Abstract
Critical thermodynamics close to a metamagnetic quantum critical end point (QCEP) in a metal is discussed within the framework of spin-fluctuation theory. We analyze the effective potential for the Ising order parameter that is renormalized by spin fluctuations and acquires a characteristic temperature dependence. The resulting magnetic field, $H$, and temperature, $T$, dependence of the magnetization, specific heat, thermal expansion, magnetostriction, susceptibility, and Gr\"uneisen parameter are determined, and the crossover lines in the $(H,T)$ phase diagram are specified. We point out that the metamagnetic QCEP is intrinsically unstable with respect to a magnetoelastic coupling.
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