Influence of Impurity Scattering on Surface Plasmons in Graphene in the Lindhard Approximation

Abstract

We study the influence of impurity scattering on transverse magnetic (TM) and transverse electric (TE) surface plasmons (SPs) in graphene using the Lindhard approximation. We show how the behaviour and domains of TM SPs are affected by the impurity strength γ and determine the critical value γc below which no SPs exist. The quality factor of TM SPs, for single-band and two-band transitions, is proportional to the square of αλSP/γ, with α being the fine-structure constant and λSP being the plasmon wavelength. In addition, we show that impurity scattering suppresses TE SPs.

Transverse Magnetic Surface Plasmons in Graphene Nanoribbon Qubits: The Influence of a VO2 Substrate

“…Note that q and denote the wave vector and frequency of the excited surface plasmon mode. In Equation ( 1 ), denotes the conductivity of the quantum material given by [ 44 ]: with e and being the electron charge and polarization function, respectively [ 45 ]. In the absence of many-body effects, such as Coulomb interaction or exchange effects, this quantity for AGNRs and SB transitions is given by [ 40 ]: and for TB transitions, it is given by: where , , and are the dimensionless wave vector, frequency, and renormalized Fermi velocity, respectively [ 46 ].…”