Quantum magnetism on the Cairo pentagonal lattice

Abstract

We present an extensive analytical and numerical study of the antiferromagnetic Heisenberg model on the Cairo pentagonal lattice, the dual of the Shastry-Sutherland lattice with a close realization in the S=5/2 compound Bi2Fe4O9. We consider a model with two exchange couplings suggested by the symmetry of the lattice, and investigate the nature of the ground state as a function of their ratio x and the spin S. After establishing the classical phase diagram we switch on quantum mechanics in a gradual way that highlights the different role of quantum fluctuations on the two inequivalent sites of the lattice. The most important findings for S=1/2 include: (i) a surprising interplay between a collinear and a four-sublattice orthogonal phase due to an underlying order-by-disorder mechanism at small x (related to an emergent J1-J2 effective model with J2 >> J1), and (ii) a non-magnetic and possibly spin-nematic phase with d-wave symmetry at intermediate x.

29 pages, 19 figures; published version

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• Substantial magneto-electric coupling near room temperature in Bi2Fe4O9
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Cited by in corpus (26)

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• Frustration and Dzyaloshinsky-Moriya anisotropy in the kagome francisites Cu${}_3$Bi(SeO${}_3{)}_2$O${}_2$X
• Frustrated magnetism and resonating valence bond physics in two-dimensional kagome-like magnets
• Entanglement spectroscopy of SU(2)-broken phases in two dimensions
• Ab initio investigation of the exchange interactions in Bi${}_2$Fe${}_4$O${}_9$: The Cairo pentagonal lattice compound
• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• Magnetization Process of the S=1/2 Heisenberg Antiferromagnet on the Cairo Pentagon Lattice
• Antiferromagnetic Heisenberg Model on the Icosahedron: Influence of Connectivity and the Transition from the Classical to the Quantum Limit
• Spin-Flop Phenomenon of Two-Dimensional Frustrated Antiferromagnets without Anisotropy in Spin Space
• Phase diagram of the 1/3-filled extended Hubbard model on the Kagome lattice
• Frustrated pentagonal Cairo lattice in the non-collinear antiferromagnet Bi4Fe5O13F
• The antiferromagnetic $S=1/2$ Heisenberg model on the ${\text{C}}_{60}$ fullerene geometry
• Structure and magnetism of Cr2BP3O12: Towards the quantum-classical crossover in a spin-3/2 alternating chain
• Reentrance of disorder in the anisotropic shuriken Ising model
• Dimer Physics in the Frustrated Cairo Pentagonal Antiferromagnet Bi2Fe4O9
• Collinear order and chirality-reorientation transition in the Cairo pentagonal magnet Bi${}_4$Fe${}_5$O${}_{13}$F
• Instability of a ferrimagnetic state of a frustrated S=1/2 Heisenberg antiferromagnet in two dimensions
• Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice
• Geometrically frustrated Cairo pentagonal lattice stripe with Ising and Heisenberg exchange interactions
• Spin-1/2 Ising-Heisenberg Cairo pentagonal model in the presence of an external magnetic field: Effect of Landé g-factors
• Impact of Dzyaloshinsky-Moriya Interactions and Tilts of the g Tensors on the Magnetization Process of a Spherical Kagome Cluster in {W72V30}
• Infrared phonon spectroscopy on the Cairo pentagonal antiferromagnet Bi2Fe4O9: a study through the pressure induced structural transition
• Experimental determination of the magnetic interactions of frustrated Cairo pentagon lattice materials
• Numerical Study of S=1/2 Heisenberg Antiferromagnet on the Floret Pentagonal Lattice
• Tight-binding dispersion of the prismatic pentagonal lattice
• Collapsing Behavior of the Ferrimagnetic Ground State of the $S=1/2$ Heisenberg Antiferromagnet on the Lieb Lattice due to Frustration