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

Oleg Derzhko and Johannes Richter
Phys. Rev. B 72, 094437 – Published 30 September 2005

Abstract

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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  • Received 22 July 2005

DOI:https://doi.org/10.1103/PhysRevB.72.094437

©2005 American Physical Society

Authors & Affiliations

Oleg Derzhko1,2,3 and Johannes Richter2

  • 1Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 1 Svientsitskii Street, L’viv-11, 79011, Ukraine
  • 2Institut für Theoretische Physik, Universität Magdeburg, P.O. Box 4120, D-39016 Magdeburg, Germany
  • 3National University “Lvivska Politechnika,” 12 S. Bandera Street, L’viv, 79013, Ukraine

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Issue

Vol. 72, Iss. 9 — 1 September 2005

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