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- W3048308058 abstract "We construct a minimal theory describing the optical activity of a thin sheet of a material, the simplest example of which is bilayer graphene. We introduce the notion of twisted electrical conductivity, which parametrizes the parity-odd response of a thin film to a perpendicularly falling electromagnetic waves with wavelength larger than the thickness of the sheet. We show that the low-frequency Faraday rotation angle has different behaviors in different phases. For an insulator, the Faraday angle behaves as $omega^2$ at low frequencies, with the coefficient being determined by the linear relationship between a component of the electric quadrupole moment and the external electric field. For superconductors, the Faraday rotation angle is constant when the frequency of the incoming EM waves is below the superconducting gap and is determined by the coefficient of the Lifshitz invariant in the Ginzburg-Landau functional describing the superconducting state. In the metallic state, we show that the conductivity is proportional to the helicity (scalar product of the velocity and the magnetic moment) of the quasiparticle, averaged around the Fermi surface. The theory is general and is applicable to strongly correlated phases." @default.
- W3048308058 created "2020-08-13" @default.
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- W3048308058 date "2020-08-06" @default.
- W3048308058 modified "2023-09-27" @default.
- W3048308058 title "Electrodynamics of Thin Sheets of Twisted Material" @default.
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