Topologically nontrivial $1/3$-magnetization plateau state in a spin-1/2 trimer chain
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| Main Authors: | , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909241482149888 |
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| author | Han, Y. Y. Yu, B. C. Du, Z. Ling, L. S. Zhang, L. Tong, W. Xi, C. Y. Zhang, J. L. Shang, T. Pi, Li Ma, Long |
| author_facet | Han, Y. Y. Yu, B. C. Du, Z. Ling, L. S. Zhang, L. Tong, W. Xi, C. Y. Zhang, J. L. Shang, T. Pi, Li Ma, Long |
| contents | Topologically nontrivial Haldane phase is theoretically proposed to be realized in the 1/3-magnetization ($M$) plateau of spin-1/2 trimer systems. However, the spin excitation gap, typical characteristic of Haldane phase, is not yet experimentally verified. Here, we report the nuclear magnetic resonance investigations into the low-energy spin dynamics in the $S=1/2$ spin-trimer antiferromagnetic chain compound Na$_2$Cu$_3$Ge$_{4-x}$Si$_{x}$O$_{12}$ ($x=0, 0.1\sim1.5$). In the parent compound ($x=0$), the spin-lattice relaxation rate (1/$T_1$) shows significantly different temperature dependence when the external magnetic field is increased above the critical field of $μ_0$$H_{c}$ = 29 T. The spin excitation gap is evidenced from the thermally activated behavior of $1/T_1(T)$ in the 1/3-$M$ plateau state. By substituting Ge$^{4+}$ with Si$^{4+}$, the critical field for the 1/3-$M$ plateau significantly decreases, e.g. $μ_0H_{c}=17$ T in $x=1.0$ samples, which results from the suppressed inter-trimer coupling $J_2$. The gapped spin excitation is confirmed again above 17 T, whose size shows temperature-dependent behavior for $μ_0H\geq25.72$ T. These observations provide further insights into the Haldane physics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_03581 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topologically nontrivial $1/3$-magnetization plateau state in a spin-1/2 trimer chain Han, Y. Y. Yu, B. C. Du, Z. Ling, L. S. Zhang, L. Tong, W. Xi, C. Y. Zhang, J. L. Shang, T. Pi, Li Ma, Long Strongly Correlated Electrons Topologically nontrivial Haldane phase is theoretically proposed to be realized in the 1/3-magnetization ($M$) plateau of spin-1/2 trimer systems. However, the spin excitation gap, typical characteristic of Haldane phase, is not yet experimentally verified. Here, we report the nuclear magnetic resonance investigations into the low-energy spin dynamics in the $S=1/2$ spin-trimer antiferromagnetic chain compound Na$_2$Cu$_3$Ge$_{4-x}$Si$_{x}$O$_{12}$ ($x=0, 0.1\sim1.5$). In the parent compound ($x=0$), the spin-lattice relaxation rate (1/$T_1$) shows significantly different temperature dependence when the external magnetic field is increased above the critical field of $μ_0$$H_{c}$ = 29 T. The spin excitation gap is evidenced from the thermally activated behavior of $1/T_1(T)$ in the 1/3-$M$ plateau state. By substituting Ge$^{4+}$ with Si$^{4+}$, the critical field for the 1/3-$M$ plateau significantly decreases, e.g. $μ_0H_{c}=17$ T in $x=1.0$ samples, which results from the suppressed inter-trimer coupling $J_2$. The gapped spin excitation is confirmed again above 17 T, whose size shows temperature-dependent behavior for $μ_0H\geq25.72$ T. These observations provide further insights into the Haldane physics. |
| title | Topologically nontrivial $1/3$-magnetization plateau state in a spin-1/2 trimer chain |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2407.03581 |