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Thermodynamic behaviour of magnetocaloric quantities in spin-1/2 Ising square trilayer

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Abstract

A spin-1/2, Ising trilayered ferrimagnetic system on square Bravais lattice is studied, employing Monte-Carlo simulation with the single spin-flip Metropolis algorithm. The bulk of such a system is formed by three layers, each of which is composed entirely either by A or B type of atoms, resulting in two distinct compositions: ABA and AAB and two different types of magnetic interactions: ferromagnetic between like atoms and antiferromagnetic between unlike atoms. For such systems, Inverse Absolute of Reduced Residual Magnetisation is the absolute value of the ratio of the extremum of the magnetisation in between compensation and critical points and the saturation magnetisation. Variation of relative interaction strengths in the Hamiltonian, for a range of values, leads to the shift of compensation point and critical point and changes in the magnitude of inverse absolute of reduced residual magnetisation. Probable mathematical forms of dependences of the inverse absolute of reduced residual magnetisation and temperature interval between the critical and compensation temperatures on controlling parameters are proposed in the absence of applied magnetic field and have obtained phase diagrams for both types of configurations from these relations. This alternative description of the simulated systems may help technologists design magnetocaloric materials according to desired characteristics.

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Data availability statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data, that support the findings of this study, are available from the author upon reasonable request.]

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Acknowledgements

The author appreciates the financial assistance provided in the form of a research fellowship by University Grants Commission, India and gratefully acknowledges Prof. Muktish Acharyya for his comments and critical suggestions. The author also extends his thanks to Tamaghna Maitra and Sangita Bera for technical assistance. Several insightful comments and suggestions made by the anonymous referee are also acknowledged.

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Authors and Affiliations

  1. Department of Physics, Presidency University, 86/1 College Street, Kolkata, 700073, India

    Soham Chandra

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Correspondence to Soham Chandra.

Appendix

Appendix

1.1 A1: Tables for different coefficients of AAB configuration

1.2 A2: Tables for phase diagram of AAB configuration

1.3 A3: Tables for different coefficients of ABA configuration

1.4 A4: Tables for phase diagram of ABA configuration

Table 12 Maximum values of \(J_{AA}/J_{BB}\) for a fixed \(J_{AB}/J_{BB}\) for which the compensation effect just ceases, from the fitted formula of variation of \(\Delta T\) of ABA configuration
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Chandra, S. Thermodynamic behaviour of magnetocaloric quantities in spin-1/2 Ising square trilayer. Eur. Phys. J. B 94, 13 (2021). https://doi.org/10.1140/epjb/s10051-020-00031-5

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