Quantum transport on honeycomb networks

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung


  • Geyson Maquiné Batalha - , Universidade Federal do Amazonas (Autor:in)
  • Antonio Volta - , ARPAE-SIMC (Autor:in)
  • Walter T. Strunz - , Technische Universität Dresden (Autor:in)
  • Mircea Galiceanu - , Universidade Federal do Amazonas (Autor:in)


We study the transport properties on honeycomb networks motivated by graphene structures by using the continuous-time quantum walk (CTQW) model. For various relevant topologies we consider the average return probability and its long-time average as measures for the transport efficiency. These quantities are fully determined by the eigenvalues and the eigenvectors of the connectivity matrix of the network. For all networks derived from graphene structures we notice a nontrivial interplay between good spreading and localization effects. Flat graphene with similar number of hexagons along both directions shows a decrease in transport efficiency compared to more one-dimensional structures. This loss can be overcome by increasing the number of layers, thus creating a graphite network, but it gets less efficient when rolling up the sheets so that a nanotube structure is considered. We found peculiar results for honeycomb networks constructed from square graphene, i.e. the same number of hexagons along both directions of the graphene sheet. For these kind of networks we encounter significant differences between networks with an even or odd number of hexagons along one of the axes.


FachzeitschriftScientific reports
PublikationsstatusVeröffentlicht - 27 Apr. 2022
Extern publiziertJa

Externe IDs

PubMed 35478202
WOS 000788639400052
Mendeley 389d3e93-851a-33d0-8266-94f982a8178c
ORCID /0000-0002-7806-3525/work/142234211


ASJC Scopus Sachgebiete


  • Quantum Transport