Magnetic frustration in an iron based Cairo pentagonal lattice

Abstract

The Fe3+ lattice in the Bi2Fe4O9 compound is found to materialize the first analogue of a magnetic pentagonal lattice. Due to its odd number of bonds per elemental brick, this lattice, subject to first neighbor antiferromagnetic interactions, is prone to geometric frustration. The Bi2Fe4O9 magnetic properties have been investigated by macroscopic magnetic measurements and neutron diffraction. The observed non-collinear magnetic arrangement is related to the one stabilized on a perfect tiling as obtained from a mean field analysis with direct space magnetic configurations calculations. The peculiarity of this structure arises from the complex connectivity of the pentagonal lattice, a novel feature compared to the well-known case of triangle-based lattices.

References in corpus (2)

• Ising models of quantum frustration
• Substantial magneto-electric coupling near room temperature in Bi2Fe4O9

Cited by in corpus (23)

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• Quantum magnetism on the Cairo pentagonal lattice
• Cobalt substitution induced magnetodielectric enhancement in multiferroic Bi2Fe4O9
• 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
• Spin-Flop Phenomenon of Two-Dimensional Frustrated Antiferromagnets without Anisotropy in Spin Space
• Frustrated Ising model on the Cairo pentagonal lattice
• Frustrated pentagonal Cairo lattice in the non-collinear antiferromagnet Bi4Fe5O13F
• 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
• Phase diagram of the Cairo pentagonal XXZ spin-1/2 magnet under a magnetic field
• 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
• Tetragonal Mexican-Hat Dispersion and Switchable Half-Metal State with Multiple Anisotropic Weyl Fermions in Penta-Graphene
• Magnetic properties of a spin-1/2 octagonal lattice
• 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
• Collapsing Behavior of the Ferrimagnetic Ground State of the $S=1/2$ Heisenberg Antiferromagnet on the Lieb Lattice due to Frustration
• Tight-binding dispersion of the prismatic pentagonal lattice
• Refined spin Hamiltonian on the Cairo pentagonal lattice of Bi2Fe4O9