From the Shastry-Sutherland model to the $J_1$-$J_2$ Heisenberg model
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929606140887040 |
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| author | Qian, Xiangjian Lv, Rongyi Lee, Jong Yeon Qin, Mingpu |
| author_facet | Qian, Xiangjian Lv, Rongyi Lee, Jong Yeon Qin, Mingpu |
| contents | We propose a generalized Shastry-Sutherland model which bridges the Shastry-Sutherland model and the $J_1$-$J_2$ Heisenberg model. By employing large scale Density Matrix Renormalization Group and Fully Augmented Matrix Product State calculations, combined with careful finite-size scaling, we find the phase transition between the plaquette valence bond state (PVBS) and Neel anti-ferromagnetic (AFM) phase in the pure Shastry-Sutherland model is a weak first one. This result indicates the existence of an exotic tri-critical point in the PVBS to AFM transition line in the phase diagram, as the transition in the $J_1$-$J_2$ Heisenberg model was previously determined to be continuous. We determine the location of the tri-critical point in the phase diagram at which first-order transition turns to continuous. Our generalized Shastry-Sutherland model provides not only a valuable platform to explore exotic phases and phase transitions but also more realistic description of Shastry-Sutherland materials like SrCu$_2$(BO$_3$)$_2$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_17452 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From the Shastry-Sutherland model to the $J_1$-$J_2$ Heisenberg model Qian, Xiangjian Lv, Rongyi Lee, Jong Yeon Qin, Mingpu Strongly Correlated Electrons Quantum Physics We propose a generalized Shastry-Sutherland model which bridges the Shastry-Sutherland model and the $J_1$-$J_2$ Heisenberg model. By employing large scale Density Matrix Renormalization Group and Fully Augmented Matrix Product State calculations, combined with careful finite-size scaling, we find the phase transition between the plaquette valence bond state (PVBS) and Neel anti-ferromagnetic (AFM) phase in the pure Shastry-Sutherland model is a weak first one. This result indicates the existence of an exotic tri-critical point in the PVBS to AFM transition line in the phase diagram, as the transition in the $J_1$-$J_2$ Heisenberg model was previously determined to be continuous. We determine the location of the tri-critical point in the phase diagram at which first-order transition turns to continuous. Our generalized Shastry-Sutherland model provides not only a valuable platform to explore exotic phases and phase transitions but also more realistic description of Shastry-Sutherland materials like SrCu$_2$(BO$_3$)$_2$. |
| title | From the Shastry-Sutherland model to the $J_1$-$J_2$ Heisenberg model |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2411.17452 |