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arXiv · 1105.3276

Ground-state fidelity and quantum criticality in a two-leg ladder with cyclic four-spin exchange

Sheng-Hao Li·Qian-Qian Shi·Jin-Hua Liu·Huan-Qiang Zhou
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Abstract

We investigate a two-leg Heisenberg spin ladder with cyclic four-spin exchange by exploiting a newly-developed tensor network algorithm. The algorithm allows to efficiently compute the ground-state fidelity per lattice site, which enables us to establish the ground-state phase diagram for quantum lattice many-body systems. The latter is based on the observation that, for an infinite-size system, any singularity on a ground-state fidelity surface characterizes a critical point, at which the system undergoes a phase transition. For the two-leg Heisenberg spin-1/2 ladder with cyclic four-spin exchange, six different phases are identified: the ferromagnetic phase, the rung singlet phase, the staggered dimer phase, the scalar chirality phase, the dominant vector chirality region, and the dominant collinear spin region. Our findings are in a good agreement with the previous studies from the exact diagonalization and the density-matrix renormalization group.

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Sheng-Hao Li, Qian-Qian Shi, Jin-Hua Liu, Huan-Qiang Zhou. 2011-05-17. Ground-state fidelity and quantum criticality in a two-leg ladder with cyclic four-spin exchange. https://arxiv.org/abs/1105.3276

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