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Magnetoelastic properties in field-induced magnetic ordered phases arestudied theoretically based on a Ginzburg-Landau theory. A critical field forthe field-induced ordered phase is obtained as a function of temperature andpressure, which determine the phase diagram. It is found that magnetic fielddependence of elastic constant decreases discontinuously at the critical field,Hc, and that it decreases linearly with field in the ordered phase (H>Hc). Wefound an Ehrenfest relation between the field dependence of the elasticconstant and the pressure dependence of critical field. Our theory provides thetheoretical form for magnetoelastic properties in field- and pressure-inducedordered phases.Comment: 7 pages, 3 figure

Ehrenfest Relations and Magnetoelastic Effects in Field-induced Ordered Phases