量子Ising磁体TmMgGaO$_4$中的涌现Halperin-Saslow模式与Gauge Glass
Emergent Halperin-Saslow mode and Gauge Glass in quantum Ising magnet TmMgGaO$_4$
AI总结：
本文探讨量子Ising磁体TmMgGaO$_4$中淬火无序与层间耦合的效应，指出弱无序将BKT相转化为gauge glass并伴随Halperin-Saslow模式，层间耦合则将其转变为三维gauge glass。
摘要：
我们提出淬火无序可以为某些量子磁体带来新颖的量子激发和模型。受近期量子Ising磁体TmMgGaO$_4$实验的启发，我们探讨了该三角晶格Ising反铁磁体中淬火无序与层间耦合的效应。我们指出，弱淬火（非磁性）无序会将涌现的二维Berezinskii-Kosterlitz-Thouless (BKT)相及临界区转化为gauge glass。伴随该gauge glass将出现涌现的Halperin-Saslow模式。利用Imry-Ma论证，我们进一步解释了低温下有限场$C_3$对称性破缺相变的命运。铁磁层间耦合会抑制BKT相并产生微弱铁磁性。在淬火无序存在下，该层间耦合将二维gauge glass转变为三维gauge glass，且Halperin-Saslow模式持续存在。本工作仅聚焦于基于涌现U(1) gauge glass行为探讨某一相区，期望能启发未来对一般弱无序阻挫磁体的研究与思考。
英文摘要：
We propose quenched disorders could bring novel quantum excitations and models to certain quantum magnets. Motivated by the recent experiments on the quantum Ising magnet TmMgGaO$_4$, 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 (non-magnetic) disorder would convert the emergent 2D Berezinskii-Kosterlitz-Thouless (BKT) phase and the critical region into a gauge glass. There will be an emergent Halperin-Saslow mode associated with this gauge glass. Using the Imry-Ma argument, we further 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 the 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
