Abstract
We used the layered electron gas model to perform a theoretical study of frequency and line shape for plasmons below T c in cuprate superconductors, in the frequency range h ̵ ω≤2Δ≤ qv F< k B T< k B T c, where q, Δ, v F, k B and T are the component of the wave vector in the a- b-plane, the binding energy of a Cooper pair, Fermi velocity, Boltzmann constant and the temperature, respectively. The polarizability for a two-dimensional plane, which corresponds to a conducting Cu-O plane, is calculated for the above-mentioned ω-range. The calculated polarizability is then used to calculate the imaginary part of the inverse dielectric response function, which gives rise to the frequency and line shape of plasmons. The calculated plasmon frequencies and the line shapes are found to be of similar nature to that of a three-dimensional electron gas below T c.
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