Fractal nanoparticle plasmonics: the Cayley tree

ACS Nano
Samuel GottheimNaomi J Halas

Abstract

There has been strong, ongoing interest over the past decade in developing strategies to design and engineer materials with tailored optical properties. Fractal-like nanoparticles and films have long been known to possess a remarkably broad-band optical response and are potential nanoscale components for realizing spectrum-spanning optical effects. Here we examine the role of self-similarity in a fractal geometry for the design of plasmon line shapes. By computing and fabricating simple Cayley tree nanostructures of increasing fractal order N, we are able to identify the principle behind how the multimodal plasmon spectrum of this system develops as the fractal order is increased. With increasing N, the fractal structure acquires an increasing number of modes with certain degeneracies: these modes correspond to plasmon oscillations on the different length scales inside a fractal. As a result, fractals with large N exhibit broad, multipeaked spectra from plasmons with large degeneracy numbers. The Cayley tree serves as an example of a more general, fractal-based route for the design of structures and media with highly complex optical line shapes.

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Citations

Sep 1, 2015·Nano Letters·Alessia PallaoroMartin Moskovits
Sep 16, 2015·Proceedings of the National Academy of Sciences of the United States of America·Yihui ZhangJohn A Rogers
Dec 15, 2016·Nano Letters·Jieran FangAlexander V Kildishev
Nov 8, 2018·The Analyst·Gregory Q Wallace, François Lagugné-Labarthet
Nov 15, 2019·Nanotechnology·Lisa SeitlMonika Fleischer
Jul 29, 2017·Scientific Reports·W J WattersonR P Taylor
May 10, 2018·Frontiers in Neuroscience·William J WattersonRichard P Taylor
Jul 26, 2017·Scientific Reports·Ke GuoA Femius Koenderink
Aug 2, 2019·Optics Letters·Gregory Q WallaceFrançois Lagugné-Labarthet
Nov 7, 2019·Advanced Materials·Ren-Hao FanMu Wang
Apr 29, 2020·Nanomaterials·Vassil TzanovNúria Barniol
Apr 9, 2020·Molecules : a Journal of Synthetic Chemistry and Natural Product Chemistry·Huan ChenXiaopeng Zhao
Aug 19, 2018·Optics Express·Ana Conde-RubioAmílcar Labarta
Aug 14, 2019·Chemical Communications : Chem Comm·Zhaoliang YuFrank Endres
Oct 31, 2017·ACS Nano·Edson P BellidoGianluigi A Botton

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