title: Dynamical polarizability, screening and plasmons in one, two and three dimensional massive Dirac systems.
abstract: We study the density-density response function of a collection of charged massive Dirac particles and present analytical expressions for the dynamical polarization function in one, two and three dimensions. The polarization function is then used to find the dispersion of the plasmon modes, and electrostatic screening of Coulomb interactions within the random phase approximation. We find that for massive Dirac systems, the oscillating screened potential (or density) decays as r-2and r-3in two and three dimensions respectively, and as r-1for one dimensional non-interacting systems. However for massless Dirac systems there is no electrostatic screening or Friedel oscillation in one dimension, and the oscillating screened potential decays as r-3and r-4, in two and three dimensions respectively. Our analytical results for the polarization function will be useful for exploring the physics of massive and massless Dirac electrons in different experimental systems with varying dimensionality.
authors.affiliation: Department of Physics, Indian Institute of Technology Kanpur, Kanpur 208016, India.
authors.forename: Anmol
authors.initials: A
authors.lastname: Thakur
authors.forename: Rashi
authors.initials: R
authors.lastname: Sachdeva
authors.forename: Amit
authors.initials: A
authors.lastname: Agarwal