Transfer matrix approach for the Kerr and Faraday rotation in layered nanostructures

Gábor Széchenyi, Máté Vigh, Andor Kormányos, József Cserti

Research output: Contribution to journalArticle

8 Citations (Scopus)


To study the optical rotation of the polarization of light incident on multilayer systems consisting of atomically thin conductors and dielectric multilayers we present a general method based on transfer matrices. The transfer matrix of the atomically thin conducting layer is obtained using the Maxwell equations. We derive expressions for the Kerr (Faraday) rotation angle and for the ellipticity of the reflected (transmitted) light as a function of the incident angle and polarization of the light. The method is demonstrated by calculating the Kerr (Faraday) angle for bilayer graphene in the quantum anomalous Hall state placed on the top of dielectric multilayers. The optical conductivity of the bilayer graphene is calculated in the framework of a four-band model.

Original languageEnglish
Article number375802
JournalJournal of Physics Condensed Matter
Issue number37
Publication statusPublished - Jul 15 2016


  • Kerr-Faraday rotation
  • layered materials
  • transfer-matrix

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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