Universally diverging Grueneisen parameter and the magnetocaloric effect close to quantum critical points

Details Universally diverging Grueneisen parameter and the magnetocaloric effect close to quantum critical points Universally diverging Grueneisen parameter and the magnetocaloric effect close to quantum critical points

2002-12-16

arxiv.org/abs/cond-mat/0212335v2

Phys. Rev. Lett. 91, 066404 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure; general discussion on how the Grueneisen exponent measures the scaling dimension of the most relevant opera

Scientific paper

10.1103/PhysRevLett.91.066404

At a generic quantum critical point, the thermal expansion $\alpha$ is more singular than the specific heat $c_p$. Consequently, the "Gr\"uneisen ratio'', $\GE=\alpha/c_p$, diverges. When scaling applies, $\GE \sim T^{-1/(\nu z)}$ at the critical pressure $p=p_c$, providing a means to measure the scaling dimension of the most relevant operator that pressure couples to; in the alternative limit $T\to0$ and $p \ne p_c$, $\GE \sim \frac{1}{p-p_c}$ with a prefactor that is, up to the molar volume, a simple {\it universal} combination of critical exponents. For a magnetic-field driven transition, similar relations hold for the magnetocaloric effect $(1/T)\partial T/\partial H|_S$. Finally, we determine the corrections to scaling in a class of metallic quantum critical points.

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