Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model

Abstract

Motivated by the novel phenomena observed in the layered material $\mathrm{SrC}{\mathrm{u}}_2(\mathrm{B}{\mathrm{O}}_3{)}_2$, the Shastry-Sutherland model (SSM) has been extensively studied as the minimal model for $\mathrm{SrC}{\mathrm{u}}_2(\mathrm{B}{\mathrm{O}}_3{)}_2$. However, the nature of its quantum phase transition from the plaquette valence-bond solid (PVBS) to antiferromagnetic (AFM) phase is under fierce debate, posing a challenge to understand the underlying quantum criticality. Via the state-of-the-art tensor network simulations, we study the ground state of the SSM on large-scale size up to $20\times 20$ sites. We identify the continuous transition nature accompanied by an emergent O(4) symmetry between the PVBS and AFM phase, which strongly suggests a deconfined quantum critical point (DQCP). Furthermore, we map out the phase diagram of an extended SSM that can be continuously tuned to the SSM, which demonstrates the same DQCP phenomena along a whole critical line. Our results indicate a compelling scenario for understanding the origin of the proposed proximate DQCP in recent experiments of $\mathrm{SrC}{\mathrm{u}}_2(\mathrm{B}{\mathrm{O}}_3{)}_2$.

5+6 pages; 4+5 figures; 3 tables

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• Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states
• From the Shastry-Sutherland model to the $J_1$-$J_2$ Heisenberg model
• Deconfined criticality as intrinsically gapless topological state in one dimension
• Unconventional orders in the maple-leaf ferro-antiferromagnetic Heisenberg model
• Single-layer framework of variational tensor network states
• Spiral Phase and Phase Diagram of the $S$=1/2 XXZ Model on the Shastry-Sutherland Lattice
• Accurate computation of the energy variance and $⟨⟨{\mathcal{L}}^{†}\mathcal{L}⟩⟩$ using iPEPS
• Crystallography-driven molecularization of a two-dimensional spin-$3/2$ magnet