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Quantum transport in fractal lattices with Coulomb interaction
Konobeeva N.N.
1, Trofimov R.R.1, Belonenko M.B.
1
1Volgograd State University, Volgograd, Russia
Email: yana_nn@volsu.ru
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.
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