Dirac cones for bi- and trilayer Bernal-stacked graphene in a quantum graph model

Autor:	de Oliveira, Cesar R., Rocha, Vinicius L.
Rok vydání:	2020
Předmět:	Mathematical Physics Condensed Matter - Mesoscale and Nanoscale Physics Quantum Physics 81Q10 (34L40 47E05 81U30)
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/abc6c1
Popis:	A quantum graph model for a single sheet of graphene is extended to bilayer and trilayer Bernal-stacked graphene; the spectra are characterized and the dispersion relations explicitly obtained; Dirac cones are then proven to be present only for trilayer graphene, although the bilayer has a gapless parabolic band component. Our model rigorously exhibits basic facts from tight-binding calculations, effective two-dimensional models and a $\pi$-orbital continuum model with nearest-neighbour tunneling that have been discussed in the physics literature. Comment: J. Phys. A: Math. Theor., 29 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.08658 Zobrazit plný text záznamu View this record from Arxiv