Spin dynamics in the antiferromagnetic Heisenberg model on a pyrochlore slab

Unconventional magnetic states such as spin liquids and spin glasses continue to attract the interest of researchers in magnetism. Recently, considerable effort has been focused on understanding their dynamical signatures [1-2]. We present our study on deterministic spin precession dynamics using energy conserving Landau-Lifshitz equation on a geometrically frustrated magnet. The lattice constitutes of a triangular arrangement of bipyramids with classical antiferromagnetic Heisenberg interaction. Such a lattice structure is realized in frustrated SrCr₉Ga_12-9pO₁₉ [SCGO(p)] compounds [3]. Monte Carlo simulations are used to thermalize the system, which is then used as the initial state for the dynamical studies. We explore the temperature, wave vector and frequency dependence in the dynamical structure factor and the corresponding time dependent correlation functions of the model. Dynamics simulations is further used to estimate the extent to which transport of spin excitations in the lattice conform with phenomenological concept of spin diffusion.
[1]P. H. Conlon and J. T. Chalker Phys. Rev. Lett.102, 237206 (2009)
[2]M. Taillefumier, J. Robert, C. L. Henley, R. Moessner, and B. Canals Phys. Rev. B 90, 064419 (2014)
[3]T. Arimori and H. Kawamura J. Phys. Soc. Jpn. 70, 3695 (2001)