Low-frequency optical conductivity in graphene and in other scale-invariant two-band systems

Ádám Bácsi, Attila Virosztek

Research output: Contribution to journalArticle

33 Citations (Scopus)


We investigate optical transitions of noninteracting electron systems consisting of two symmetric energy bands touching each other at the Fermi energy (e.g., graphene at half-filling). Optical conductivity is obtained using Kubo formula at zero temperature. We show that for particles whose pseudospin direction is determined solely by the direction of their momentum, the optical conductivity has power-law frequency dependence with the exponent (d-2)/z where d is the dimension of the system and z is the dynamical exponent. According to our result two-dimensional systems with the above pseudospin characteristics always exhibit frequency-independent optical conductivity.

Original languageEnglish
Article number125425
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number12
Publication statusPublished - Mar 25 2013


ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this