Multi-terminal magneto-transport in an interacting fractal network: a mean field study

TL;DR

This study investigates magneto-transport in an interacting fractal network using a mean field approach, revealing how magnetic flux and dephasing influence electron transmission and spectral properties.

Contribution

It provides a detailed analysis of three-terminal magneto-transport in a fractal network considering electron-electron interactions and dephasing effects, which is novel.

Findings

Dephasing reduces electron transmission.

Magnetic flux creates a continuum in the transmission spectrum.

Interactions and dephasing open spectral gaps but do not eliminate the continuum.

Abstract

Magneto-transport of interacting electrons in a Sierpinski gasket fractal is studied within a mean field approach. We work out the three-terminal transport and study the interplay of the magnetic flux threading the planar gasket and the dephasing effect introduced by the third lead. For completeness we also provide results of the two-terminal transport in presence of electron-electron interaction. It is observed that dephasing definitely reduces the transport, while the magnetic field generates a continuum in the transmission spectrum signaling a band of extended eigenstates in this non-translationally invariant fractal structure. The Hubbard interaction and the dephasing introduced by the third lead play their parts in reducing the average transmission, and opens up gaps in the spectrum, but can not destroy the continuum in the spectrum.