Microwave Cavity Spectroscopy of the Highly Frustrated Magnetic System Ho₃Ga₅O₁₂

The collective spin dynamics at a quantum phase transition in a frustrated magnet [1] is an open question in magnetism. To probe such spin dynamics, we study Ho₃Ga₅O₁₂, a rare earth garnet with frustrated magnetic interactions, which is furthermore a realization of the transverse Ising spin model when cooled below 50 K [2]. The low energy collective spin dynamics of Ho₃Ga₅O₁₂ can be studied at very low temperature using microwave cavity spectroscopy, specifically by utilizing loop gap resonance structures [3], which directly measure the material’s dynamic susceptibility with great precision. Here, we study the magnetic phase transition of Ho₃Ga₅O₁₂ using a dilution refrigerator with a vector magnet to map the complex behavior of this system.

[1] P.C.E. Stamp et al., arXiv:2408.03510 (2024)

[2] J. M. Paddison et al., arXiv:1908.03530 (2019)

[3] A. K. Jones et al., arXiv:2312.04750 (2024)