HANDBOOK ON THE PHYSICS AND CHEMISTRY OF RARE EARTHS

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HANDBOOK ON THE PHYSICS AND CHEMISTRY OF RARE EARTHS ( handbook-onphysics-and-chemistry-rare-earths )

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314 Handbook on the Physics and Chemistry of Rare Earths can already observe the precursor discrepancy in an upturn away from the C-W form. With increasing field the weak power-law behavior becomes noticeable, eg, at 0.05 T. However, at the lowest temperature there is a stron- ger increase in wac due to the nuclear contribution. The dc-magnetization divided by field, M/H, shows a similar upturn at the critical field Hc that becomes less strong, finally reaching a flat M/H(T) at 0.3 T (Tokiwa et al., 2009). Because a C-W analysis is invalid for this strongly correlated and fluctuating low-temperature regime, highly sophisticated analysis must be used to treat the data and extract physical conclusions (Abrahams and W€olfle, 2012). Since the Ne`el temperature and critical fields are so small it is most diffi- cult to perform microscopic measurements below TN and around Hc. There- fore most experimental probes at temperatures below 0.07 K are limited to transport or thermodynamic measurements. The Hall effect tuned with the two field directions has been examined in detail by Paschen et al. (2004), which results in the overall phase diagram in Fig. 13 (Gegenwart et al., 2008). The Hall coefficent RH shows a change at a “crossover” line T (H) that seems to extrapolate to a sudden jump in RH at zero temperature. Further experiments tracked the thermopower S(T, B) in the field and temperature region surrounding the QCP (Hartmann et al., 2010). Here, an agreeing cross- over feature, namely a change of sign, at the T (B) line was observed in S(B)/T. However, the general behavior of S(T, B)/T is rather complicated with significant scatter thereby preventing a full understanding. YbRh2Si2 10 T0 1 H0 0.1 FL 0.01 0.01 0.1 1 10 50 H (T) FIG. 13 Extended logT(K) vs logH(T) phase diagram of YbRh2Si2 as function of magnetic field (in-plane, easy) illustrating the QCP, AFM, NFL, and Lifshitz transition phases. Note the T line that is used to denote the Kondo breakdown scale, extracted from Hall measurements, and the TC line illustrating the formation of the HFL. According to Gegenwart, P., Si, Q., Steglich, F., 2008. Quantum criticality in heavy-fermion metals. Nat. Phys. 4 (3), 186-197. AF T* T (K)

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