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Universally Diverging Grüneisen Parameter and the Magnetocaloric Effect Close to Quantum Critical Points

Universally Diverging Grüneisen Parameter and the Magnetocaloric Effect Close to Quantum Critical Points

At a generic quantum critical point, the thermal expansion alpha is more singular than the specific heat c(p). Consequently, the "Grüneisen ratio," Gamma=alpha/c(p), diverges. When scaling applies, Gamma approximately T(-1/(nu z)) at the critical pressure p=p(c), providing a means to measure the scaling dimension of the most relevant operator that …