Peierls Dimerization with Non-Adiabatic Spin-Phonon Coupling

Details Peierls Dimerization with Non-Adiabatic Spin-Phonon Coupling Peierls Dimerization with Non-Adiabatic Spin-Phonon Coupling

1998-04-07

arxiv.org/abs/cond-mat/9804085v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.81.3956

We study the magnetic properties of a frustrated Heisenberg spin chain with a dynamic spin-phonon interaction. By Lanczos diagonalization, preserving the full lattice dynamics, we explore the non-adiabatic regime with phonon frequencies comparable to the exchange coupling energy which is e.g. the relevant limit for the spin-Peierls compound $CuGeO_3$. When compared to the static limit of an alternating spin chain the magnetic properties are strongly renormalized due to the coupled dynamics of spin and lattice degrees of freedom. The magnitude of the spin triplet excitation gap changes from a strong to a weak dimerization dependence with increasing phonon frequencies implying the necessity to include dynamic effects in an attempt for a quantitative description of the spin-Peierls state.

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