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

Lijun Zhu, Markus Garst, Achim Rosch, and Qimiao Si
Phys. Rev. Lett. 91, 066404 – Published 5 August 2003

Abstract

At a generic quantum critical point, the thermal expansion α is more singular than the specific heat cp. Consequently, the “Grüneisen ratio,” Γ=α/cp, diverges. When scaling applies, ΓT1/(νz) at the critical pressure p=pc, providing a means to measure the scaling dimension of the most relevant operator that pressure couples to; in the alternative limit T0 and ppc, Γ1/(ppc) with a prefactor that is, up to the molar volume, a simple universal combination of critical exponents. For a magnetic-field driven transition, similar relations hold for the magnetocaloric effect (1/T)T/H|S. Finally, we determine the corrections to scaling in a class of metallic quantum critical points.

  • Figure
  • Received 19 December 2002

DOI:https://doi.org/10.1103/PhysRevLett.91.066404

©2003 American Physical Society

Authors & Affiliations

Lijun Zhu1, Markus Garst2, Achim Rosch2, and Qimiao Si1

  • 1Department of Physics & Astronomy, Rice University, Houston, Texas 77005-1892, USA
  • 2Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, D-76128 Karlsruhe, Germany

See Also

Divergence of the Grüneisen Ratio at Quantum Critical Points in Heavy Fermion Metals

R. Küchler, N. Oeschler, P. Gegenwart, T. Cichorek, K. Neumaier, O. Tegus, C. Geibel, J. A. Mydosh, F. Steglich, L. Zhu, and Q. Si
Phys. Rev. Lett. 91, 066405 (2003)

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Vol. 91, Iss. 6 — 8 August 2003

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