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- Title
Emergent Halperin–Saslow mode, gauge glass and quenched disorders in quantum Ising magnet TmMgGaO<sub>4</sub>.
- Authors
Huang, Chun-Jiong; Wang, Xiaoqun; Wang, Ziqiang; Chen, Gang
- Abstract
Quenched disorders could bring novel quantum excitations and models to certain quantum magnets. Motivated by recent experiments on the quantum Ising magnet TmMgGaO4, we explore the effects of the quenched disorder and the interlayer coupling in this triangular lattice Ising antiferromagnet. It is pointed out that the weak quenched (nonmagnetic) disorder would convert the emergent 2D Berezinskii–Kosterlitz–Thouless (BKT) phase and the critical region into a U(1) gauge glass. There will be an emergent Halperin–Saslow mode associated with this gauge glass. Using the Imry-Ma's renormalization group result, we explain the fate of the finite-field C 3 symmetry breaking transition at the low temperatures. The ferromagnetic interlayer coupling would suppress the BKT phase and generate a tiny ferromagnetism. With quenched disorders, this interlayer coupling changes the 2D gauge glass into a 3D gauge glass, and the Halperin–Saslow mode persists. This work merely focuses on addressing a phase regime in terms of emergent U(1) gauge glass behaviors and hope to inspire future works and thoughts in weakly disordered frustrated magnets in general.
- Subjects
MAGNETS; ISING model; RENORMALIZATION group; GLASS; SUPERCONDUCTING magnets; SYMMETRY breaking; ANTIFERROMAGNETIC materials; RENORMALIZATION (Physics)
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2024, Vol 38, Issue 3, p1
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979224500401