Self-similar conductance patterns in graphene Cantor-like structures

Abstract Graphene has proven to be an ideal system for exotic transport phenomena. In this work, we report another exotic characteristic of the electron transport in graphene. Namely, we show that the linear-regime conductance can present self-similar patterns with well-defined scaling rules, once t...

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Autores principales:	H. García-Cervantes, L. M. Gaggero-Sager, D. S. Díaz-Guerrero, O. Sotolongo-Costa, I. Rodríguez-Vargas
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/d2b6223c63164adfad1599933d2a8479
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spelling	oai:doaj.org-article:d2b6223c63164adfad1599933d2a84792021-12-02T12:30:54ZSelf-similar conductance patterns in graphene Cantor-like structures10.1038/s41598-017-00611-z2045-2322https://doaj.org/article/d2b6223c63164adfad1599933d2a84792017-04-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-00611-zhttps://doaj.org/toc/2045-2322Abstract Graphene has proven to be an ideal system for exotic transport phenomena. In this work, we report another exotic characteristic of the electron transport in graphene. Namely, we show that the linear-regime conductance can present self-similar patterns with well-defined scaling rules, once the graphene sheet is subjected to Cantor-like nanostructuring. As far as we know the mentioned system is one of the few in which a self-similar structure produces self-similar patterns on a physical property. These patterns are analysed quantitatively, by obtaining the scaling rules that underlie them. It is worth noting that the transport properties are an average of the dispersion channels, which makes the existence of scale factors quite surprising. In addition, that self-similarity be manifested in the conductance opens an excellent opportunity to test this fundamental property experimentally.H. García-CervantesL. M. Gaggero-SagerD. S. Díaz-GuerreroO. Sotolongo-CostaI. Rodríguez-VargasNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-10 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q H. García-Cervantes L. M. Gaggero-Sager D. S. Díaz-Guerrero O. Sotolongo-Costa I. Rodríguez-Vargas Self-similar conductance patterns in graphene Cantor-like structures
description	Abstract Graphene has proven to be an ideal system for exotic transport phenomena. In this work, we report another exotic characteristic of the electron transport in graphene. Namely, we show that the linear-regime conductance can present self-similar patterns with well-defined scaling rules, once the graphene sheet is subjected to Cantor-like nanostructuring. As far as we know the mentioned system is one of the few in which a self-similar structure produces self-similar patterns on a physical property. These patterns are analysed quantitatively, by obtaining the scaling rules that underlie them. It is worth noting that the transport properties are an average of the dispersion channels, which makes the existence of scale factors quite surprising. In addition, that self-similarity be manifested in the conductance opens an excellent opportunity to test this fundamental property experimentally.
format	article
author	H. García-Cervantes L. M. Gaggero-Sager D. S. Díaz-Guerrero O. Sotolongo-Costa I. Rodríguez-Vargas
author_facet	H. García-Cervantes L. M. Gaggero-Sager D. S. Díaz-Guerrero O. Sotolongo-Costa I. Rodríguez-Vargas
author_sort	H. García-Cervantes
title	Self-similar conductance patterns in graphene Cantor-like structures
title_short	Self-similar conductance patterns in graphene Cantor-like structures
title_full	Self-similar conductance patterns in graphene Cantor-like structures
title_fullStr	Self-similar conductance patterns in graphene Cantor-like structures
title_full_unstemmed	Self-similar conductance patterns in graphene Cantor-like structures
title_sort	self-similar conductance patterns in graphene cantor-like structures
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/d2b6223c63164adfad1599933d2a8479
work_keys_str_mv	AT hgarciacervantes selfsimilarconductancepatternsingraphenecantorlikestructures AT lmgaggerosager selfsimilarconductancepatternsingraphenecantorlikestructures AT dsdiazguerrero selfsimilarconductancepatternsingraphenecantorlikestructures AT osotolongocosta selfsimilarconductancepatternsingraphenecantorlikestructures AT irodriguezvargas selfsimilarconductancepatternsingraphenecantorlikestructures
_version_	1718394307728113664

Self-similar conductance patterns in graphene Cantor-like structures

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