Grüneisen ratio at the Kondo breakdown quantum critical point

Abstract

We show that the scenario of multi-scale Kondo breakdown quantum critical point (QCP) gives rise to a divergent Grüneisen ratio with an anomalous exponent 0.7. In particular, we fit the experimental data of $YbR{h}_2(S{i}_{0.95}G{e}_{0.05}{)}_2$ for specific heat, thermal expansion, and Grüneisen ratio based on our simple analytic expressions. A reasonable agreement between the experiment and theory is found for the temperature range between 0.4 K and 10 K. We discuss how the Grüneisen ratio is a key measurement to discriminate between the Kondo breakdown and spin-density wave theories.

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