ABSTRACT
We investigate the possibleregular magnetic order(RMO) for the spin models with globalO(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 follow the prescription introduced by Messioet al(2011Phys. Rev.B83184401) for thep6mgroup and extended their work for different subgroups ofp6m, i.e.,p6,p3,p3m1, andp31m. We list all the possible regular magnetic orders for triangular and kagome lattices, which fall into the category of these groups. We calculate the energies and the spin structure factors for each of these states.
ABSTRACT
We have studied the nearest neighbor Heisenberg model with added Dzyaloshinskii-Moriya interaction using Schwinger boson mean-field theory considering the in-plane component as well as out-of-plane component. Motivated by the experimental result of vesignieite that the ground state is in aQ = 0long-range order state, we first looked at the classical ground state of the model and considered the mean-field ansatz which mimics the classical ground state in the largeSlimit. We have obtained the ground-state phase diagram of this model and calculated properties of different phases. We have also studied the above model numerically using exact diagonalization up to a system sizeN= 30. We have compared the obtained results from these two approaches. Our results are in agreement with the experimental result of the vesignieite.
