标题： 量化$S=1/2$三角晶格反铁磁体的相图和哈密顿量：连接理论与实验 显示英文标题

标题： Quantifying the Phase Diagram and Hamiltonian of $S=1/2$ Kagome Antiferromagnets: Bridging Theory and Experiment

摘要： 自旋-$1/2$ kagome反铁磁体是实现量子自旋液体（QSL）基态的有力候选者。 虽然QSL基态被预测为纯海森堡模型的特性，但理解在实际材料中可能存在的额外相互作用对QSL的鲁棒性影响是该领域的一个前沿问题。 在这里，我们采用大规模密度矩阵重整化群模拟来研究最近邻交换耦合 $J_2$ 和狄拉克-莫里亚相互作用 $D$的影响，这些相互作用对于理解典型的kagome材料herbertsmithite和Zn-barlowite至关重要。 通过使用最大为XC12的簇，并将结果外推到热力学极限，我们精确地描绘了QSL相的范围，该范围在扩展的参数范围 $J_2$ 和 $D$内保持鲁棒。 将模拟的静态和动态自旋结构因子与非弹性中子散射直接比较，揭示了herbertsmithite和Zn-barlowite哈密顿量的参数空间，并且重要的是，提供了有力的证据表明这两种材料都存在于QSL相中。 这些结果在这个最难以捉摸的物质状态中建立了理论与实验的强大一致性。 显示英文摘要

摘要： Spin-$1/2$ kagome antiferromagnets are leading candidates for realizing quantum spin liquid (QSL) ground states. While QSL ground states are predicted for the pure Heisenberg model, understanding the robustness of the QSL to additional interactions that may be present in real materials is a forefront question in the field. Here we employ large-scale density-matrix renormalization group simulations to investigate the effects of next-nearest neighbor exchange couplings $J_2$ and Dzyaloshinskii-Moriya interactions $D$, which are relevant to understanding the prototypical kagome materials herbertsmithite and Zn-barlowite. By utilizing clusters as large as XC12 and extrapolating the results to the thermodynamic limit, we precisely delineate the scope of the QSL phase, which remains robust across an expanded parameter range of $J_2$ and $D$. Direct comparison of the simulated static and dynamic spin structure factors with inelastic neutron scattering reveals the parameter space of the Hamiltonians for herbertsmithite and Zn-barlowite, and, importantly, provides compelling evidence that both materials exist within the QSL phase. These results establish a powerful convergence of theory and experiment in this most elusive state of matter.