Universality Class Transition Across the Helimagnetic Ordering in Te-doped Cu$_2$OSeO$_3$

Abstract

Cu$_2$OSeO$_3$ is a multiferroic insulating chiral magnet which exhibits various magnetic orderings at different conditions. The positions of these magnetic phase transitions are known to be sensitive to chemical substitution. Here, we present a universality class analysis of the Cu$_2$OSe$_{1-x}$Te$_x$O$_3$ with $(0\leq x \leq 0.1)$. Tellurium is a non-magnetic ion which, upon substitution into the selenium positions of the structure, applies a positive chemical pressure and expands the crystal lattice. Our SANS and magnetometry data indicate that Te inclusion lowers the paramagnetic to helical ordering temperature and the critical field required for the conical to field polarised phase transition. By using the Heat-map Modified Iteration Method that evaluates critical behaviour on both sides of the transition, we show that the Heisenberg to Ising universality class transition of the initial ordering is robust to internal chemical pressure. Additionally, we attribute the decreases with doping in both critical temperature and critical field to be due to decreases in the strength of the Dzyaloshinskii-Moriya and Symmetric Exchange Interactions.