Frustrated pentagonal Cairo lattice in the non-collinear antiferromagnet Bi4Fe5O13F
Artem M. Abakumov, Dmitry Batuk, Alexander A. Tsirlin, Clemens, Prescher, Leonid Dubrovinsky, Denis V. Sheptyakov, Walter Schnelle, Joke, Hadermann, Gustaaf Van Tendeloo

TL;DR
This study investigates the complex magnetic behavior of Bi4Fe5O13F, revealing multiple magnetic transitions and a non-collinear antiferromagnetic structure in a pentagonal Cairo lattice, using advanced diffraction and computational techniques.
Contribution
It provides the first detailed analysis of the magnetic structure and interactions in Bi4Fe5O13F, a model system for the Cairo pentagonal spin lattice, highlighting its unique frustrated exchange couplings.
Findings
Multiple magnetic transitions at T1=62 K, T2=71 K, and TN=178 K.
Formation of a fully ordered non-collinear antiferromagnetic structure below T1.
Evidence of intricate magnetic transitions not previously observed in pentagonal Cairo lattices.
Abstract
The crystal and magnetic structures and underlying magnetic interactions of Bi4Fe5O13F, a model system for studying the physics of the Cairo pentagonal spin lattice, are investigated by transmission electron microscopy, low-temperature synchrotron x-ray and neutron powder diffraction, thermodynamic measurements, and density functional band-structure calculations. The crystal structure of Bi4Fe5O13F contains infinite rutile-like chains of edge-sharing FeO6 octahedra interconnected by the Fe2O7 groups of two corner-sharing FeO4 tetrahedra. The cavities between the chains are filled with the fluorine-centered Bi4F tetrahedra. The Fe3+ cations form pentagonal units that give rise to an unusual topology of frustrated exchange couplings and underlie a sequence of the magnetic transitions at T1= 62 K, T2 = 71 K, and TN = 178 K. Below T1, Bi4Fe5O13F forms a fully ordered non-collinear…
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