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Thermal Critical Points and Quantum Critical End Point in the Frustrated Bilayer Heisenberg Antiferromagnet
Physical Review Letters ( IF 8.6 ) Pub Date : 2018-09-17 , DOI: 10.1103/physrevlett.121.127201
J. Stapmanns , P. Corboz , F. Mila , A. Honecker , B. Normand , S. Wessel

We consider the finite-temperature phase diagram of the S=1/2 frustrated Heisenberg bilayer. Although this two-dimensional system may show magnetic order only at zero temperature, we demonstrate the presence of a line of finite-temperature critical points related to the line of first-order transitions between the dimer-singlet and -triplet regimes. We show by high-precision quantum Monte Carlo simulations, which are sign-free in the fully frustrated limit, that this critical point is in the Ising universality class. At zero temperature, the continuous transition between the ordered bilayer and the dimer-singlet state terminates on the first-order line, giving a quantum critical end point, and we use tensor-network calculations to follow the first-order discontinuities in its vicinity.

中文翻译:

沮丧的双层海森堡反铁磁体中的热临界点和量子临界点

我们考虑了 小号=1个/2个沮丧的海森堡双层膜。尽管此二维系统可能仅在零温度下显示磁阶,但我们证明了存在与二聚体-单重态和-三重态形式之间的一阶跃迁线相关的有限温度临界点线。我们通过高精度的量子蒙特卡罗模拟(在完全受挫的极限中没有符号)证明,该临界点属于Ising通用性类别。在零温度下,有序双层和二聚体-单态之间的连续过渡终止于一阶直线,给出了量子临界终点,我们使用张量网络计算来跟踪其附近的一阶不连续点。
更新日期:2018-09-18
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