标题： 二维受挫量子材料的有限温度张量网络算法 显示英文标题

标题： Finite temperature tensor network algorithm for frustrated two-dimensional quantum materials

摘要： 旨在对自然量子系统进行更现实的经典描述，我们提出了一种二维张量网络算法来研究受挫模型量子系统和实际量子材料的有限温度特性。 为此，我们引入了无限投影纠缠单纯形算子假设来研究热力学性质。 为了获得最先进的基准结果，我们探索了在Kagome晶格上的自旋-1/2海森堡反铁磁体，这是一个我们研究有限磁场和温度下磁化平台熔化的系统。 与实际量子材料的实验数据建立紧密联系后，我们继续研究Ca$_{10}$Cr$_7$O$_{28}$的有限温度特性。 我们将该材料在有限温度下存在外加磁场时的磁化曲线与经典模拟数据进行比较。 作为首个将热涨落和量子关联结合到该材料研究中的理论工具，我们的工作有助于解决实验数据与先前理论工作在磁化过程方面的现有争议。 显示英文摘要

摘要： Aimed at a more realistic classical description of natural quantum systems, we present a two-dimensional tensor network algorithm to study finite temperature properties of frustrated model quantum systems and real quantum materials. For this purpose, we introduce the infinite projected entangled simplex operator ansatz to study thermodynamic properties. To obtain state-of-the-art benchmarking results, we explore the highly challenging spin-1/2 Heisenberg anti-ferromagnet on the Kagome lattice, a system for which we investigate the melting of the magnetization plateaus at finite magnetic field and temperature. Making close connection to actual experimental data of real quantum materials, we go on to studying the finite temperature properties of Ca$_{10}$Cr$_7$O$_{28}$. We compare the magnetization curve of this material in the presence of an external magnetic field at finite temperature with classically simulated data. As a first theoretical tool that incorporates both thermal fluctuations as well as quantum correlations in the study of this material, our work contributes to settling the existing controversy between the experimental data and previous theoretical works on the magnetization process.