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Highly frustrated magnetism in SrHo<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>2</mml:mn></mml:msub></mml:math>O<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>4</mml:mn></mml:msub></mml:math>: Coexistence of two types of short-range order
${\mathrm{SrHo}}_{2}{\mathrm{O}}_{4}$ is a geometrically frustrated magnet in which the magnetic Ho${}^{3+}$ ions form honeycomb layers connected through a network of zigzag chains. At low-temperature two distinct types of short-range magnetic order can be inferred from single-crystal diffraction data, collected using both polarized and unpolarized neutrons. In the ($hk0$) plane the …