Variational study of the discrete Holstein model

A. La Magna and R. Pucci
Phys. Rev. B 53, 8449 – Published 1 April 1996
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Abstract

The Holstein model for the interaction between one particle and a large (∼100 sites) chain of oscillators has been treated through a numerical self-consistent procedure. The adopted variational state is a generalization of the most commonly used trial wave functions and the results are correct both in the weak and the strong-coupling limits. The comparison of our variational ground-state energy with the exact calculations on small clusters also supports the validity of the approach. Moreover, all the relevant physical quantities are analytical functions of the parameters. The appearance of a self-trapped state is discussed critically in connection with the changes of the dynamical condition of the system. The role of the quantum fluctuations of the lattice in the intermediate-coupling regime is emphasized by calculating the phonons wave functions. The application of the results to some physical systems is presented in the conclusion. © 1996 The American Physical Society.

  • Received 18 September 1995

DOI:https://doi.org/10.1103/PhysRevB.53.8449

©1996 American Physical Society

Authors & Affiliations

A. La Magna and R. Pucci

  • Dipartimento di Fisica, Universitá di Catania, Centro Siciliano di Fisica Nucleare e Struttura della Materia, Corso Italia 57, I-95129 Catania, Italy

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Issue

Vol. 53, Iss. 13 — 1 April 1996

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