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Onsager Reaction Field Theory for Two-Dimensional Spatially Anisotropic Heisenberg Ferromagnet with the x-Axis Long-Range Interaction

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Abstract

The competition between the \(x\)-axis long-range interaction (which decays as \(J/{{r}^{p}}\) with the distance \(r\)) and the \(y\)-axis nearest-neighbor interaction \(\tilde {J}\) is studied for the two-dimensional spatially anisotropic Heisenberg ferromagnet within the frame of Onsager reaction field theory. For \(\alpha = \tilde {J}/J > 0\), there exists the phase transition at finite temperatures in the region \(1 < p < 3\); No finite-temperature transitions exist for \(p \geqslant 3\). It is found that the interplay between spatially anisotropic interactions has an influence on the thermodynamic quantities (such as spin susceptibility, correlation functions and correlation length) of the system. The crossover from effective one- to two-dimensional behavior is found at \(\alpha = {{\alpha }_{c}}(p)\), where \({{\alpha }_{c}}(p)\) is a decreasing function of the long-range parameter \(p\). For \(\alpha = 0.2\) and \(p = 1.655\), and taking \(J = 57.7K\), the critical temperature and susceptibility obtained by Onsager reaction field theory are in agreement with the results from the experimental studies of the perovskites \({\text{P}}{{{\text{r}}}_{{{\text{0}}{\text{.5}}}}}{{{\text{S}}}_{{{\text{r0}}{\text{.5}}}}}{\text{Mn}}{{{\text{O}}}_{{\text{3}}}}\).

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This work is supported by the Science and Technology Program of Guangzhou, China (202002030274).

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  1. Department of Physics, School of Physics and Materials Sciences, Guangzhou University, 510006, Guangzhou, China

    Zepeng Zhou, Yuan Chen & Wenan Li

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Zepeng Zhou, Chen, Y. & Li, W. Onsager Reaction Field Theory for Two-Dimensional Spatially Anisotropic Heisenberg Ferromagnet with the x-Axis Long-Range Interaction. Phys. Metals Metallogr. 124, 1716–1732 (2023). https://doi.org/10.1134/S0031918X23600744

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