Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields

Details Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields

2005-07-22

arxiv.org/abs/cond-mat/0507538v1

Physical Review B, 2005, Volume 72, Number 9, Article 094437 (6 pages)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages (4 figures included)

Scientific paper

10.1103/PhysRevB.72.094437

We consider the quantum spin-$s$ $XXZ$ Heisenberg antiferromagnet on the two- and three-dimensional pyrochlore lattices and examine a spin-Peierls mechanism of lowering the total energy by a lattice distortion in a high magnetic field. For the exact eigenstates consisting of several independent localized magnons in a ferromagnetic environment we show the existence of a spin-Peierls instability by rigorous analytical calculations. In addition we report on exact diagonalization data for finite two-dimensional pyrochlore lattices up to N=64 sites. We discuss a scenario of the field-tuned changes in the ground-state properties of the frustrated spin lattices due to the coupling between spin and lattice degrees of freedom.

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