Fractal Properties of CdTe Quantum Dots Dendrites
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ANOPHOTONICS
Fractal Properties of CdTe Quantum Dots Dendrites1 O. M. Kushchenkoa, *, S. S. Rudyia, L. N. Borodinaa, S. A. Cherevkova, and Yu. V. Rozhdestvenskya a ITMO
University, St. Petersburg, 197101 Russia * e-mail: [email protected]
Received January 18, 2020; revised January 18, 2020; accepted April 20, 2020
Abstract—Here we present the analyses of fractal properties of CdTe dendrites. The spectral characteristics of dendrites obtained at different acids of the initial solution were investigated. We demonstrate the displacement of the local luminescence peak depended on the branches of the dendritic structure. The fractal dimension has been calculated by the box-counting method. We obtained the correlation between the local peak of luminescence and the Minkowski dimension. Keywords: fractal dimension, dendrites, quantum dots, CdTe, Minkowski dimension DOI: 10.1134/S0030400X20080202
INTRODUCTION The study of technologies for producing synthetic “smart materials” was developed at the end of the 20th century [1–4]. Materials based on two-dimensional allotropic modifications of carbon attract the attention of researchers from various fields of science and industry [3, 5]. This interest is due to the potentially wide range of applications for such materials, ranging from plasmonic to the alternative basis for nanoscale heterostructure transistors [4, 6, 7]. Finally, studies in the field of graphene were awarded the 2010 Nobel Prize. Smart materials, such as graphene, have a regularly ordered structure that provides the necessary functional properties. At the same time, there are ordered self-similar structures, to which dendrites belong [8– 12]. Such structures, unlike spatially regular materials, are characterized by fractional values of fractal dimension rather than integer ones. This difference has a significant impact on the properties of intelligent materials. Despite some difficulties associated with the study of self-similar structures (such as difficult reproducibility), they have spatial heterogeneity of physical properties. This means that properties can be regulated by changing the area/scaling of the structure. This aspect fundamentally distinguishes materials with fractional (fractal) dimension from “classical” ones (with integer dimension values) and opens possibilities for potential applications of dendritic structures. To date, materials with fractional fractal dimensions, such as dendritic structures obtained in the pro1 The 2nd International School-Conference for young researchers
“Smart Nanosystems for Life,” St. Petersburg, Russia, December 10–13, 2019.
cess of self-organization of quantum dots (QD), are widely studied. The study of the structures to date has been limited to an exclusive consideration of spectral properties [13]. In this paper, we propose to investigate the relationship between topological characteristics of the dendritic structure, such as the fractal dimension with the spectral characteristics of CdTe quantum dots. SPECTRAL PROPERTIES OF QUANTUM DOT DENDRITES Dendri
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