Abstract Quantum spin liquids are exotic quantum phases of matter that do not order even at zero temperature. While there are several toy models and simple Hamiltonians that could host a quantum spin liquid as their ground state, it is very rare to find actual, realistic materials that exhibit their properties. At the same time, the classical simulation of such instances of strongly correlated systems is intricate and reliable methods are scarce. In this work, we investigate the quantum magnet Ca10Cr 7 O28 that has recently been discovered to exhibit properties of a quantum spin liquid in inelastic neutron scattering experiments. This compound has a distorted bilayer Kagome lattice crystal structure consisting of Cr5＋ ions with spin- 1 ∕ 2 moments. Coincidentally, the lattice structure renders a tensor network algorithm in 2D applicable that can be seen as a new variant of a projected entangled simplex state algorithm in the thermodynamic limit. In this first numerical investigation of this material that takes into account genuine quantum correlations, good agreement with the experimental findings is found. Our study contributes to uplifting tensor networks from conceptual tools to methods to describe real two-dimensional quantum materials.

中文翻译：

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双层Kagome化合物Ca10Cr7O28的张量网络研究

摘要 量子自旋液体是奇异的物质量子相，即使在零温度下也不会有序。虽然有几个玩具模型和简单的哈密顿算子可以将量子自旋液体作为它们的基态，但很少能找到真正的、逼真的材料来展示它们的特性。同时，这种强相关系统实例的经典模拟是复杂的，可靠的方法很少。在这项工作中，我们研究了最近被发现在非弹性中子散射实验中表现出量子自旋液体特性的量子磁铁 Ca10Cr 7 O28。该化合物具有扭曲的双层 Kagome 晶格晶体结构，由具有自旋- 1 ∕ 2 矩的 Cr5+ 离子组成。巧合的是，晶格结构使 2D 中的张量网络算法适用，可以将其视为热力学极限中投影纠缠单纯形状态算法的新变体。在考虑到真正的量子相关性的这种材料的第一次数值研究中，发现与实验结果非常吻合。我们的研究有助于将张量网络从概念工具提升到描述真实二维量子材料的方法。