Oral: Dynamic orders of a Quantum Spin Liquid at Non-zero Temperatures

Here, we demonstrate dynamic signatures of a quantum spin liquid state by investigating Kitaev's spin model on the hyper-honeycomb lattice, where a quantum spin liquid state is stabilized as a thermodynamic phase at low temperatures, clearly separated from the high-temperature paramagnetic phase by a thermal phase transition. With the large-scale quantum Monte Carlo simulation, we addressed the real-time dynamics of spin correlation function of this system.

As a result, as entering the quantum spin liquid phase, we find rapid oscillation sharply develops in local spin correlation. Our results show that a quantum spin liquid may be characterized by a sharp growth of coherent dynamics of the system, which we name as a dynamic order. We further propose that a dynamic-order may naturally detect a featureless thermal phase transition, which has been reported in a class of strongly correlated materials.