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

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.