A. O. Sorokin, A. V. Syromyatnikov, “Chiral spin liquid in a two-dimensional helical <nobr>$XY$</nobr> magnet with two chiral order parameters”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2012, Volume 96, Issue 6,Pages <nobr>449

This article is cited in 6 papers

CONDENSED MATTER

Chiral spin liquid in a two-dimensional helical $XY$ magnet with two chiral order parameters

A. O. Sorokin^a, A. V. Syromyatnikov^ab

^a B. P. Konstantinov Petersburg Nuclear Physics Institute, Russian Academy of Sciences
^b St. Petersburg State University, Faculty of Physics

Abstract: The critical properties of an $XY$ helimagnet on a square lattice with two chiral order parameters are studied by Monte Carlo simulations. This model is a modification of the $J_1$–$J_2$–$J_3$ model with $J_2=0$. The case of different third range order interactions $J_3$ are considered, $J_3^a\ne J_3^b$ . A first order transition is found away from the Lifshitz points $4J_3^a=J_1$ and $4J_3^b=J_1$. It is pointed out that a chiral spin liquid phase possibly exists near the Lifshitz points.

Received: 06.04.2012
Revised: 16.08.2012