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Divergence of the Grüneisen Parameter and Magnetocaloric Effect at Heavy Fermion Quantum Critical Points

Abstract

At any pressure sensitive quantum critical point (QCP) the thermal expansion is more singular than the specific heat leading to a divergence of the Grüneisen parameter. For a magnetic field sensitive QCP, the complementary property is the magnetic Grüneisen ratio which equals the magnetocaloric effect. Here we use both properties to investigate magnetic QCPs in different heavy fermion (HF) metals starting from CeNi2Ge2. The influence of dimensionality on quantum criticality is addressed by the comparison of cubic CeIn3−x Sn x with layered CeMIn5−x Sn x (M = Co, Rh) systems, in which Sn doping both acts as tuning parameter and introduces slight disorder. Near the field-tuned QCP in undoped CeCoIn5 a crossover scale T is discovered which separates 2D (at T>T ) from 3D (at T<T ) quantum criticality. Disorder, introduced by Sn-doping, is found to increase T , stabilizing 3D behavior. We also compare the magnetic Grüneisen ratio in the approach of the field-tuned QCP in YbRh2Si2 with zero-field Grüneisen parameter data on YbRh2(Si1−x Ge x )2 (x=0, x=0.05). Both properties indicate quantum criticality incompatible with the predictions of the itinerant theory.

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Gegenwart, P., Tokiwa, Y., Donath, J.G. et al. Divergence of the Grüneisen Parameter and Magnetocaloric Effect at Heavy Fermion Quantum Critical Points. J Low Temp Phys 161, 117–133 (2010). https://doi.org/10.1007/s10909-010-0197-0

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Keywords

  • Quantum critical point
  • Heavy fermion systems