Tensor network states and ground-state fidelity for quantum spin ladders

被引:25
作者
Li, Sheng-Hao [1 ]
Shi, Qian-Qian
Su, Yao-Heng
Liu, Jin-Hua
Dai, Yan-Wei
Zhou, Huan-Qiang
机构
[1] Chongqing Univ, Ctr Modern Phys, Chongqing 400044, Peoples R China
来源
PHYSICAL REVIEW B | 2012年 / 86卷 / 06期
基金
中国国家自然科学基金;
关键词
HEISENBERG LADDER; PHASE-DIAGRAM; CHAINS; RENORMALIZATION; EXCITATIONS; TRANSITIONS; SYSTEMS; MODEL;
D O I
10.1103/PhysRevB.86.064401
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We have developed an efficient tensor network algorithm for spin ladders, which generates ground-state wave functions for infinite-size quantum spin ladders. The algorithm is able to efficiently compute the ground-state fidelity per lattice site, a universal phase transition marker, thus offering a powerful tool to unveil quantum many-body physics underlying spin ladders. To illustrate our scheme, we consider the two-leg and three-leg Heisenberg spin ladders with staggering dimerization, the two-leg Heisenberg spin ladder with cyclic four-spin exchange, and the ferromagnetic frustrated two-leg ladder. The ground-state phase diagrams thus yielded are reliable, compared with the previous studies based on the the exact diagonalization and the density matrix renormalization group. Our results indicate that the ground-state fidelity per lattice site successfully captures quantum criticalities in spin ladders.
引用
收藏
页数:12
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