Nematicity Liquid in a Trimerized-Kagome Antiferromagnet

We theoretically study low-temperature properties of the antiferromagnetic Heisenberg model with half-integer spin S on kagome lattice large trimerization. have derived a low-energy effective for general in terms and nematicity operators triangular units, studied their correlations = 3/2 by classical Monte Carlo simulations. The previous 1/2 case [M. Ferrero et al., Phys. Rev. B 68, 214431 (2003)] reported liquid state at low temperatures driven glassy behavior isolated dimers trimers nematicities. results show that are connected weak links to form defective planar network. At very temperatures, nematicities slow dynamics, cluster spins continue fluctuate nonperiodically frozen background characteristic time dynamics scales temperature following power law.