Universal emergence of spatially-modulated structures induced by flexo-antiferrodistortive coupling in multiferroics
Eugene A. Eliseev, Sergei V. Kalinin, Yijia Gu, Maya D. Glinchuk,, Victoria Khist, Albina Borisevich, Venkatraman Gopalan, Long-Qing Chen, and, Anna N. Morozovska

TL;DR
This paper demonstrates a universal coupling mechanism in multiferroics that induces spatially-modulated structures, offering a unified explanation for various experimentally observed domain patterns.
Contribution
It introduces the concept of a universal flexo-antiferrodistortive coupling as a fundamental factor in multiferroics, expanding understanding of their domain structures.
Findings
Universal coupling exists in all antiferrodistortive systems.
Coupling leads to incommensurate, spatially-modulated phases.
Provides a mesoscopic explanation for observed domain structures.
Abstract
We proved the existence of a universal flexo-antiferrodistortive coupling as a necessary complement to the well-known flexoelectric coupling. The coupling is universal for all antiferrodistortive systems and can lead to the formation of incommensurate, spatially-modulated phases in multiferroics. Our analysis can provide a self-consistent mesoscopic explanation for a broad range of modulated domain structures observed experimentally in multiferroics.
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