Axion-matter coupling in multiferroics
Henrik S. R{\o}ising, Benjo Fraser, Sin\'ead M. Griffin, Sumanta, Bandyopadhyay, Aditi Mahabir, Sang-Wook Cheong, Alexander V. Balatsky

TL;DR
This paper explores how dark matter axions could couple linearly to multiferroic materials, potentially enhancing magnetic responses near phase transitions, and discusses candidate materials like Lu-Sc hexaferrites.
Contribution
It proposes a novel mechanism for axion-matter coupling in multiferroics without external fields and analyzes the magnetic response enhancement near ferromagnetic transitions.
Findings
Magnetic response is linear in axion-electron coupling.
Fluctuations near ferromagnetic transition can enhance axion-induced magnetic effects.
Candidate materials such as Lu-Sc hexaferrites are identified.
Abstract
Multiferroics (MFs) are materials with two or more ferroic orders, like spontaneous ferroelectric and ferromagnetic polarizations. Such materials can exhibit a magnetoelectric effect whereby magnetic and ferroelectric polarizations couple linearly, reminiscent of, but not identical to the electromagnetic axion coupling. Here we point out a possible mechanism in which an external dark matter axion field couples linearly to ferroic orders in these materials without external applied fields. We find the magnetic response to be linear in the axion-electron coupling. At temperatures close to the ferromagnetic transition fluctuations can lead to an enhancement of the axion-induced magnetic response. Relevant material candidates such as the Lu-Sc hexaferrite family are discussed.
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