We consider the behavior of the Grüneisen parameter, the ratio between thermal expansion and specific heat, at pressure-tuned infinite-randomness quantum-critical points and in the associated quantum Griffiths phases. We find that the Grüneisen parameter diverges as ln (T0 /T) with vanishing temperature T in the quantum Griffiths phases. at the infinite-randomness critical point itself, the Grüneisen parameter behaves as [ln (T0 /T)]1+1/ (νψ) where ν and ψ are the correlation length and tunneling exponents. Analogous results hold for the magnetocaloric effect at magnetic-field-tuned transitions. We contrast clean and dirty systems, we discuss subtle differences between Ising and Heisenberg symmetries, and we relate our findings to recent experiments on CePd1-xRhx.
T. Vojta, "Thermal Expansion and Grüneisen Parameter in Quantum Griffiths Phases," Physical Review B - Condensed Matter and Materials Physics., American Physical Society (APS), Jul 2009.
The definitive version is available at https://doi.org/10.1103/PhysRevB.80.041101
National Science Foundation (U.S.)
University of Missouri Research Board
Keywords and Phrases
Grüneisen Parameter; Quantum Griffiths Phases; Thermal Expansion
Article - Journal
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