Spin dynamics in the antiferromagnetic Heisenberg model on a pyrochlore slab

Kenta Kimura, Satoru Nakatsuji, T. Kimura

Jong Jae Kim

P. H. Conlon, J. T. Chalker

We study the low temperature dynamics of the classical Heisenberg antiferromagnet with nearest neighbor interaction on the frustrated pyrochlore lattice. We present extensive results for the wave vector and frequency dependence of the dynamical structure factor, obtained from simulations of the precessional dynamics. We also construct a solvable stochastic model for dynamics with conserved magnetization, which accurately reproduces most features of the precessional results. Spin correlations relax at a rate independent of the wave vector and proportional to the temperature.

Roger Arthur Cowley, D. M. Tennant, T. G. Perring +2 more

Kazuki Uematsu, Hikaru Kawamura

We investigate the zero- and finite-temperature properties of the random-bond s=1/2 Heisenberg antiferromagnet on the pyrochlore lattice by the exact diagonalization and the Hams-de Raedt methods. We find that the randomness induces the gapless quantum spin liquid (QSL) state, the random-singlet state. Implications to recent experiments on the mixed-anion pyrochlore-lattice antiferromagnet Lu_{2}Mo_{2}O_{5}N_{2} exhibiting gapless QSL behaviors are discussed.

Konstantin S Soldatov, Konstantin Valentinovich Nefedev, Yukihiro Komura +1 more