DMRG study of the Bond Alternating \textbf{S}=1/2 Heisenberg ladder with Ferro-Antiferromagnetic couplings

Abstract

We obtain the phase diagram in the parameter space $(J^{\prime }/J,\gamma )$ and an accurate estimate of the critical line separating the different phases. We show several measuments of the magnetization, dimerization, nearest neighbours correlation, and density of energy in the different zones of the phase diagram, as well as a measurement of the string order parameter proposed as the non vanishing phase order parameter characterizing Haldane phases. All these results will be compared in the limit $J^{\prime }/J\gg 1$ with the behaviour of the $\text{S}=1$ Bond Alternated Heisenberg Chain (BAHC). The analysis of our data supports the existence of a dimer phase separated by a critical line from a Haldane one, which has exactly the same nature as the Haldane phase in the $\text{S}=1$ BAHC.

arXiv commentVersion 4. 8 pages, 15 figures (12 figures in document)

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• Critical Lines and Massive Phases in Quantum Spin Ladders with Dimerization
• String and conventional order parameters in the solvable modulated quantum chain
• Asymmetric spin-1/2 two-leg ladders
• Twisted Order Parameter applied to Dimerized Ladders
• Constructing Landau framework for topological order: Quantum chains and ladders
• Ground state fidelity in bond-alternative Ising chains with Dzyaloshinskii-Moriya interactions
• Frustrated spin-1/2 ladder with ferro- and antiferromagnetic legs
• Quantum phase diagram of a frustrated spin-1/2 system on a Trellis Ladder
• Spin nematic states in antiferromagnets containing ferromagnetic bonds
• Brane order and quantum magnetism in modulated anisotropic ladders
• Supersymmetry approach to delocalization transitions in a network model of the weak field quantum Hall effect and related models