Abstract
In recent years tunneling centers have frequently been used to explain the unusual thermodynamic properties of disordered materials; in these approaches, however, the effect of the tunneling-phonon interaction is neglected. The present study considers the archetype model of phonon-assisted tunneling, which is well known from other areas of tunneling physics (quantum diffusion, etc.). It is shown that the full thermodynamic information can be rigorously extracted from a single Green function. An extended factorization procedure beyond Hartree-Fock is introduced, which is checked by sum rules as well as by exact Goldberger-Adams expansions. The phonon-modulated internal energy and specific heat are calculated for different power-law coupling setups.
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Junker, W., Wagner, M. Thermodynamics of phonon-modulated tunneling centers. J Stat Phys 56, 331–355 (1989). https://doi.org/10.1007/BF01044440
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DOI: https://doi.org/10.1007/BF01044440