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Sign change of the Grüneisen parameter and magnetocaloric effect near quantum critical points

Markus Garst1 and Achim Rosch2

  • 1Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
  • 2Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany

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Phys. Rev. B 72, 205129 – Published 30 November, 2005

DOI: https://doi.org/10.1103/PhysRevB.72.205129

Abstract

We consider the Grüneisen parameter and the magnetocaloric effect near a pressure and magnetic field controlled quantum critical point, respectively. Generically, the Grüneisen parameter (and the thermal expansion) displays a characteristic sign change close to the quantum-critical point signaling an accumulation of entropy. If the quantum critical point is the endpoint of a line of finite temperature phase transitions, Tc∝(pc−p)Ψ, then we obtain for p<pc, (1) a characteristic increase Γ∼T−1∕(νz) of the Grüneisen parameter Γ for T>Tc, (2) a sign change in the Ginzburg regime of the classical transition, (3) possibly a peak at Tc, (4) a second increase Γ∼−T−1∕(νz) below Tc for systems above the upper critical dimension, and (5) a saturation of Γ∝1∕(pc−p). We argue that due to the characteristic divergencies and sign changes the thermal expansion, the Grüneisen parameter and magnetocaloric effect are excellent tools to detect and identify putative quantum critical points.

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Phys. Rev. B 72, 205129– Published 30 November, 2005
  • Received 8 July 2005

© 2005 American Physical Society

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