Groundstate fidelity phase diagram of the fully anisotropic two-leg spin-1/2 XXZ ladder

Abstract

The fully anisotropic two-leg spin-1/2 $XXZ$ ladder model is studied in terms of an algorithm based on the tensor network representation of quantum many-body states as an adaptation of projected entangled pair states to the geometry of translationally invariant infinite-size quantum spin ladders. The tensor network algorithm provides an effective method to generate the groundstate wave function, which allows computation of the groundstate fidelity per lattice site, a universal marker to detect phase transitions in quantum many-body systems. The groundstate fidelity is used in conjunction with local order and string order parameters to systematically map out the groundstate phase diagram of the ladder model. The phase diagram exhibits a rich diversity of quantum phases. These are the ferromagnetic, stripe ferromagnetic, rung singlet, rung triplet, N$\acute{\mathrm{e}}$el, stripe N$\acute{\mathrm{e}}$el and Haldane phases, along with the two $XY$ phases $XY1$ and $XY2$.

23 pages, 15 figures. Revised version with additional text and figures. New Format

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Cited by in corpus (4)

• Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
• Complex Phase Diagram of Doped XXZ Ladder: Localization and Pairing
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
• Topological floating phase of dipolar bosons in an optical ladder