2007/07/31 by Tobias Stauber, T. Stauber, N. M. R. Peres
Materials Science · Physics and Astronomy · #Boltzmann constant #Condensed matter physics #Conductivity #Dirac (video compression format) #Fermi energy #Graphene #Graphene research and applications #Kubo formula #Optical conductivity #Phonon #Physics #Polaron #Propagator #Quantum and electron transport phenomena #Quantum mechanics #Renormalization #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1088/0953-8984/20/5/055002
published as J. Phys.: Condens. Matter 20, 055002 (2008) · 13 pages, 4 figures
openalex publication_date 2008/01/17 · arxiv created 2008/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We obtain the self-energy of the electronic propagator due to the presence of Holstein polarons within the first Born approximation. This leads to a renormalization of the Fermi velocity of 1%. We further compute the optical conductivity of the system at the Dirac point and at finite doping within the Kubo formula. We argue that the effects due to Holstein phonons are negligible and that the Boltzmann approach, which does not include inter-band transitions and can thus not treat optical phonons due to their high energy of eV, remains valid.