2010/10/25 by Maria A. H. Vozmediano, María A. H. Vozmediano · 1 citation
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Bilayer graphene #Coulomb #Fermi surface #Graphene #Graphene research and applications #Hamiltonian (control theory) #Massless particle #Renormalization #Renormalization group #Topological Materials and Phenomena #cond-mat.str-el #hep-th
paper · pdf · doi:10.1098/rsta.2010.0383
published as Phil.Trans.Roy.Soc.Lond.A369:2625-2642,2011 · Proceedings of 'New applications of the renormalization group method in nuclear, particle and condensed matter physics' INT Seattle 2010 to appear in Phylosophical Transactions
arxiv created 2010/10/25 · openalex publication_date 2011/06/06 · arxiv updated 2011/07/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Graphene is a two-dimensional crystal of carbon atoms with fascinating electronic and morphological properties. The low-energy excitations of the neutral, clean system are described by a massless Dirac Hamiltonian in (2+1) dimensions, which also captures the main electronic and transport properties. A renormalization group analysis sheds light on the success of the free model: owing to the special form of the Fermi surface that reduces to two single points in momentum space, short-range interactions are irrelevant and only gauge interactions such as long-range Coulomb or effective disorder can play a role in the low-energy physics. We review these features and briefly discuss other aspects related to disorder and to the bilayer material along the same lines.