Tensor network states for quantum spin ladders

Sheng-Hao Li; Yao-Heng Su; Yan-Wei Dai; Huan-Qiang Zhou

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arXiv · 1105.3016

Tensor network states for quantum spin ladders

Sheng-Hao Li·Yao-Heng Su·Yan-Wei Dai·Huan-Qiang Zhou

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Abstract

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 ground-state phase diagram thus yielded is reliable, compared with the previous studies based on the density matrix renormalization group. Our results indicate that the ground-state fidelity per lattice site successfully captures quantum criticalities in spin ladders.

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Sheng-Hao Li, Yao-Heng Su, Yan-Wei Dai, Huan-Qiang Zhou. 2011-05-16. Tensor network states for quantum spin ladders. https://arxiv.org/abs/1105.3016

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