On the Nature of the Fundamental Plasma Excitation in a Plasmonic Crystal

Abstract: We report on the experimental study of the spectrum of plasma excitations in a plasmonic crystal fabricated from the two-dimensional electron system in an AlGaAs/GaAs semiconductor heterostructure. Our results reveal that the plasmonic crystal supports only a single fundamental plasma mode, challenging the current theoretical understanding that anticipates multiple modes. This unexpected finding is supported by comprehensive research on the mode frequency and relaxation as a function of the gate width across different plasmonic crystal periods. Furthermore, we develop an analytical approach that accurately describes the behavior of plasma excitations in plasmonic crystals, providing new insights into the fundamental physics of plasmonic systems.