The spin-1/2 Heisenberg antiferromagnet on a 1/7-depleted triangular lattice: Ground-state properties

Abstract

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf) lattice consisting of triangles and hexagons only. This lattice has z=5 nearest neighbors and its coordination number z is therefore between those of the triangular (z=6) and the kagome (z=4) lattices. Calculating spin-spin correlations, sublattice magnetization, spin stiffness, spin-wave velocity and spin gap we find that the classical 6-sublattice LRO is strongly renormalized by quantum fluctuations, however, remains stable also in the quantum model.

24 pages, 6 figures

References in corpus (1)

• Experimental realization of a 2D fractional quantum spin liquid

Cited by in corpus (23)

• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• Absence of magnetic order for the spin-half Heisenberg antiferromagnet on the star lattice
• Quantum Magnetism in Minerals
• The spin-half Heisenberg antiferromagnet on two Archimedian lattices: From the bounce lattice to the maple-leaf lattice and beyond
• Spangolite: an s=1/2 maple leaf lattice antiferromagnet?
• Another Exact Ground State of a 2D Quantum Antiferromagnet
• Quantum antiferromagnet bluebellite comprising a maple-leaf lattice made of spin-1/2 Cu${}^{2+}$ ions
• Frustrated Magnetism of the Maple-Leaf-Lattice Antiferromagnet MgMn${}_3$O${}_7$$\cdot$3H${}_2$O
• 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
• Copper Tellurium Oxides - A Playground for Magnetism
• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
• Dimensional reduction in quantum spin-1/2 system on a 1/7-depleted triangular lattice
• Two-dimensional short-range spin-spin correlations in the layered spin-3/2 maple leaf lattice antiferromagnet Na2Mn3O7 with crystal stacking disorder
• Effective spin-1 breathing kagome Hamiltonian induced by the exchange hierarchy in the maple leaf mineral bluebellite
• Exact ground states for coupled spin trimers
• Candidate quantum spin liquids on the maple-leaf lattice
• Chiral crossroads in $\mathrm{H}{\mathrm{o}}_3\mathrm{Sc}{\mathrm{O}}_6$: a tale of frustration in maple leaf lattice
• Spin-wave study of entanglement and Rényi entropy for coplanar and collinear magnetic orders in two-dimensional quantum Heisenberg antiferromagnets
• Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
• 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