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Entropy Constraints in the Ground State Formation of Magnetically Frustrated Systems

Role of Nernst Postulate in Real Systems

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Abstract

A systematic modification of the entropy trajectory (\(S_\mathrm{m}(T)\)) is observed at very low temperature in magnetically frustrated systems as a consequence of the constraint (\(S_\mathrm{m}\ge 0\)) imposed by the Nernst postulate. The lack of magnetic order allows to explore and compare new thermodynamic properties by tracing the specific heat (\(C_\mathrm{m}\)) behavior down to the sub-Kelvin range. Some of the most relevant findings are: (i) a common \(C_\mathrm{m}/T|_{T\rightarrow 0} \approx 7\) J/mol K\(^2\) ‘plateau’ in at least five Yb-based very-heavy-fermions (VHF) compounds; (ii) quantitative and qualitative differences between VHF and standard non-Fermi-liquids; (iii) entropy bottlenecks governing the change of \(S_\mathrm{m}(T)\) trajectories in a continuous transition into alternative ground states. A comparative analysis of \(S_\mathrm{m}(T\rightarrow 0)\) dependencies is performed in compounds suitable for adiabatic demagnetization processes according to their \(\partial ^2 S_\mathrm{m}/\partial T^2\) derivatives.

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Notes

  1. Notice that CePd\(_{0.35}\)Rh\(_{0.65}\), as an example of QC behavior, is included to show that the change in the \(S_m(T)\) trajectory is due to thermodynamic constraints, independently of the cause of the lack of magnetic order

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Acknowledgements

The author is grateful to I. Curlik, M. Giovannini, T. Gruner, M. Deppe, E. Bauer, H. Michor, M. Reiffers, E.-W. Scheidt, A. Strydom and I. Zeiringer for allowing to access to original experimental results. This work was partially supported by Projects: PIP-2014 Nr. 112-2013-0100576 of CONICET and SECyT 06/C520 of Univ. of Cuyo (Arg.).

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  1. Low Temperature Division, CAB-CNEA and CONICET, 8400, San Carlos de Bariloche, Argentina

    Julian G. Sereni

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Sereni, J.G. Entropy Constraints in the Ground State Formation of Magnetically Frustrated Systems. J Low Temp Phys 190, 1–19 (2018). https://doi.org/10.1007/s10909-017-1828-5

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