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Motivated by puzzling characteristics of spin-glass transitions widelyobserved in pyrochlore-based frustrated materials, we investigate effects ofcoupling to local lattice distortions in a bond-disordered antiferromagnet onthe pyrochlore lattice by extensive Monte Carlo simulations. We show that thespin-glass transition temperature $\TSG$ is largely enhanced by thespin-lattice coupling, and furthermore, becomes almost independent of $\Delta$in a wide range of the disorder strength $\Delta$. The critical property of thespin glass transition is indistinguishable from that of the canonicalHeisenberg spin glass in the entire range of $\Delta$. These peculiar behaviorsare ascribed to a modification of the degenerate manifold from continuous tosemidiscrete one by the spin-lattice coupling.

Spin-glass transition in bond-disordered Heisenberg antiferromagnets coupled with local lattice distortions on a pyrochlore lattice