String order in spin liquid phases of spin ladders

Abstract

Two-leg spin ladders have a rich phase diagram if rung, diagonal and plaquette couplings are allowed for. Among the possible phases there are two Haldane-type spin liquid phases without local order parameter, which differ, however, in the topology of the short range valence bonds. We show that these phases can be distinguished numerically by two different string order parameters. We also point out that long range string- and dimer orders can coexist.

References in corpus (6)

• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• One-dimensional spin-liquid without magnon excitations
• Equivalence of the antiferromagnetic Heisenberg ladder to a single $S=1$ chain
• Finitely Correlated Generalized Spin Ladders
• The phase diagram of magnetic ladders constructed from a composite-spin model

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