Regular magnetic orders in triangular and kagome lattices

TL;DR

This paper classifies all possible regular magnetic orders in triangular and kagome lattices using group theory, providing a comprehensive list of candidate ground states and their properties.

Contribution

It extends previous group theoretical methods to identify all regular magnetic orders on these lattices, including energy and structure factor calculations.

Findings

All possible RMOs for kagome and triangular lattices are listed.

Energy and spin structure factors for each RMO are calculated.

Provides a comprehensive classification useful for variational ground state studies.

Abstract

We investigate the possible regular magnetic order (RMO) for the spin models with global O(3) spin rotation, based on a group theoretical approach for triangular and kagome lattices. The main reason to study these RMOs is that they are good variational candidates for the ground states of many specific models. In this work, we followed the prescription introduced by Messio et al. (L. Messio, C. Lhuillier, and G. Misguich, Phys. Rev. B, 2011, 83, 184401) for the p6m group and extended their work for different subgroups of p6m, i.e., p6, p3, p3m1, and p31m. We have listed all the possible regular magnetic orders for kagome and triangular lattices, which fall into the category of these groups. We calculate the energy and the spin structure factors for each of these states.