Non-trivial critical behavior at the magnetic transitions: A case study of Sm$_7$Pd$_3$
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912796242870272 |
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| author | Kumar, Ajay Biswas, Anis Mudryk, Y. |
| author_facet | Kumar, Ajay Biswas, Anis Mudryk, Y. |
| contents | We present a comprehensive analysis of the critical behavior of Sm$_7$Pd$_3$ in the vicinity of its second-order magnetoelastic transition at $T_ {\rm c} = 173$ K. The critical exponents (CEs) $β$ and $γ$, determined using both the standard convergence procedure and the average normalized slope (ANS) method, diverge at $T_{\rm c}$: a characteristic typically associated with first-order transitions. Notably, none of the established universality classes satisfactorily describe the critical behavior of Sm$_7$Pd$_3$, and we discuss the possible origins of this deviation in the context of the strong spin-lattice coupling intrinsic to the sample. We emphasize the importance of accurately selecting the critical temperature and magnetic field ranges to ensure robust critical behavior analysis and propose a quantitative approach to assess the reliability of the extracted CEs. Additionally, we demonstrate that in the ANS method, the critical exponents $β$ and $γ$ should be calculated separately using data for $T \leqslant T_{\rm c}$ and $T \geqslant T_{\rm c}$, respectively. Our findings underscore the need for a revised theoretical framework to accurately describe second-order magnetoelastic transitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09838 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-trivial critical behavior at the magnetic transitions: A case study of Sm$_7$Pd$_3$ Kumar, Ajay Biswas, Anis Mudryk, Y. Applied Physics We present a comprehensive analysis of the critical behavior of Sm$_7$Pd$_3$ in the vicinity of its second-order magnetoelastic transition at $T_ {\rm c} = 173$ K. The critical exponents (CEs) $β$ and $γ$, determined using both the standard convergence procedure and the average normalized slope (ANS) method, diverge at $T_{\rm c}$: a characteristic typically associated with first-order transitions. Notably, none of the established universality classes satisfactorily describe the critical behavior of Sm$_7$Pd$_3$, and we discuss the possible origins of this deviation in the context of the strong spin-lattice coupling intrinsic to the sample. We emphasize the importance of accurately selecting the critical temperature and magnetic field ranges to ensure robust critical behavior analysis and propose a quantitative approach to assess the reliability of the extracted CEs. Additionally, we demonstrate that in the ANS method, the critical exponents $β$ and $γ$ should be calculated separately using data for $T \leqslant T_{\rm c}$ and $T \geqslant T_{\rm c}$, respectively. Our findings underscore the need for a revised theoretical framework to accurately describe second-order magnetoelastic transitions. |
| title | Non-trivial critical behavior at the magnetic transitions: A case study of Sm$_7$Pd$_3$ |
| topic | Applied Physics |
| url | https://arxiv.org/abs/2508.09838 |