Abstract

The Matsubara functions and their Fourier transforms of “free” ( p, q)-deformed phonon systems with two possible Hamiltonians are discussed. It is shown that with the ( p, q)-deformation of phonons, the Matsubara functions are changed both in the strength and the pole structure. Some fermionic bound states will appear via a hidden interaction between “free” ( p, q)-deformed phonons.

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