Scale-invariant magnetic textures in the strongly correlated oxide NdNiO${}_3$

Abstract

Strongly correlated quantum solids are characterized by an inherently granular electronic fabric, with spatial patterns that can span multiple length scales in proximity to a critical point. Here, we used a resonant magnetic X-ray scattering nanoprobe with sub-100 nm spatial resolution to directly visualize the texture of antiferromagnetic domains in NdNiO${}_3$. Surprisingly, our measurements revealed a highly textured magnetic fabric, which is shown to be robust and nonvolatile even after thermal erasure across its ordering ($T_{N\acute{e}el}$) temperature. The scale-free distribution of antiferromagnetic domains and its non-integral dimensionality point to a hitherto-unobserved magnetic fractal geometry in this system. These scale-invariant textures directly reflect the continuous nature of the magnetic transition and the proximity of this system to a critical point. The present study not only exposes the near-critical behavior in rare earth nickelates but also underscores the potential for novel X-ray scattering nanoprobes to image the multiscale signatures of criticality near a critical point.

arXiv comment8 pages, 3 figures

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• From hidden metal-insulator transition to Planckian-like dissipation by tuning disorder in a nickelate
• Inhomogeneous Kondo-lattice in geometrically frustrated Pr${}_2$Ir${}_2$O${}_7$
• Imaging antiferromagnetic domain fluctuations and the effect of atomic-scale disorder in a doped spin-orbit Mott insulator
• Nanoscale visualization of the thermally-driven evolution of antiferromagnetic domains in FeTe thin films
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• Fresnel diffraction imaging of surface nanostructure using coherent resonant X-ray scattering
• Deep Learning Hamiltonians from Disordered Image Data in Quantum Materials
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