transport, fractals, Hubbard model.

Received: 15.05.2023
Revised: 16.07.2023
Accepted: 30.10.2023

DOI: 10.61011/FTP.2023.07.56793.5152C

Bibliographic databases:

•