Quantum Critical Behavior in Ce-Au-Al Quasicrystal Approximants

Rare-earth element containing aperiodic quasicrystals and their related periodic approximant crystals can exhibit non-trivial physical properties at low temperatures. Here, we investigate the 1/1 and 2/1 approximant crystal phases of the Ce-Au-Al system by studying the ac-susceptibility and specific heat at low temperatures and in magnetic fields up to 12 T. We find that these systems display signs of quantum critical fluctuations similar to the observations in other claimed quantum critical systems, including the related Yb-Au-Al quasicrystal. In particular, the ac-susceptibility at low temperatures shows a diverging behavior $\chi \propto 1/T$ as the temperature decreases. The high-temperature Curie-Weiss fit yields an effective magnetic moment of approximately 2.54$\mu_{\mathrm{B}}$ per Ce for both approximant systems, which is reduced to $\sim$2.0$\mu_{\mathrm{B}}$ at temperatures below 10 K. The low-temperature specific heat is dominated by a Schottky anomaly originating from a splitting of the Ce$^{3+}$ ground state Kramers doublet.