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Quantum Critical Matter and Phase Transitions Chapter 280 309 0.3 0.25 0.2 0.15 CeCu6–xAux Bôc B = 100 mT x= 0 x = 0.05 x = 0.1 x = 0.15 x = 0.2 x = 0.3 0.1 01234 T (K) Magnetic susceptibility, w1⁄4M/H, for various concentrations of CeCu6xAux in an easy axis magnetic field of 0.1 T. Note the NFL behavior at xc 1⁄4 0.1 and the antiferromagnetic peak for x1⁄40.3. According to von Lo€hneysen, H., 1996. Non-fermi-liquid behaviour in the heavy- fermion system. J. Phys. Condens. Matter 8 (48), 9689. Pressure can be used to “retune” the concentration behavior, see Fig. 7. This reversing behavior demonstrates that an increasing Au concentration expands the lattice, whereas pressure P compresses it. Such correspondence is limited to small concentrations and moderate hydrostatic pressures, it breaks down if x or P is too large. Nonetheless, the low temperature specific heat displayed in Fig. 7 established evidence for a QCP where the critical Au concentrations xc increases with pressure. Next, consider the all-important resistivity as shown in Fig. 9. At x1⁄40 initial FL behavior is observed, r1⁄4r0+AT2. The temperature dependence of the resistivity r becomes linear (r 1⁄4 r0 + A0 T) at the critical value xc 1⁄4 0.1, signaling NFL behavior. For x 1⁄4 0.15, we are already in the magneti- cally ordered phase, with a dubious suggestion of a “kink” in the resistivity at the spin ordering Ne`el temperature TN. Disturbingly, this magnetic ordering kink is not found at higher gold concentrations, instead there is an enormous increase in the residual resistivity. This transport-property effect clearly estab- lishes the large change in scattering rates with increasing doping, which are mainly related to the Fermi surface and band structures. Note that even at zero doping x1⁄40 there is a rather large residual resistivity! The SDW, as detected by neutron scattering (Schr€oder et al., 1994), is a most subtle form of magnetism and the tiny x-disorder is essential to tune it. The mysterious “Kondo hybridization” between the Ce 4f electrons and the conduction electrons compensate the moments, thereby diminish the Ruderman–Kittel–Kasuya–Yosida (RKKY) interaction resulting in this small moment itinerant SDW. FIG. 8 M/B (mB/T)PDF Image | HANDBOOK ON THE PHYSICS AND CHEMISTRY OF RARE EARTHS
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