Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets

Abstract

A promising route towards the realization of chiral spin liquids is the quantum melting of classically noncoplanar spin states via quantum fluctuations. In the classical realm, such noncoplanar orders can effectively be stabilized by interactions beyond nearest neighbors. Motivated by the recent synthesis of materials with a maple-leaf lattice geometry, we study the effect of cross-plaquette couplings on elementary Heisenberg antiferromagnets for this geometry (as well as their ferromagnetic counterparts). We find a rich spectrum of noncoplanar states, including a novel icosahedral order as well as incommensurate spin spirals, using large-scale Monte Carlo simulations in combination with a semi-analytical analysis. To inspect the potential quantum melting of these states, we analyze the quantum $S=1/2$ variant of these models using pseudo-fermion functional renormalization group (pf-FRG) simulations. Notably, we indeed find extended parameter regimes lacking long-range magnetic order -- in regions classically occupied by noncoplanar orders -- which we putatively identify with the possible formation of chiral quantum spin liquids.

22 pages, 20 figures

References in corpus (28)

• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Feedback-optimized parallel tempering Monte Carlo
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Theory of helical spin crystals: phases, textures and properties
• Modified kagome physics in the natural spin-1/2 kagome lattice systems - kapellasite Cu3Zn(OH)6Cl2 and haydeeite Cu3Mg(OH)6Cl2
• Twelve sublattice ordered phase in the J1-J2 model on the kagome lattice
• Toward Perfection: Kapellasite, Cu3Zn(OH)6Cl2, a New Model S = 1/2 Kagome Antiferromagnet
• Variational Monte Carlo study of chiral spin liquid in the extended Heisenberg model on the Kagome lattice
• Novel magnetic orderings in the kagome Kondo-lattice model
• Haydeeite: a spin-1/2 kagome ferromagnet
• Intertwined nematic orders in a frustrated ferromagnet
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Spontaneous antiferromagnetic skyrmion/antiskyrmion lattice and spiral spin liquid states in the frustrated triangular lattice
• Pseudo-fermion functional renormalization group for spin models
• Hedgehog-lattice spin texture in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Chirality and $Z_2$ vortices in an Heisenberg spin model on the kagomé lattice
• Pinch-points to half-moons and up in the stars: the kagome skymap
• Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
• Maple Leaf Antiferromagnet in a Magnetic Field
• Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice
• Phase diagram of the $J$-$J_d$ Heisenberg Model on the Maple-Leaf Lattice: Neural networks and density matrix renormalization group
• Nature of quantum spin liquids of the S=1/2 Heisenberg antiferromagnet on the triangular lattice: A parallel DMRG study
• Non-Coplanar Magnetic Orders in Classical Square-Kagome Antiferromagnets
• Emergent skyrmion-based chiral order in zero-field Heisenberg antiferromagnets on the breathing kagome lattice
• Chiral Broken Symmetry Descendants of the Kagomé Lattice Chiral Spin Liquid
• Candidate quantum spin liquids on the maple-leaf lattice
• Noncoplanar and chiral spin states on the way towards Néel ordering in fullerene Heisenberg models

Cited by in corpus (10)

• Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite KCu${}_7$TeO${}_4$(SO${}_4$)${}_5$Cl
• Tensor network analysis of the maple-leaf antiferromagnet spangolite
• Chiral crossroads in $\mathrm{H}{\mathrm{o}}_3\mathrm{Sc}{\mathrm{O}}_6$: a tale of frustration in maple leaf lattice
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Unconventional orders in the maple-leaf ferro-antiferromagnetic Heisenberg model
• Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
• Spin excitation of the Heisenberg antiferromagnet with frustration: from the bounce-lattice antiferromagnet through the maple-leaf-lattice antiferromagnet to the exact-dimer system
• Crystallography-driven molecularization of a two-dimensional spin-$3/2$ magnet