Metamaterials in which plasmas are included have significant properties that may not be found in ordinary metamaterials. The permittivity function of these engineered materials can be rapidly manipulated by applying external electric and magnetic field or changing the gas pressure, temperature, and collisional frequency. We investigate the conditions necessary for the existence of Dyakonov surface waves (DSWs) propagating along the interface of a plasma metamaterial (PMM) and an isotropic dielectric material in the terahertz region. We assume the PMM to be a multilayer structure that consists of plasma and background isotropic material alternately. The influence of considering the plasma collisional loss in the DSW dispersion curve is studied. We demonstrate that the angular regions in which the DSW propagation is allowed can be tuned and significantly expanded. We also show that the large birefringence represented by the PMM allows DSWs to exist within large angular existence domains and levels of localization similar to plasmons, thus making these surface waves available for practical applications.
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