Circulating persistent current and induced magnetic field in a fractal network
arXiv:1510.08035 · doi:10.1016/j.physleta.2016.03.020
Abstract
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 are 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.
8 pages, 11 figures (Accepted for Publication in: Physics Letters A)
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