The antiferromagnetic cross-coupled spin ladder: Quantum fidelity and tensor networks approach

Xi Hao Chen, Sam Young Cho*, Huan Qiang Zhou, Murray T. Batchelor

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)

    Abstract

    We investigate the phase diagram of the cross-coupled Heisenberg spin ladder with antiferromagnetic couplings. For this model, the results for the existence of the columnar dimer phase, which was predicted on the basis of weak coupling field theory renormalization group arguments, have been conflicting. The numerical work on this model has been based on various approaches, including exact diagonalization, series expansions and density-matrix renormalization group calculations. Using the recently-developed tensor network states and groundstate fidelity approach for quantum spin ladders, we find no evidence for the existence of the columnar dimer phase. We also provide an argument based on the symmetry of the Hamiltonian, which suggests that the phase diagram for antiferromagnetic couplings consists of a single line separating the rung-singlet and the Haldane phases.

    Original languageEnglish
    Pages (from-to)1114-1119
    Number of pages6
    JournalJournal of the Korean Physical Society
    Volume68
    Issue number9
    DOIs
    Publication statusPublished - 1 May 2016

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