Topological Nematic Spin Liquid on the Square-Kagome Lattice

Abstract

The ground state of the spin$-1/2$ kagome antiferromagnet remains uncertain despite decades of active research. Here we step aside from this debated question to address the ground-state nature of a related, and potentially just as rich, system made of corner-sharing triangles: the square-kagome lattice (SKL). Our work is motivated by the recent synthesis of a distorted SKL compound mentioned in [Morita & Tohyama, J. Phys. Soc. Japan 87, 043704 (2018)]. We have studied its spin$-1/2$ $J_1$-$J_2$ phase diagram with an unrestricted Schwinger boson mean-field theory (SBMFT). We show that, in addition of agreeing with previous studies, three original phases appear: two incommensurate orders and a topological quantum spin liquid with weak nematicity. The topological order is characterized by fluxes on specific gauge-invariant quantities and the phase is stable under anisotropic perturbations relevant for experiments. Finally, we provide dynamical structure factors of the reported phases that could be observed in inelastic neutron scattering.

Core text updated, 2 appendices added with 4 new figures

References in corpus (10)

• Identifying Topological Order by Entanglement Entropy
• Properties of an algebraic spin liquid on the kagome lattice
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Projected wave function study of Z2 spin liquids on the kagome lattice for the spin-1/2 quantum Heisenberg antiferromagnet
• Time-reversal-symmetry-breaking chiral spin liquids: a projective symmetry group approach of bosonic mean-field theories
• Symplectic N and time reversal in frustrated magnetism
• Exotic disordered phases in the quantum $J_1-J_2$ model on the honeycomb lattice
• Flux expulsion and greedy bosons: frustrated magnets at large N
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Evidence of a spin liquid phase in the frustrated honeycomb lattice

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• Non-Coplanar Magnetic Orders in Classical Square-Kagome Antiferromagnets
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