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

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