Abstract

By means of specific heat and magnetic susceptibility measurements we investigated the magnetic compounds of various crystal structure, CuWO 4 , LiCuVO 4 , CuSb 2 O 6 , CuNb 2 O 6 and CuBi 2 O 4 . All of these cuprates revealed strong one-dimensional (1D) correlations persisting up to very high temperatures which are well explained by the S =1/2 Heisenberg antiferromagnetic linear-chain model. At lower temperatures they showed various long-range magnetic ordering except for CuNb 2 O 6 . In particular, we observed a rather unusual transition at 2.4 K for LiCuVO 4 which is conjectured to be a transition to the S =1/2 quadratic Ising antiferromagnet, thereby demonstrating a dimensional cross-over of correlations from 1D to 2D. The magnetic susceptibility and specific heat exhibit a critical point and a logarithmic divergence at 2.4 K, respectively, as predicted by theory. We herein report the experimental results and the preliminary analyses of these low-dimensional cuprates.

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