Liao H J, Xie Z Y, Chen J, Liu Z Y, Xie H D, Huang R Z, Normand B, Xiang T
Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China.
Department of Physics, Renmin University of China, Beijing 100872, China.
Phys Rev Lett. 2017 Mar 31;118(13):137202. doi: 10.1103/PhysRevLett.118.137202. Epub 2017 Mar 29.
The defining problem in frustrated quantum magnetism, the ground state of the nearest-neighbor S=1/2 antiferromagnetic Heisenberg model on the kagome lattice, has defied all theoretical and numerical methods employed to date. We apply the formalism of tensor-network states, specifically the method of projected entangled simplex states, which combines infinite system size with a correct accounting for multipartite entanglement. By studying the ground-state energy, the finite magnetic order appearing at finite tensor bond dimensions, and the effects of a next-nearest-neighbor coupling, we demonstrate that the ground state is a gapless spin liquid. We discuss the comparison with other numerical studies and the physical interpretation of this result.
受挫量子磁学中的决定性问题，即 Kagome 晶格上最近邻 S = 1/2 反铁磁海森堡模型的基态，至今一直难倒了所有已采用的理论和数值方法。我们应用张量网络态的形式体系，具体而言是投影纠缠单形态方法，该方法将无限系统规模与对多体纠缠的正确考量相结合。通过研究基态能量、在有限张量键维度出现的有限磁序以及次近邻耦合的影响，我们证明基态是一种无隙自旋液体。我们讨论了与其他数值研究的比较以及这一结果的物理解释。
