From the Shastry-Sutherland model to the $J_1$-$J_2$ Heisenberg model

• URL: http://arxiv.org/abs/2411.17452v1
• Date: Tue, 26 Nov 2024 14:12:00 GMT
• Title: From the Shastry-Sutherland model to the $J_1$-$J_2$ Heisenberg model
• Authors: Xiangjian Qian, Rongyi Lv, Jong Yeon Lee, Mingpu Qin,
• Abstract summary: We propose a generalized Shastry-Sutherland model which bridges the Shastry-Sutherland model and the $J_1$-$J$ Heisenberg model. By employing large scale Density Matrix Renormalization Group and Fully Augmented Matrix Product State calculations, 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 transition line in the
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• Abstract: 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$_3$)$_2$.

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