2011/12/12 by Mikkel H. Brynildsen, Brynildsen, Mikkel H., Horia D. Cornean +1
Materials Science · Mathematics · Physics and Astronomy · #82C10 #82D80 #FOS: Physical sciences #Graphene research and applications #Mathematical Physics (math-ph) #Quantum and Classical Electrodynamics #Quantum and electron transport phenomena #math-ph #math.MP #msc:82C10 #msc:82D80
paper · pdf · doi:10.48550/arxiv.1112.2613
23 pages, 4 figures, revised version
openalex publication_date 2011/12/12 · arxiv created 2013/02/21 · arxiv updated 2013/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a rigorous and rather self-contained analysis of the Verdet constant in graphene- like materials. We apply the gauge-invariant magnetic perturbation theory to a nearest- neighbour tight-binding model and obtain a relatively simple and exactly computable formula for the Verdet constant, at all temperatures and all frequencies of sufficiently large absolute value. Moreover, for the standard nearest neighbour tight-binding model of graphene we show that the transverse component of the conductivity tensor has an asymptotic Taylor expansion in the external magnetic field where all the coefficients of even powers are zero.