Journal
PHYSICAL REVIEW B
Volume 86, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.86.014434
Keywords
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Funding
- DOD ARO [W911NF0910530]
- NSF [DMR-1205469, DMR-0542026, DMR-1005751]
- LA-SiGMA program [EPS-1003897]
- National Natural Science Foundation of China [11004198, 11174291]
- Youth Innovation Promotion Association, Chinese Academy of Sciences
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(Sr1-xCax)(3)Ru2O7 is characterized by complex magnetic states, spanning from a long-range antiferromagnetically ordered state over an unusual heavy-mass nearly ferromagnetic (NFM) state to an itinerant metamagnetic (IMM) state. The NFM state, which occurs in the 0.4 > x > 0.08 composition range, freezes into a cluster spin glass (CSG) phase at low temperatures [Z. Qu et al., Phys. Rev. B 78, 180407(R) (2008)]. In this article, we present the scaling analyses of magnetization and the specific heat for (Sr1-xCax)(3)Ru2O7 in the 0.4 > x > 0.08 composition range. We find that in a temperature region immediately above the spin freezing temperature T-f, the isothermal magnetization M(H) and the temperature dependence of electronic specific heat C-e(T) exhibit anomalous power-law singularities; both quantities are controlled by a single exponent. The temperature dependence of magnetization M(T) also displays a power-law behavior, but its exponent differs remarkably from that derived from M(H) and C-e(T). Our analyses further reveal that the magnetization data M(H, T) obey a phenomenological scaling law of M(H,T) proportional to H alpha f (H/T delta) in a temperature region between the spin freezing temperature T-f and the scaling temperature T-scaling. T-scaling systematically decreases with the decease of Ca content. This scaling law breaks down near the critical concentration x = 0.1 where a CSG-to-IMM phase transition occurs. We discussed these behaviors in term of the effect of disorder on the quantum phase transition.
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