info:eu-repo/semantics/article
Self-similar conductance patterns in graphene Cantor-like structures
Fecha
2017-04-04Registro en:
2045-2322
Autor
García Cervantes, Heraclio
Gaggero Sager, Luís Manuel
Díaz Guerrero, Dan Sidney
Sotolongo Costa, Oscar
Rodríguez Vargas, Isaac
Institución
Resumen
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 linearregime
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.