Quantum Phases in the Honeycomb-Lattice $J_1$--$J_3$ Ferro-Antiferromagnetic Model

Abstract

Using large-scale density-matrix renormalization group calculations and minimally augmented spin-wave theory, we demonstrate that the phase diagram of the quantum $S=\frac{1}{2}$ $J_1$--$J_3$ ferro-antiferromagnetic model on the honeycomb lattice differs dramatically from the classical one. It hosts the double-zigzag and Ising-z phases as unexpected intermediaries between ferromagnetic and zigzag states that are also extended beyond their classical regions of stability. In broad agreement with quantum order-by-disorder arguments, these collinear phases replace the classical spiral state.

7+9 pages, 5+9 figures; Fixed typos in Sec.VII of SM, others

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• Comparative Raman Scattering Study of Crystal Field Excitations in Co-based Quantum Magnets
• BaCo${}_2$(AsO${}_4$)${}_2$: Strong Kitaev, After All
• Intermediate field-induced phase of the honeycomb magnet BaCo${}_2$(AsO${}_4$)${}_2$
• Quantum Fluctuations in the van der Walls material $\mathrm{NiP}{\mathrm{S}}_3$
• Bond-dependent interactions and ill-ordered state in the honeycomb cobaltate BaCo${}_2$(AsO${}_4$)${}_2$
• Unconventional orders in the maple-leaf ferro-antiferromagnetic Heisenberg model
• Probing universal critical scaling with scan-DMRG
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Order-by-disorder from Schwinger bosons in a frustrated honeycomb ferromagnet
• Demystifying quantum escapism on the honeycomb lattice
• Stabilization of zigzag order in NiPS${}_3$ via positive biquadratic interaction