Abstract: Geometrically frustrated antiferromagnets are leading candidates for realizing quantum spin liquid (QSL) states. While there is a consensus on the existence of a QSL phase, its precise nature remains largely under debate. In this talk, I will argue that the situation is more intricate: multiple competing states can arise in the QSL-relevant regime with distinct dynamical spectral signatures. This behavior is robust across different cluster sizes, suggesting the persistence of these competing states towards the thermodynamic limit. I will also present a comparison between numerical simulations and neutron-scattering experiments, showing quantitative agreement in this elusive state of matter.
[1] S. Jiang, S. R. White, S. A. Kivelson, H. -C. Jiang, arXiv:2602.14892 (2026)
[2] S. Jiang, A. C. Campello, W. He, J. Wen, D. M. Pajerowski, Y. S. Lee, H. -C. Jiang, npj Comput. Mater. (2026)