Fig. 1: Dispersion relation of GPPs in both doped non-magnetized graphene and magnetized charge neutral graphene (CNG). | Communications Physics

Fig. 1: Dispersion relation of GPPs in both doped non-magnetized graphene and magnetized charge neutral graphene (CNG).

From: Interband plasmon polaritons in magnetized charge-neutral graphene

Fig. 1

a Schematics for propagating graphehe plasmon-polaritons (GPP) and optical transitions between the valence band and the conduction band in the doped non-magnetized graphene. The electron filling is shown by the dark gray color. b Real and imaginary parts of the normalized conductivity of doped non-magnetized graphene (shown in units of the fine structure constant α0 = 1/137) as a function of frequency, v. The frequency bands where Im[α] > 0 and Im[α] < 0 are highlighted by white and blue horizontal stripes, respectively. c Dispersion relations for GPPs in doped non-magnetized graphene calculated at zero temperature, T, at Fermi energy EF = 0.1 eV and relaxation time τ = 1 ps. d Schematics for propagating GPP and schematics of optical transitions between the valence band and the conduction band in magnetized CNG. The electron filling is shown by the dark gray color. Landau levels are shown by blue and red lines in the Dirac cones. e Real and imaginary parts of the normalized conductivity of magnetized CNG as a function of frequency, v. The frequency bands where Im[α] > 0 and Im[α] < 0 are highlighted by white and blue horizontal stripes, respectively. f Dispersion relations for GPPs in magnetized CNG calculated at T = 0oK, τ = 1 ps and applied magnetic field B = 1.3 T.

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