Quantum transport in Sierpinski carpets

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

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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.

Item Type: Journal Article
Journal or Publication Title: Physical review B
Departments: Faculty of Science and Technology > Physics
ID Code: 129048
Deposited By: ep_importer_pure
Deposited On: 22 Nov 2018 16:28
Refereed?: Yes
Published?: Published
Last Modified: 08 Oct 2019 03:34
URI: https://eprints.lancs.ac.uk/id/eprint/129048

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