Particle Path Correlations in a Phonon Bath

Details Particle Path Correlations in a Phonon Bath Particle Path Correlations in a Phonon Bath

2003-08-07

arxiv.org/abs/cond-mat/0308132v1

Physics

Condensed Matter

Materials Science

To be published in J.Phys.:Condensed Matter

Scientific paper

10.1088/0953-8984/15/36/312

The path integral formalism is applied to derive the full partition function of a generalized Su-Schrieffer-Heeger Hamiltonian describing a particle motion in a bath of oscillators. The electronic correlations are computed versus temperature for some choices of oscillators energies. We study the perturbing effect of a time averaged particle path on the phonon subsystem deriving the relevant temperature dependent cumulant corrections to the harmonic partition function and free energy. The method has been applied to compute the total heat capacity up to room temeperature: a low temperature upturn in the heat capacity over temperature ratio points to a glassy like behavior ascribable to a time dependent electronic hopping with variable range in the linear chain.

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