2010/10/17 by A. D. Alhaidari, Ahmed Jellal, A. Jellal +3 · 1 voice
Computer Science · Materials Science · Physics and Astronomy · #Graphene research and applications #Parallel Computing and Optimization Techniques #Quantum Electrodynamics and Casimir Effect #cond-mat.mes-hall #hep-th #quant-ph
paper · pdf · doi:10.1166/qm.2013.1039
arxiv published 2010/10/17 · arxiv updated 2010/10/17 · openalex publication_date 2013/04/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Fermions in a graphene sheet behave like massless particles.We show that by folding the sheet into a tube they acquire non-zero effective mass as they move along the tube axis.That is, changing the space topology of graphene from 2D to 1D (space compactification) changes the 2D massless problem into an effective massive 1D problem.The size of the resulting mass spectrum depends on the quantized azimuthal frequency and its line spacing is proportional to the inverse of the tube diameter.