Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets

Abstract

Recent work has shown that the triangular lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg and XXZ antiferromagnets may exhibit coplanar or supersolid orders proximate to a gapless Dirac spin liquid phase. We explore a distinct $SU(2N)\times SU(M)$ fermionic parton approach, complemented by variational Monte Carlo calculations for the spin-$1/2$ model, to study the phase diagram of these models. We also calculate their dynamical spin response including parton interactions within a random phase approximation, and discuss implications for neutron scattering on triangular lattice cobaltates Ba${}_3$CoSb${}_2$O${}_9$, Na${}_2$BaCo(PO${}_4$)${}_2$, K${}_2$Co(SeO${}_3$)${}_2$, Rb${}_2$Co(SeO${}_3$)${}_2$, and Yb-based magnet KYbSe${}_2$.

16 pages, 14 figures

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Cited by in corpus (5)

• Wannier states and spin supersolid physics in the triangular antiferromagnet K${}_2$Co(SeO${}_3$)${}_2$
• Emergent Spin Supersolids in Frustrated Quantum Materials
• Dynamics and thermodynamics of the S = 5/2 almost Heisenberg triangular lattice antiferromagnet K2Mn(SeO3)2
• Non-linear spin wave theory in the strong easy-axis limit of the triangular XXZ model
• Dissipationless dynamics of spin supersolid states in a spin-1/2 triangular antiferromagnet with impurities