Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states

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Main Authors: Corboz, Philippe, Zhang, Yining, Ponsioen, Boris, Mila, Frédéric
Format: Preprint
Published: 2025
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author Corboz, Philippe
Zhang, Yining
Ponsioen, Boris
Mila, Frédéric
author_facet Corboz, Philippe
Zhang, Yining
Ponsioen, Boris
Mila, Frédéric
contents The Shastry-Sutherland model is an effective model of the layered material SrCu$_2$(BO$_3$)$_2$, which exhibits an extremely rich phase diagram as a function of pressure and magnetic field. Motivated by the recent controversy regarding its phase diagram at zero magnetic field, we perform large-scale simulations based on infinite projected entangled-pair states (iPEPS), a two-dimensional tensor network ansatz to represent the ground state directly in the thermodynamic limit. By employing the latest optimization techniques, we obtain variational states with lower energy than previous results obtained from other methods. Using systematic extrapolations to the exact infinite bond dimension limit, our simulations reveal a narrow quantum spin liquid phase between the plaquette and antiferromagnetic phases in the range $0.785(5) \le J'/J \le 0.82(1)$.
format Preprint
id arxiv_https___arxiv_org_abs_2502_14091
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states
Corboz, Philippe
Zhang, Yining
Ponsioen, Boris
Mila, Frédéric
Strongly Correlated Electrons
The Shastry-Sutherland model is an effective model of the layered material SrCu$_2$(BO$_3$)$_2$, which exhibits an extremely rich phase diagram as a function of pressure and magnetic field. Motivated by the recent controversy regarding its phase diagram at zero magnetic field, we perform large-scale simulations based on infinite projected entangled-pair states (iPEPS), a two-dimensional tensor network ansatz to represent the ground state directly in the thermodynamic limit. By employing the latest optimization techniques, we obtain variational states with lower energy than previous results obtained from other methods. Using systematic extrapolations to the exact infinite bond dimension limit, our simulations reveal a narrow quantum spin liquid phase between the plaquette and antiferromagnetic phases in the range $0.785(5) \le J'/J \le 0.82(1)$.
title Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2502.14091