Circulating persistent current and induced magnetic field in a fractal network

• Voltage driven circular current is analyzed in a fractal network.
• Current induced magnetic field is strong enough to flip a spin.
• Anisotropy in hopping enhances overall transport current.

We present the overall conductance as well as the circulating currents in individual loops of a Sierpinski gasket (SPG) as we apply bias voltage via the side attached electrodes. SPG being a self-similar structure, its manifestation on loop currents and magnetic fields is examined in various generations of this fractal and it has been observed that for a given configuration of the electrodes, the physical quantities exhibit certain regularity as we go from one generation to another. Also a notable feature is the introduction of anisotropy in hopping causes an increase in magnitude of overall transport current. These features are a subject of interest in this article.