Distinct Spin Liquids and their Transitions in Spin-1/2 XXZ Kagome Antiferromagnets

Abstract

By using the density matrix renormalization group, we study the spin-liquid phases of spin-$1/2$ XXZ kagome antiferromagnets. We find that the emergence of spin liquid phase does not depend on the anisotropy of the XXZ interaction. In particular, the two extreme limits---Ising (strong $S^z$ interaction) and XY (zero $S^z$ interaction)---host the same spin-liquid phases as the isotropic Heisenberg model. Both the time-reversal-invariant spin liquid and the chiral spin liquid with spontaneous time-reversal symmetry breaking are obtained. We show they evolve continuously into each other by tuning the second- and third-neighbor interactions. At last, we discuss the possible implication of our results on the nature of spin liquid in nearest neighbor XXZ kagome antiferromagnets, including the most studied nearest neighbor spin-$1/2$ kagome anti-ferromagnetic Heisenberg model.

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Cited by in corpus (12)

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• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
• Constraints on topological order in Mott Insulators
• Critical behavior of the QED${}_3$-Gross-Neveu model: Duality and deconfined criticality
• The ground-state phase diagram of the XXZ spin-s kagome antiferromagnet: A coupled-cluster study
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Lattice effects on Laughlin wave functions and parent Hamiltonians
• Stability of the spin-$1/2$ kagome ground state with breathing anisotropy
• Staircase of crystal phases of hard-core bosons on the Kagome lattice
• Chiral liquid phase of simple quantum magnets
• Determining topological order from infinite projected entangled pair states