Glassy features in 1D polymer models: a path integral analysis
Marco Zoli · Unicam Scientific Publications (University of Camerino) · 2003
The SSH Hamiltonian offers the fundamental framework for theoretical analysis in polymer physics. After mapping the electron-phonon interacting system onto the time scale we apply the path integral formalism to the transformed SSH model to derive the full partition function of the one dimensional system. First, we study the anharmonic perturbing effects due to a time averaged electron path on the phonon subsystem deriving the relevant temperature dependent cumulant corrections to the harmonic partition function and free energy. Then, we compute the range of the electronic correlations induced by the oscillators bath. Finally, we show that the heat capacity over temperature ratio exhibits an upturn at low temperatures which is a peculiar feature of the glassy state.