Dimensional crossover of quantum critical behavior in CeCoIn${}_5$

Abstract

The nature of quantum criticality in CeCoIn${}_5$ is studied by low-temperature thermal expansion $\alpha (T)$. At the field-induced quantum critical point at H=5 T a crossover scale $T^{\star }\approx 0.3$ K is observed, separating $\alpha (T)/T\propto T^{-1}$ from a weaker $T^{-1/2}$ divergence. We ascribe this change to a crossover in the dimensionality of the critical fluctuations which may be coupled to a change from unconventional to conventional quantum criticality. Disorder, whose effect on quantum criticality is studied in CeCoIn${}_{5-x}$Sn${}_x$ ($0\le x\le 0.18$), shifts $T^{\star }$ towards higher temperatures.

4 pages, 5 figures

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