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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, Jinhua Liu, Huan-Qiang Zhou

Published May 17, 2011• 0 citations
arXivHTMLPDF

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.

DOI
10.48550/arxiv.1105.3276

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Groundstate fidelity phase diagram of the fully anisotropic two-leg spin-12\tfrac{1}{2}21​XXZladder
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