van Veen, Edo and Yuan, Shengjun and Katsnelson, Mikhail I. and Polini, Marco and Tomadin, Andrea (2016) Quantum transport in Sierpinski carpets. Physical review B, 93 (11). ISSN 2469-9950
Full text not available from this repository.Abstract
Recent progress in the design and fabrication of artificial two-dimensional (2D) materials paves the way for the experimental realization of electron systems moving on complex geometries, such as plane fractals. In this work, we calculate the quantum conductance of a 2D electron gas roaming on a Sierpinski carpet (SC), i.e., a plane fractal with Hausdorff dimension intermediate between 1 and 2. We find that the fluctuations of the quantum conductance are a function of energy with a fractal graph, whose dimension can be chosen by changing the geometry of the SC. This behavior is independent of the underlying lattice geometry.