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Condens. Matter 2016, 1(1), 9; doi:10.3390/condmat1010009

Theory of Plasmons for Two-Dimensional Materials in the Random Phase Approximation

Department of Applied Physics and Quantum-Phase Electronics Center, Graduate School of Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan
Academic Editors: Augusto Marcelli and Antonio Bianconi
Received: 31 October 2016 / Revised: 7 December 2016 / Accepted: 9 December 2016 / Published: 14 December 2016
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A theory is derived for plasmons in two-dimensional (2D) materials by using three-dimensional (3D) plasmon theory, which was reported previously in the random phase approximation under high frequency conditions. When the 3D local electron density is expressed by the 2D local electron density n 2 D multiplied by the delta function in the thickness direction, a self-consistent integral equation for the scalar potential is derived using only n 2 D and the 2D Coulomb potential. The integral equation consists of the edge and planar plasmon terms which give their resonant frequencies. These frequencies are analytically calculated for uniform 2D atomic layers and nanodisks with step function-like electron densities at their edges. The light emission intensities from the nanodisks are also calculated. These frequencies are compared with those for the 2D and 3D Weyl fermions, i.e., massless Dirac fermions. View Full-Text
Keywords: plasmon; 2D material; Schrödinger fermion; Weyl fermion plasmon; 2D material; Schrödinger fermion; Weyl fermion
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Ichikawa, M. Theory of Plasmons for Two-Dimensional Materials in the Random Phase Approximation. Condens. Matter 2016, 1, 9.

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