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Modified Heisenberg model for the zig-zag structure in multiferroic RMn<sub>2</sub>O<sub>5</sub>

Modified Heisenberg model for the zig-zag structure in multiferroic RMn2O5

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BAHOOSH, Safa Golrokh, Julia M. WESSELINOWA, Steffen TRIMPER, 2015. Modified Heisenberg model for the zig-zag structure in multiferroic RMn2O5. In: Journal of Applied Physics. 118(8), 084102. ISSN 0021-8979. eISSN 1089-7550

@article{Bahoosh2015Modif-32670, title={Modified Heisenberg model for the zig-zag structure in multiferroic RMn2O5}, year={2015}, doi={10.1063/1.4929646}, number={8}, volume={118}, issn={0021-8979}, journal={Journal of Applied Physics}, author={Bahoosh, Safa Golrokh and Wesselinowa, Julia M. and Trimper, Steffen}, note={Article Number: 084102} }

The class of RMn<sub>2</sub>O<sub>5</sub> (R = Ho, Tb, Y, Eu) compounds offers multiferroic properties where the refined magnetic zig-zag order breaks the inversion symmetry. Varying the temperature, the system undergoes a magnetic and a subsequent ferroelectric phase transition where the ferroelectricity is magnetically induced. We propose a modified anisotropic Heisenberg model that can be used as a tractable analytical model studying the properties of those antiferromagnetic zig-zag spin chains. Based on a finite temperature Green's function method, it is shown that the polarization is induced solely by different exchange couplings of the two different Mn<sup>4+</sup> and Mn<sup>3+</sup> magnetic ions. We calculate the excitation energy of the spin system for finite temperatures, which for its part determines the temperature dependent magnetization and polarization. The ferroelectric phase transition is manifested as a kink in the excitation energy. The variation of the polarization by an external magnetic field depends strongly on the direction of that field. Whereas, the polarization in b-direction increases with an external magnetic field as well in b-direction it can be switched for strong fields in a-direction. The results based on that modified Heisenberg model are in qualitative agreement with experimental data. Wesselinowa, Julia M. Modified Heisenberg model for the zig-zag structure in multiferroic RMn<sub>2</sub>O<sub>5</sub> 2015 Wesselinowa, Julia M. 2016-01-21T12:48:21Z Trimper, Steffen Bahoosh, Safa Golrokh Bahoosh, Safa Golrokh eng 2016-01-21T12:48:21Z Trimper, Steffen

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