Dynamic correlations of the classical and quantum Toda lattices

A. Cuccoli, M. Spicci, V. Tognetti, and R. Vaia
Phys. Rev. B 47, 7859 – Published 1 April 1993
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Abstract

The dynamic correlations of classical and quantum Toda lattices are approached by moment expansion. For the classical model, the moments of the spectral shape of the displacement-displacement correlation function are exactly calculated up to the eighth one, while, for the quantum system, their evaluation is limited to the sixth one, using the effective-potential method in low-coupling approximation. The spectral shape is calculated using the continued-fraction expansion. The relevance of quantum effects is clearly shown, in dependence on temperature and quantum coupling. At all wave vectors, the spectral shape presents a single-peak structure, both in the classical and in the quantum regime.

  • Received 22 September 1992

DOI:https://doi.org/10.1103/PhysRevB.47.7859

©1993 American Physical Society

Authors & Affiliations

A. Cuccoli, M. Spicci, and V. Tognetti

  • Dipartimento di Fisica dell’Università di Firenze, Largo E. Fermi 2, I-50125 Firenze, Italy

R. Vaia

  • Istituto di Elettronica Quantistica del Consiglio Nazionale delle Ricerche, Via Panciatichi 56/30, I-50127 Firenze, Italy

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Vol. 47, Iss. 13 — 1 April 1993

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