Quantum lattice fluctuations in a frustrated Heisenberg spin-Peierls chain

Details Quantum lattice fluctuations in a frustrated Heisenberg spin-Peierls chain Quantum lattice fluctuations in a frustrated Heisenberg spin-Peierls chain

1999-01-25

arxiv.org/abs/cond-mat/9901262v1

Phys. Rev. B 60, 6566 (1999)

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 7 figures included, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.60.6566

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 anti-adiabatic 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 of low-lying excitations with exact diagonalization data for the full quantum spin phonon models, good agreement is found especially in the anti-adiabatic regime.

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