Effect of Quantum Fluctuations on the Peierls Instability: A Monte Carlo Study

Jorge E. Hirsch and Eduardo Fradkin
Phys. Rev. Lett. 49, 402 – Published 9 August 1982
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Abstract

The effect of quantum fluctuations of the phonon field on the ground-state character of one-dimensional electron-phonon systems is studied with a numerical simulation technique. Two different electron-phonon models are studied, both for spinless and spin-½ electrons, in the half-filled-band case. In both models, it is found that in the spinless case quantum fluctuations destroy the long-range dimerization order for small electron-phonon coupling constant λ. For the spin-½ case, the results are consistent with the Peierls transition occurring at λ=0.

  • Received 28 April 1982

DOI:https://doi.org/10.1103/PhysRevLett.49.402

©1982 American Physical Society

Authors & Affiliations

Jorge E. Hirsch

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

Eduardo Fradkin

  • Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

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Vol. 49, Iss. 6 — 9 August 1982

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