Based on Kitaev-Heisenberg model with Dzyaloshinskii-Moriya (DM) interactions, we studied nature of possible magnetic phases in frustrated hyperkagome iridate, Na4Ir3O8 (Na-438). Using Monte-Carlo simulation, we showed that the phase diagram is mostly covered by two competing magnetic ordered phases; Z2 symmetry breaking (SB) phase and Z6 SB phase, latter of which is stabilized by the classical order by disorder. These two phases are separated by a first order phase transition line with Z8-like symmetry. The critical nature at the Z6 SB ordering temperature is characterized by the 3D XY universality class, below which U(1) to Z6 crossover phenomena appears; the Z6 spin anisotropy becomes irrelevant in a length scale shorter than a crossover length Λ∗ while becomes relevant otherwise. A possible phenomenology of polycrystalline Na-438 is discussed based on this crossover phenomena.
@article{arxiv.1509.01002,
title = {Nature of Possible Magnetic Phases in Frustrated Hyperkagome Iridate},
author = {Ryuichi Shindou},
journal= {arXiv preprint arXiv:1509.01002},
year = {2016}
}