Maple Leaf Antiferromagnet in a Magnetic Field

Abstract

We analyze the quantum antiferromagnet on the maple leaf lattice in the presence of a magnetic field. Starting from its exact dimer ground state and for a magnetic field strength of the order of the local dimer spin exchange coupling, we perform a strong coupling expansion and extract an effective hardcore boson model. The interplay of effective many-body interactions, suppressed single-particle dynamics, and correlated hopping gives way to an intriguing series of superfluid to insulator transitions which correspond to magnetization plateaux in terms of the maple leaf spin degrees of freedom. While we find plateaux at intermediate magnetization to be dominated by bosonic density wave order, we conjecture plateau formation from multi-boson bound states due to correlated hopping for lower magnetization.

arXiv comment5 pages, 4 figures

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Cited by in corpus (16)

• Phase diagram of the $J$-$J_d$ Heisenberg Model on the Maple-Leaf Lattice: Neural networks and density matrix renormalization group
• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
• Effective spin-1 breathing kagome Hamiltonian induced by the exchange hierarchy in the maple leaf mineral bluebellite
• Candidate quantum spin liquids on the maple-leaf lattice
• Tensor network analysis of the maple-leaf antiferromagnet spangolite
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Chiral crossroads in $\mathrm{H}{\mathrm{o}}_3\mathrm{Sc}{\mathrm{O}}_6$: a tale of frustration in maple leaf lattice
• Symmetry breaking and competing valence bond states in the star lattice Heisenberg antiferromagnet
• Ferromagnetic Haldane state and dimer multiplet state of quantum ferromagnets
• Lee-Yang formalism for phase transitions of interacting fermions using tensor networks
• Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
• Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice
• Magnetization of Antiferromagnetic Cactus Graph Model with Exact Dimer Ground State
• Spin excitation of the Heisenberg antiferromagnet with frustration: from the bounce-lattice antiferromagnet through the maple-leaf-lattice antiferromagnet to the exact-dimer system
• Simplex Crystal Ground State and Magnetization Plateaus in the Spin-$1/2$ Heisenberg Model on the Ruby Lattice
• Crystallography-driven molecularization of a two-dimensional spin-$3/2$ magnet