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Quantum lattice fluctuations in a frustrated Heisenberg spin-Peierls chain

1999/01/25 by Alexander Weiße, A. Weisse, Gerhard Wellein +3 · 10 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.60.6566

published as Phys. Rev. B 60, 6566 (1999) · 9 pages, 7 figures included, submitted to Phys. Rev. B

arxiv created 1999/01/25 · openalex publication_date 1999/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

As a simple model for spin-Peierls systems we study a frustrated Heisenberg chain coupled to optical phonons. In view of the anorganic spin-Peierls compound CuGeO3 we consider two different mechanisms of spin-phonon coupling. Combining variational concepts in the adiabatic regime and perturbation theory in the antiadiabatic regime we derive effective spin Hamiltonians which cover the dynamical effect of phonons in an approximate way. Ground-state phase diagrams of these models are determined, and the effect of frustration is discussed. Comparing the properties of the ground state and low-lying excitations with exact diagonalization data for the full quantum spin-phonon models, good agreement is found especially in the antiadiabatic regime.

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