  In this paper we develop a new method to study the plasmon energy band
structure in multispecies plasmas. Using this method, we investigate plasmon
dispersion band structure of different plasma systems with arbitrary degenerate
electron fluid. The linearized Schr\"{o}dinger-Poisson model is used to derive
appropriate coupled pseudoforce system from which the energy dispersion
structure is calculated. It is shown that the introduction of ion mobility,
beyond the jellium (static ion) model with a wide plasmon energy band gap, can
fundamentally modify the plasmon dispersion character leading to a new form of
low-level energy band, due to the electron-ion band structure mixing. The
effects ionic of charge state and chemical potential of the electron fluid on
the plasmonic band structure indicate many new features and reveal the
fundamental role played by ions in the phonon assisted plasmon excitations in
the electron-ion plasma system. Moreover, our study reveals that ion charge
screening has a significant impact on the plasmon excitations in ion containing
plasmas. The energy band structure of pair plasmas confirm the unique role of
ions on the plasmon excitations in many all plasma environments. Current
research helps to better understand the underlying mechanisms of collective
excitations in charged environment and the important role of heavy species on
the elementary plasmon quasiparticles. The method developed in this research
may also be extended for complex multispecies and magnetized quantum plasmas as
well as to investigation the surface plasmon-polariton interactions in
nanometallic structures.
