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Linear diamagnetism is predicted in the vortex-liquid phase of layeredsuperconductors at temperatures just below the mean-field phase transition onthe basis of a high-temperature analysis of the corresponding frustrated XYmodel. The diamagnetic susceptibility, and the Nernst signal by implication, isfound to vanish with temperature as (T_c0 - T)^3 in the vicinity of themeanfield transition at T_c0. Quantitative agreement with recent experimentalobservations of a diamagnetic signal in the vortex-liquid phase ofhigh-temperature superconductors is obtained.Comment: 8 pages, 3 figure

Anomalous Nernst effect in the vortex-liquid phase of high-temperature superconductors by layer decoupling