Algorithmic Derivation of Surface Plasmon Polariton Dispersion in Weyl Semimetals with Multiple Weyl Node Pairs
Cindy Agnitya Pramudita1, Edi Suprayoga2, Muhammad Aziz Majidi1

1 Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Depok 16424, Indonesia *cindy.agnitya[at]sci.ui.ac.id
2 Research Center for Quantum Physics, National Research and Innovation Agency
(BRIN), South Tangerang 15314, Indonesia

Abstract

Weyl semimetals have attracted significant attention due to their unique topological properties and unconventional electromagnetic responses arising from the presence of Weyl nodes. These features make them promising candidates for plasmonic applications, particularly in the study of surface plasmon polaritons (SPPs). In this work, we investigate the dispersion relation of SPPs in Weyl semimetals by incorporating a more realistic model involving multiple pairs of Weyl nodes. Starting from Maxwell^s equations and applying appropriate boundary conditions at the interface, the SPP dispersion relation is derived analytically. Unlike conventional approaches that consider only a single pair of Weyl nodes, this study includes the cumulative contribution of twelve pairs of nodes through a summation framework, leading to a modified electromagnetic response. Furthermore, a simplified band structure model is constructed to visualize the distribution of Weyl nodes and to examine their influence on the plasmonic behavior. The results show that the multi-node contribution significantly affects the dispersion characteristics of SPPs, indicating the importance of considering realistic band structures in topological plasmonic systems. This study provides a more comprehensive understanding of SPP propagation in Weyl semimetals and may contribute to the development of advanced plasmonic and optoelectronic devices.

Keywords: Weyl semimetals, surface plasmon polaritons, Weyl nodes

Topic: Instrumentation and Computational Physics